cometadata/datacite-rtg-text-other-reclassification-records huggingface dataset:
title: Determinization of Finite State Weighted Tree Automata
Creators: name: Borchardt, Björn
name: Vogler, Heiko
Publisher: name: Institut für Informatik, Justus-Liebig-Universität Giessen
Year: 2003

description: We investigate the determinization of nondeterministic bottom-up/top-down finite
state weighted tree automata over some semiring A and compare the resulting four
classes of formal tree series with each other. In particular, for every bottom-up finite
state weighted tree automaton over some semifield (i.e., a semiring which contains
a multiplicative inverse for every nonzero element) we construct a deterministic
bottom-up weighted tree automaton. This construction is called partial determinization,
because it may lead to an automaton with an infinite set of states. We prove
sufficient conditions under which the partial determinization produces a bottom-up
finite state weighted tree automaton which is equivalent to the original one. Using this
partial determinization we generalize well known theorems on classes of tree languages
(cf. [14] Chapter II, Theorems 2.6 and 2.10, Example 2.11), viz if A is a commutative
and locally finite semifield, then (i) nondeterministic bottom-up, (ii) deterministic
bottom-up, and (iii) nondeterministic top-down finite state weighted tree automata
are equally powerful. Moreover, if the input alphabet is not trivial, then deterministic
top-down finite state weighted tree automata are strictly less powerful than the
aforementioned classes.
description: Journal of Automata, Languages and Combinatorics, Volume 8, Number 3, 2003, 417-463
Determination of Pareto exponents in economic models driven by Markov multiplicative processes
Creators: name: Beare, Brendan K.
name: Toda, Alexis Akira
Publisher: name: arXiv
Year: 2017
Subjects: subject: Econometrics (econ.EM)
subject: Statistics Theory (math.ST)
subject: FOS: Economics and business
subject: FOS: Mathematics

description: This article contains new tools for studying the shape of the stationary distribution of sizes in a dynamic economic system in which units experience random multiplicative shocks and are occasionally reset. Each unit has a Markov-switching type which influences their growth rate and reset probability. We show that the size distribution has a Pareto upper tail, with exponent equal to the unique positive solution to an equation involving the spectral radius of a certain matrix-valued function. Under a non-lattice condition on growth rates, an eigenvector associated with the Pareto exponent provides the distribution of types in the upper tail of the size distribution.
title: On the Complexity of Simon Automata over the Dyck Language
Creators: name: D'Alessandro, Flavio
Publisher: name: Institut für Informatik, Justus-Liebig-Universität Giessen
Year: 2003

description: In this paper the following problem is studied Let $\bar\Sigma=\Sigma\cup\bar\Sigma$ be a finite alphabet
where $\Sigma$ and $\bar\Sigma$ are disjoint and equipotent sets. Let $L$ be a rational language over $\bar\Sigma$
and let $S_L$ be the Simon distance automaton of $L$. Let $C$ be the square matrix with
entries in the extended set of natural numbers given by the formula: for every pair
$(p, q)$ of states of $S_L$, $C_{pq}$ is the minimum weight of a computation in $S_L$ from $p$ to $q$
labelled by a Dyck word if such a computation exists, otherwise it is $\infty$. We exhibit a
polynomial time algorithm which allows us to compute the matrix $C$ in the case $\Sigma$ is
the unary alphabet. This result partially solves an open question raised in [4].
description: Journal of Automata, Languages and Combinatorics, Volume 8, Number 3, 2003, 465-476
Sonnenfleckenzeichnung unnummeriert, einen Zürcher Lückentag ergänzend.
Zeichnung von Flecken und Fackelflächen zur Ermittlung der Sonnenaktivität am 30.11.1954, erstellt von Adnan Kiral an der Universitätssternwarte Istanbul
Creators: name: [s.n.]
Publisher: name: [s.n.]
Year: 1954

description: Bleistiftzeichnung mit Tinte und Bleistift, erstellt als Zeichnung nach eigener Vorlage am Istanbul Universitesi Observatuari, Beyazit (Istanbul). Instrument: Zeiss Refraktor Teleskop (Öffnung 130 mm, f = 2000 mm, projiziertes Sonnenbild D = 25 cm)
Sonnenfleckenzeichnung Nr. 18791.
Zeichnung von Flecken und Fackelflächen zur Ermittlung der Sonnenaktivität am 03.09.1954, erstellt von Adolf Lemans
Creators: name: [s.n.]
Publisher: name: [s.n.]
Year: 1954

description: Bleistiftzeichnung mit Tinte und Farbstift überschrieben, erstellt als Projektionsbildzeichnung in der Eidgenössischen Sternwarte Zürich. Instrument: Kern-Merz-Refraktor.
Die Beobachtungen zu Einzelflecken und zu Sonnenfleckengruppen wurden mit Bleistift auf einem Vordruck eingetragen. Unter Umständen sind Angaben zu Protuberanzen vermerkt
Higher-Order Equational Pattern Anti-Unification [Preprint]
Creators: name: Cerna, David M.
name: Kutsia, Temur
Publisher: name: arXiv
Year: 2018
Subjects: subject: Logic in Computer Science (cs.LO)
subject: FOS: Computer and information sciences

description: We consider anti-unification for simply typed lambda terms in associative, commutative, and associative-commutative theories and develop a sound and complete algorithm which takes two lambda terms and computes their generalizations in the form of higher-order patterns. The problem is finitary: the minimal complete set of generalizations contains finitely many elements. We define the notion of optimal solution and investigate special fragments of the problem for which the optimal solution can be computed in linear or polynomial time.
description: Submitted to FSCD 2018
title: The LD and DLAD Bio-Operations on Formal Languages
Creators: name: Daley, Mark
name: Ibarra, Oscar H.
name: Kari, Lila
name: Mcquillan, Ian
name: Nakano, Koji
Publisher: name: Institut für Informatik, Justus-Liebig-Universität Giessen
Year: 2003

description: We continue the language theoretic study of operations suggested by the gene unscrambling
process in stichotrichous ciliates. One of the two complementary models
of gene unscrambling is based on operations inspired by the ways in which a DNA
molecule can fold: hi (hairpin loop with inverted pointers) which reverses a substring
between a pointer sequence and its reverse, ld (loop with direct pointers)-excision which
deletes a substring between two pointers and dlad (double loop with alternating direct
pointers)-excision / reinsertion which swaps two substrings marked by pointer-pairs.
We specifically consider the closure properties of several families of languages under
the operations 1d and dlad and the solvability of language equations involving these
operations.
description: Journal of Automata, Languages and Combinatorics, Volume 8, Number 3, 2003, 477-498
Sonnenfleckenzeichnung, unnummeriert.
Zeichnung von Flecken und Fackelflächen zur Ermittlung der Sonnenaktivität am 05.11.1954, erstellt am Sonnenobservatorium Kanzelhöhe, Kärnten
Creators: name: [s.n.]
Publisher: name: [s.n.]
Year: 1954

description: Bleistiftzeichnung mit Tinte und Bleistift, erstellt als Zeichnung nach eigener Vorlage im Sonnenobservatorium Kanzelhöhe in Sattendorf, Österreich. Instrument: Heliostat mit Refraktor Eigenbau (Öffnung 110mm, f = 1650mm, projiziertes Sonnenbild D = 25cm)
Passalus striatissimus Luederwaldt 1934
Creators: name: Fonseca, Cláudio Ruy Vasconcelos Da
name: Reyes-Castillo, Pedro
Publisher: name: Zenodo
Year: 2004
Subjects: Biodiversity
Taxonomy
Animalia
Arthropoda
Insecta
Coleoptera
Passallidae
Passalus
Passalus striatissimus

description: striatissimus Luederwaldt 1934 a­20
Rio de Janeiro
description: Published as part of Fonseca, Cláudio Ruy Vasconcelos Da & Reyes-Castillo, Pedro, 2004, Synopsis on Passalidae family (Coleoptera: Scarabaeoidea) of Brazil with description of a new species of Veturius Kaup, 1871, pp. 1-26 in Zootaxa 789 (1) on page 16, DOI: 10.11646/zootaxa.789.1.1, http://zenodo.org/record/5028960
title: Computing Raster Images from Grid Picture Grammars
Creators: name: Drewes, Frank
name: Ewert, Sigrid
name: Klempien-Hinrichs, Renate
name: Kreowski, Hans-Jörg
Publisher: name: Institut für Informatik, Justus-Liebig-Universität Giessen
Year: 2003

description: While a 2-dimensional grid picture grammar may generate pictures (defined as subsets

of the unit square) with arbitrarily small details, only a finite number of them can be
made visible as raster images for any given raster. We present an algorithm based on
bottom-up tree automata which computes the set of all raster images of the pictures
generated by a given grid picture grammar.
description: Journal of Automata, Languages and Combinatorics, Volume 8, Number 3, 2003, 499-519
Modeling of a charged dielectric interface: Comparison of the continuum and discrete lattice representations of surface charges
Creators: name: Yuan, Jiaxing
name: Wang, Yanwei
Publisher: name: arXiv
Year: 2018
Subjects: subject: Soft Condensed Matter (cond-mat.soft)
subject: FOS: Physical sciences

description: Two main approaches in particle-based simulations for modeling a charged surface are using explicit, discrete charges and continuum, uniform charges. It is well-known that these two approaches could lead to substantially distinct ionic distributions, whereas a systematic exploration of the origin is still absent. In this short communication, we calculate the electrostatic force of a single point charge above a planar substrate characterized by a surface charge density and dielectric mismatch and compare the differences in the electrostatic forces produced by discrete and continuum representations of surface charges. We demonstrate that while the model of uniform surface charges gives a rather simple picture, the model of discrete surface charges can exhibit different scenarios, depending on the respective values of ion-surface distance versus lattice spacing and a self-image interaction parameter.
description: 3 pages, 3 figures
Sonnenfleckenzeichnung unnummeriert, einen Zürcher Lückentag ergänzend.
Zeichnung von Flecken und Fackelflächen zur Ermittlung der Sonnenaktivität am 09.08.1954, erstellt von Adnan Kiral an der Universitätssternwarte Istanbul
Creators: name: [s.n.]
Publisher: name: [s.n.]
Year: 1954

description: Bleistiftzeichnung mit Tinte und Bleistift, erstellt als Zeichnung nach eigener Vorlage am Istanbul Universitesi Observatuari, Beyazit (Istanbul). Instrument: Zeiss Refraktor Teleskop (Öffnung 130 mm, f = 2000 mm, projiziertes Sonnenbild D = 25 cm)
The Regularity Problem for Lie Groups with Asymptotic Estimate Lie Algebras
Creators: name: Hanusch, Maximilian
Publisher: name: arXiv
Year: 2018
Subjects: subject: Functional Analysis (math.FA)
subject: Differential Geometry (math.DG)
subject: FOS: Mathematics
subject: 22E65

description: We solve the regularity problem for Milnor's infinite dimensional Lie groups in the asymptotic estimate context. Specifically, let $G$ be a Lie group with asymptotic estimate Lie algebra $\mathfrak{g}$, and denote its evolution map by $\mathrm{evol}\colon \mathrm{D}\equiv \mathrm{dom}[\mathrm{evol}]\rightarrow G$, i.e., $\mathrm{D}\subseteq C^0([0,1],\mathfrak{g})$. We show that $\mathrm{evol}$ is $C^\infty$-continuous on $\mathrm{D}\cap C^\infty([0,1],\mathfrak{g})$ if and only if $\mathrm{evol}$ is $C^0$-continuous on $\mathrm{D}\cap C^0([0,1],\mathfrak{g})$. We furthermore show that $G$ is k-confined for $k\in \mathbb{N}\sqcup\{\mathrm{lip},\infty\}$ if $G$ is constricted. (The latter condition is slightly less restrictive than to be asymptotic estimate.) Results obtained in a previous paper then imply that an asymptotic estimate Lie group $G$ is $C^\infty$-regular if and only if it is Mackey complete, locally $μ$-convex, and has Mackey complete Lie algebra - In this case, $G$ is $C^k$-regular for each $k\in \mathbb{N}_{\geq 1}\sqcup\{\mathrm{lip},\infty\}$ (with ``smoothness restrictions'' for $k\equiv\mathrm{lip}$), as well as $C^0$-regular if $G$ is even sequentially complete with integral complete Lie algebra.
description: 27 pages. Version as published at Indagationes Mathematicae (title refined; presentation improved; proof of Lemma 9 revised). arXiv admin note: text overlap with arXiv:1711.03508
title: Languages Related to the Properties of Disjunctivity and Code
Creators: name: Fan, Chen-Ming
name: Shyr, Huei-Jan
Publisher: name: Institut für Informatik, Justus-Liebig-Universität Giessen
Year: 2003

description: In this paper, we define two new types of words, $d_1$-words and $d_2$-words and show

that the free semigroup $X^+$ can be represented as a disjoint union of the disjunctive
languages $D(1)$, the set of all $d$-primitive words, $N_{d_1}$ the set of all $d_1$-words and $N_{d_2}$ the
set of all $d_2$-words. Both the languages $N_{d_1}$ and $N_{d_2}$ are also shown to be disjunctive
languages. We show that for any language $L\subseteq X^+$, the language $L\cdot Q$, where $Q$ is
the set of all primitive words, is not a 2-code and we give a characterization of that
$P\cdot Q^{(i)}$ is a 2-code for some prefix code $P$ and $O^{(i)}= \{f^i \mid f\in Q\}, $i\geq 2$. We proved
that each of the disjunctive languages $Q$, $D(1)^{(i)}$, $i\geq 1$, $D(n)$, $n\geq 2$, $N_{d_1}$, and $N_{d_2}$
removing a code from it results a dense language. On the other hand, the set $Q^{(i)}$, $i\geq 2$
removing a code or $Q$ removing a prefix code both results disjunctive languages. Any
disjunctive language union a non-dense language is disjunctive. Also any disjunctive
language removing a non-dense language is also shown to be disjunctive.
description: Journal of Automata, Languages and Combinatorics, Volume 8, Number 3, 2003, 521-538
Sonnenfleckenzeichnung Nr. 18880.
Zeichnung von Flecken und Fackelflächen zur Ermittlung der Sonnenaktivität am 15.12.1954, erstellt von Helmut Müller
Creators: name: [s.n.]
Publisher: name: [s.n.]
Year: 1954

description: Bleistiftzeichnung mit Tinte und Farbstift überschrieben, erstellt als Projektionsbildzeichnung in der Eidgenössischen Sternwarte Zürich. Instrument: Kern-Merz-Refraktor.
Die Beobachtungen zu Einzelflecken und zu Sonnenfleckengruppen wurden mit Bleistift auf einem Vordruck eingetragen. Unter Umständen sind Angaben zu Protuberanzen vermerkt
title: On Monotonic Directable Nondeterministic Automata
Creators: name: Imreh, Balázs
name: Imreh, Csanád
name: Ito, Masami
Publisher: name: Institut für Informatik, Justus-Liebig-Universität Giessen
Year: 2003

description: A finite automaton is called directable if it has an input word which takes it from

every state into the same state. Directability of nondeterministic (n.d.) automata can
be defined in different ways. In [7], three notions of directability, D1-, D2-, and D3-directability,
are introduced. Here, for each $i = 1,2,3$, we present sharp bounds for the
maximal lengths of the shortest D$i$-directing words of $n$-state monotonic D$i$-directable
n. d. automata.
description: Journal of Automata, Languages and Combinatorics, Volume 8, Number 3, 2003, 539-547
Growth of the Weil-Petersson inradius of moduli space
Creators: name: Wu, Yunhui
Publisher: name: arXiv
Year: 2018
Subjects: subject: Geometric Topology (math.GT)
subject: Complex Variables (math.CV)
subject: Differential Geometry (math.DG)
subject: FOS: Mathematics

description: In this paper we study the systole function along Weil-Petersson geodesics. We show that the square root of the systole function is uniformly Lipschitz on Teichmüller space endowed with the Weil-Petersson metric. As an application, we study the growth of the Weil-Petersson inradius of moduli space of Riemann surfaces of genus $g$ with $n$ punctures as a function of $g$ and $n$. We show that the Weil-Petersson inradius is comparable to $\sqrt{\ln{g}}$ with respect to $g$, and is comparable to $1$ with respect to $n$. Moreover, we also study the asymptotic behavior, as $g$ goes to infinity, of the Weil-Petersson volumes of geodesic balls of finite radii in Teichmüller space. We show that they behave like $o((\frac{1}{g})^{(3-ε)g})$ as $g\to \infty$, where $ε>0$ is arbitrary.
description: Annales de l'Institut Fourier, to appear
Sonnenfleckenzeichnung Nr. 18858.
Zeichnung von Flecken und Fackelflächen zur Ermittlung der Sonnenaktivität am 16.11.1954, erstellt von Helmut Müller
Creators: name: [s.n.]
Publisher: name: [s.n.]
Year: 1954

description: Bleistiftzeichnung mit Tinte und Farbstift überschrieben, erstellt als Projektionsbildzeichnung in der Eidgenössischen Sternwarte Zürich. Instrument: Kern-Merz-Refraktor.
Die Beobachtungen zu Einzelflecken und zu Sonnenfleckengruppen wurden mit Bleistift auf einem Vordruck eingetragen. Später wurden ergänzende Angaben aufgrund auswärtiger Beobachtungen direkt auf der Fleckenzeichnung hinzugefügt. Unter Umständen sind Angaben zu Protuberanzen vermerkt
Sonnenfleckenzeichnung Nr. 18872.
Zeichnung von Flecken und Fackelflächen zur Ermittlung der Sonnenaktivität am 03.12.1954, erstellt von Helmut Müller
Creators: name: [s.n.]
Publisher: name: [s.n.]
Year: 1954

description: Bleistiftzeichnung mit Tinte und Farbstift überschrieben, erstellt als Projektionsbildzeichnung in der Eidgenössischen Sternwarte Zürich. Instrument: Kern-Merz-Refraktor.
Die Beobachtungen zu Einzelflecken und zu Sonnenfleckengruppen wurden mit Bleistift auf einem Vordruck eingetragen. Später wurden ergänzende Angaben aufgrund auswärtiger Beobachtungen direkt auf der Fleckenzeichnung hinzugefügt. Unter Umständen sind Angaben zu Protuberanzen vermerkt
Sonnenfleckenzeichnung Nr. 18822.
Zeichnung von Flecken und Fackelflächen zur Ermittlung der Sonnenaktivität am 07.10.1954, erstellt von Adolf Lemans
Creators: name: [s.n.]
Publisher: name: [s.n.]
Year: 1954

description: Bleistiftzeichnung mit Tinte und Farbstift überschrieben, erstellt als Projektionsbildzeichnung in der Eidgenössischen Sternwarte Zürich. Instrument: Kern-Merz-Refraktor.
Die Beobachtungen zu Einzelflecken und zu Sonnenfleckengruppen wurden mit Bleistift auf einem Vordruck eingetragen. Später wurden ergänzende Angaben aufgrund auswärtiger Beobachtungen direkt auf der Fleckenzeichnung hinzugefügt. Unter Umständen sind Angaben zu Protuberanzen vermerkt
Passalus cayor Percheron 1835
Creators: name: Fonseca, Cláudio Ruy Vasconcelos Da
name: Reyes-Castillo, Pedro
Publisher: name: Zenodo
Year: 2004
Subjects: Biodiversity
Taxonomy
Animalia
Arthropoda
Insecta
Coleoptera
Passallidae
Passalus
Passalus cayor

description: cayor Percheron 1835 ­67
punctifrons Dejean 1837 ­195
Brazil
description: Published as part of Fonseca, Cláudio Ruy Vasconcelos Da & Reyes-Castillo, Pedro, 2004, Synopsis on Passalidae family (Coleoptera: Scarabaeoidea) of Brazil with description of a new species of Veturius Kaup, 1871, pp. 1-26 in Zootaxa 789 (1) on page 17, DOI: 10.11646/zootaxa.789.1.1, http://zenodo.org/record/5028960
On the centralizer of vector fields: criteria of triviality and genericity results
Creators: name: Leguil, Martin
name: Obata, Davi
name: Santiago, Bruno
Publisher: name: arXiv
Year: 2018
Subjects: subject: Dynamical Systems (math.DS)
subject: Classical Analysis and ODEs (math.CA)
subject: FOS: Mathematics

description: In this paper, we investigate the question of whether a typical vector field on a compact connected Riemannian manifold $M^d$ has a `small' centralizer. In the $C^1$ case, we give two criteria, one of which is $C^1$-generic, which guarantees that the centralizer of a $C^1$-generic vector field is indeed small, namely \textit{collinear}. The other criterion states that a $C^1$ \textit{separating} flow has a collinear $C^1$-centralizer. When all the singularities are hyperbolic, we prove that the collinearity property can actually be promoted to a stronger one, refered as \textit{quasi-triviality}. In particular, the $C^1$-centralizer of a $C^1$-generic vector field is quasi-trivial. In certain cases, we obtain the triviality of the centralizer of a $C^1$-generic vector field, which includes $C^1$-generic Axiom A (or sectional Axiom A) vector fields and $C^1$-generic vector fields with countably many chain recurrent classes. For sufficiently regular vector fields, we also obtain various criteria which ensure that the centralizer is \textit{trivial} (as small as it can be), and we show that in higher regularity, collinearity and triviality of the $C^d$-centralizer are equivalent properties for a generic vector field in the $C^d$ topology. We also obtain that in the non-uniformly hyperbolic scenario, with regularity $C^2$, the $C^1$-centralizer is trivial.
description: This is the final version, accepted in Mathematische Zeitschrift. New introduction and some proofs where rewritten and/or expanded, according to referee's suggestion. Also, a new appendix was added
title: An Algorithm for Analysis of Images in Spatial Information Systems
Creators: name: Bereg, Sergey N.
name: Kelarev, Andrei V.
Publisher: name: Institut für Informatik, Justus-Liebig-Universität Giessen
Year: 2003

description: This paper begins with a brief overview of formal concepts involved in specification
of images in spatial information systems. It is shown how several efficient string processing
algorithms can be used for approximation, compression and analysis of images.
We discuss main adjustments required for applying string algorithms in order to analyze
spatial data. A first basic practical polynomial algorithm for finding all maximal
repeated rectangular patterns in an image is included to illustrate our general approach.
description: Journal of Automata, Languages and Combinatorics, Volume 8, Number 4, 2003, 557-565
Sonnenfleckenzeichnung Nr. 18829.
Zeichnung von Flecken und Fackelflächen zur Ermittlung der Sonnenaktivität am 15.10.1954, erstellt von Helmut Müller
Creators: name: [s.n.]
Publisher: name: [s.n.]
Year: 1954

description: Bleistiftzeichnung mit Tinte und Farbstift überschrieben, erstellt als Projektionsbildzeichnung in der Eidgenössischen Sternwarte Zürich. Instrument: Kern-Merz-Refraktor.
Die Beobachtungen zu Einzelflecken und zu Sonnenfleckengruppen wurden mit Bleistift auf einem Vordruck eingetragen. Später wurden ergänzende Angaben aufgrund auswärtiger Beobachtungen direkt auf der Fleckenzeichnung hinzugefügt. Unter Umständen sind Angaben zu Protuberanzen vermerkt
Strichartz estimates for the Schroedinger equation on non-rectangular two-dimensional tori
Creators: name: Deng, Yu
name: Germain, Pierre
name: Guth, Larry
name: Myerson, Simon
Publisher: name: arXiv
Year: 2018
Subjects: subject: Analysis of PDEs (math.AP)
subject: Classical Analysis and ODEs (math.CA)
subject: Number Theory (math.NT)
subject: FOS: Mathematics
subject: 11L15, 37L50

description: We propose a conjecture for long time Strichartz estimates on generic (non-rectangular) flat tori. We proceed to partially prove it in dimension 2. Our arguments involve on the one hand Weyl bounds; and on the other hands bounds on the number of solutions of Diophantine problems.
description: 28 pages
Sonnenfleckenzeichnung Nr. 18842.
Zeichnung von Flecken und Fackelflächen zur Ermittlung der Sonnenaktivität am 29.10.1954, erstellt von Adolf Lemans
Creators: name: [s.n.]
Publisher: name: [s.n.]
Year: 1954

description: Bleistiftzeichnung mit Tinte und Farbstift überschrieben, erstellt als Projektionsbildzeichnung in der Eidgenössischen Sternwarte Zürich. Instrument: Kern-Merz-Refraktor.
Die Beobachtungen zu Einzelflecken und zu Sonnenfleckengruppen wurden mit Bleistift auf einem Vordruck eingetragen. Unter Umständen sind Angaben zu Protuberanzen vermerkt
title: Latin Trade Algorithms and the Smallest Critical Set in a Latin Square
Creators: name: Cavenagh, Nicholas J.
Publisher: name: Institut für Informatik, Justus-Liebig-Universität Giessen
Year: 2003

description: A critical set is a partial Latin square that has a unique completion to a Latin square,
and is minimal in this property. Suppose that $P$ is a critical set in a Latin square $L$ of
order $n$, and there is one row of $P$ which is empty. Then there are at most two rows of
$P$ with precisely one entry, and thus $|P|\geq 2n - 4$. Moreover, in this case these three
rows in $L$ are isotopic to three adjacent rows in the back circulant Latin square. In
our proof new algorithms for constructing Latin trades in arbitrary Latin squares are
given.
description: Journal of Automata, Languages and Combinatorics, Volume 8, Number 4, 2003, 567-578
Sonnenfleckenzeichnung unnummeriert, einen Zürcher Lückentag ergänzend.
Zeichnung von Flecken und Fackelflächen zur Ermittlung der Sonnenaktivität am 11.10.1954, erstellt am Sonnenobservatorium Kanzelhöhe, Kärnten
Creators: name: [s.n.]
Publisher: name: [s.n.]
Year: 1954

description: Bleistiftzeichnung mit Tinte und Bleistift, erstellt als Zeichnung nach eigener Vorlage im Sonnenobservatorium Kanzelhöhe in Sattendorf, Österreich. Instrument: Heliostat mit Refraktor Eigenbau (Öffnung 110mm, f = 1650mm, projiziertes Sonnenbild D = 25cm)
Sonnenfleckenzeichnung unnummeriert, einen Zürcher Lückentag ergänzend.
Zeichnung von Flecken und Fackelflächen zur Ermittlung der Sonnenaktivität am 21.12.1954, erstellt am Sonnenobservatorium Kanzelhöhe, Kärnten
Creators: name: [s.n.]
Publisher: name: [s.n.]
Year: 1954

description: Bleistiftzeichnung mit Tinte und Bleistift, erstellt als Zeichnung nach eigener Vorlage im Sonnenobservatorium Kanzelhöhe in Sattendorf, Österreich. Instrument: Heliostat mit Refraktor Eigenbau (Öffnung 110mm, f = 1650mm, projiziertes Sonnenbild D = 25cm)
Passalus denticollis Kaup 1869
Creators: name: Fonseca, Cláudio Ruy Vasconcelos Da
name: Reyes-Castillo, Pedro
Publisher: name: Zenodo
Year: 2004
Subjects: Biodiversity
Taxonomy
Animalia
Arthropoda
Insecta
Coleoptera
Passallidae
Passalus
Passalus denticollis

description: denticollis Kaup 1869 ­11
Brazil
description: Published as part of Fonseca, Cláudio Ruy Vasconcelos Da & Reyes-Castillo, Pedro, 2004, Synopsis on Passalidae family (Coleoptera: Scarabaeoidea) of Brazil with description of a new species of Veturius Kaup, 1871, pp. 1-26 in Zootaxa 789 (1) on page 17, DOI: 10.11646/zootaxa.789.1.1, http://zenodo.org/record/5028960
The global moduli theory of symplectic varieties
Creators: name: Bakker, Benjamin
name: Lehn, Christian
Publisher: name: arXiv
Year: 2018
Subjects: subject: Algebraic Geometry (math.AG)
subject: Complex Variables (math.CV)
subject: Differential Geometry (math.DG)
subject: FOS: Mathematics
subject: 32J27, 32S45 (primary), 14B07, 32G13, 14J10, 32S15, 53C26 (secondary)

description: We develop the global moduli theory of symplectic varieties in the sense of Beauville. We prove a number of analogs of classical results from the smooth case, including a global Torelli theorem. In particular, this yields a new proof of Verbitsky's global Torelli theorem in the smooth case (assuming $b_2\geq 5$) which does not use the existence of a hyperkähler metric or twistor deformations.
description: Minor corrections. Final version, to appear in J. Reine Angew. Math
Sonnenfleckenzeichnung unnummeriert, einen Zürcher Lückentag ergänzend.
Zeichnung von Flecken und Fackelflächen zur Ermittlung der Sonnenaktivität am 09.08.1954, erstellt am Sonnenobservatorium Kanzelhöhe, Kärnten
Creators: name: [s.n.]
Publisher: name: [s.n.]
Year: 1954

description: Bleistiftzeichnung mit Tinte und Bleistift, erstellt als Zeichnung nach eigener Vorlage im Sonnenobservatorium Kanzelhöhe in Sattendorf, Österreich. Instrument: Heliostat mit Refraktor Eigenbau (Öffnung 110mm, f = 1650mm, projiziertes Sonnenbild D = 25cm)
Non-Existence of Geometric Minimal Foliations in Hyperbolic Three-Manifolds
Creators: name: Wolf, Michael
name: Wu, Yunhui
Publisher: name: arXiv
Year: 2019
Subjects: subject: Geometric Topology (math.GT)
subject: Differential Geometry (math.DG)
subject: FOS: Mathematics
subject: 30F60, 32G15

description: In this paper we show that every three-dimensional closed hyperbolic manifold admits no locally geometric $1$-parameter family of closed minimal surfaces.
description: Commentarii Mathematici Helvetici, to appear
Sonnenfleckenzeichnung, unnummeriert.
Zeichnung von Flecken und Fackelflächen zur Ermittlung der Sonnenaktivität am 04.12.1954, erstellt von S. am Skalnate Pleso Observatorium
Creators: name: [s.n.]
Publisher: name: [s.n.]
Year: 1954

description: Bleistiftzeichnung mit Tinte und Farbstift, erstellt als Zeichnung nach eigener Vorlage am Skalnate Pleso Observatorium. Auf dem Formular ist vermerkt: Slovenska akademia vied, Slowakische Akademie der Wissenschaften. Es sind zudem statistische Angaben für die Bestimmung der Fleckenrelativzahl notiert. Instrument: unbekannt, Sonnenbild D = 25 cm
Self-respecting worker in the precarious gig economy: A dynamic principal-agent model
Creators: name: Bihary, Zsolt
name: Csóka, Péter
name: Kerényi, Péter
name: Szimayer, Alexander
Publisher: name: arXiv
Year: 2019
Subjects: subject: General Economics (econ.GN)
subject: FOS: Economics and business

description: We introduce a dynamic principal-agent model to understand the nature of contracts between an employer and an independent gig worker. We model the worker's self-respect with an endogenous backward-looking participation constraint; he accepts a job offer if and only if its utility is at least as large as his reference value, which is based on the average of previously realized wages. If the dynamically changing reference value capturing the worker's demand is too high, then no contract is struck until the reference value hits a threshold. Below the threshold, contracts are offered and accepted, and the worker's wage demand follows a stochastic process. We apply our model to perfectly competitive and monopsonistic labor market structures and investigate first-best and second-best solutions. We show that a far-sighted employer with market power may sacrifice instantaneous profit to regulate the agent's demand. Moreover, the far-sighted employer implements increasing and path-dependent effort levels. Our model captures the worker's bargaining power by a vulnerability parameter that measures the rate at which his wage demand decreases when unemployed. With a low vulnerability parameter, the worker can afford to go unemployed and need not take a job at all costs. Conversely, a worker with high vulnerability can be exploited by the employer, and in this case our model also exhibits self-exploitation.
Sonnenfleckenzeichnung, unnummeriert.
Zeichnung von Flecken und Fackelflächen zur Ermittlung der Sonnenaktivität am 07.12.1954, erstellt von S. und V. am Skalnate Pleso Observatorium
Creators: name: [s.n.]
Publisher: name: [s.n.]
Year: 1954

description: Bleistiftzeichnung mit Tinte und Farbstift, erstellt als Zeichnung nach eigener Vorlage am Skalnate Pleso Observatorium. Auf dem Formular ist vermerkt: Slovenska akademia vied, Slowakische Akademie der Wissenschaften. Es sind zudem statistische Angaben für die Bestimmung der Fleckenrelativzahl notiert. Instrument: unbekannt, Sonnenbild D = 25 cm
Passalus lunaris Kaup 1869
Creators: name: Fonseca, Cláudio Ruy Vasconcelos Da
name: Reyes-Castillo, Pedro
Publisher: name: Zenodo
Year: 2004
Subjects: Biodiversity
Taxonomy
Animalia
Arthropoda
Insecta
Coleoptera
Passallidae
Passalus
Passalus lunaris

description: lunaris Kaup 1869 ­12
Amazonas
Pará
Goiás
São Paulo
description: Published as part of Fonseca, Cláudio Ruy Vasconcelos Da & Reyes-Castillo, Pedro, 2004, Synopsis on Passalidae family (Coleoptera: Scarabaeoidea) of Brazil with description of a new species of Veturius Kaup, 1871, pp. 1-26 in Zootaxa 789 (1) on page 17, DOI: 10.11646/zootaxa.789.1.1, http://zenodo.org/record/5028960
Sonnenfleckenzeichnung unnummeriert, einen Zürcher Lückentag ergänzend.
Zeichnung von Flecken und Fackelflächen zur Ermittlung der Sonnenaktivität am 25.09.1954, erstellt am Sonnenobservatorium Kanzelhöhe, Kärnten
Creators: name: [s.n.]
Publisher: name: [s.n.]
Year: 1954

description: Bleistiftzeichnung mit Tinte und Bleistift, erstellt als Zeichnung nach eigener Vorlage im Sonnenobservatorium Kanzelhöhe in Sattendorf, Österreich. Instrument: Heliostat mit Refraktor Eigenbau (Öffnung 110mm, f = 1650mm, projiziertes Sonnenbild D = 25cm)
The stochastic thin-film equation: existence of nonnegative martingale solutions
Creators: name: Gess, Benjamin
name: Gnann, Manuel V.
Publisher: name: arXiv
Year: 2019
Subjects: subject: Probability (math.PR)
subject: Analysis of PDEs (math.AP)
subject: FOS: Mathematics
subject: 60H15, 35R60, 35K35, 35K55, 35K65, 76A20, 76D08

description: We consider the stochastic thin-film equation with colored Gaussian Stratonovich noise in one space dimension and establish the existence of nonnegative weak (martingale) solutions. The construction is based on a Trotter-Kato-type decomposition into a deterministic and a stochastic evolution, which yields an easy to implement numerical algorithm. Compared to previous work, no interface potential has to be included, the initial data and the solution can have de-wetted regions of positive measure, and the Trotter-Kato scheme allows for a simpler proof of existence than in case of Itô noise.
description: 38 pages, revised version, nonnegativity proof changed, details to time regularity and interpolation of operators added
มาตรการทางกฎหมายเกี่ยวกับการบริหารจัดการขยะอิเล็กทรอนิกส์ ในองค์กรปกครองส่วนท้องถิ่น
Creators: name: วีระยุทธ สุโขยะชัย
Publisher: name: สมาคมปรัชญาดุษฎีบัณฑิตทางสังคมศาสตร์ มหาวิทยาลัยรามคำแหง
Year: 2561
Subjects: มาตรการทางกฎหมาย
การบริหารจัดการขยะอิเล็กทรอนิกส์
องค์กรปกครองส่วนท้องถิ่น
Legal Measures
Electronic Waste Management
Local Administrative Organizations

description: วารสารดุษฎีบัณฑิตทางสังคมศาสตร์, 8, พิเศษ (ตุลาคม), 14-26
การป้องกันความเสี่ยงทางการเงินของสถานประกอบการ ในนิคมอุตสาหกรรมแห่งประเทศไทย
Creators: name: นภาพร นิลาภรณ์กุล
name: ธัญวรัตน์ สุวรรณะ
name: กรรณิกา ศรีบุญเรือง
Publisher: name: สมาคมปรัชญาดุษฎีบัณฑิตทางสังคมศาสตร์ มหาวิทยาลัยรามคำแหง
Year: 2561
Subjects: การป้องกันความเสี่ยงทางการเงิน
ความเสี่ยงทางการเงิน
อนุพันธ์ทางการเงิน
Financial Hedging
Financial Risk
Financial Derivative

description: วารสารดุษฎีบัณฑิตทางสังคมศาสตร์, 8, พิเศษ (ตุลาคม), 27-43
Fluctuation-Dissipation and Correlation-Propagation Relations in $(1+3)$D Moving Detector-Quantum Field Systems
Creators: name: Hsiang, Jen-Tsung
name: Hu, B. L.
name: Lin, Shih-Yuin
name: Yamamoto, Kazuhiro
Publisher: name: arXiv
Year: 2019
Subjects: subject: High Energy Physics - Theory (hep-th)
subject: FOS: Physical sciences

description: The fluctuation-dissipation relations (FDR) are powerful relations which can capture the essence of the interplay between a system and its environment. Challenging problems of this nature which FDRs aid in our understanding include the backreaction of quantum field processes like particle creation on the spacetime dynamics in early universe cosmology or quantum black holes. The less familiar, yet equally important correlation-propagation relations (CPR) relate the correlations of stochastic forces on different detectors to the retarded and advanced parts of the radiation propagated in the field. Here, we analyze a system of $N$ uniformly-accelerated Unruh-DeWitt detectors whose internal degrees of freedom (idf) are minimally coupled to a real, massless, scalar field in 4D Minkowski space, extending prior work in 2D with derivative coupling. Using the influence functional formalism, we derive the stochastic equations describing the nonequilibrium dynamics of the idfs. We show after the detector-field dynamics has reached equilibration the existence of the FDR and the CPR for the detectors, which combine to form a {\it generalized} fluctuation-dissipation matrix relation We show explicitly the energy flows between the constituents of the system of detectors and between the system and the quantum field environment. This power balance anchors the generalized FDR. We anticipate this matrix relation to provide a useful guardrail in expounding some basic issues in relativistic quantum information, such as ensuring the self-consistency of the energy balance and tracking the quantum information transfer in the detector-field system.
description: 16 pages
อิทธิพลของความสามารถทางนวัตกรรมในฐานะตัวแปรคั่นกลางที่ถ่ายทอดอิทธิพลของวัฒนธรรมองค์การ การมุ่งเน้นการตลาด การจัดการความรู้ และการเป็นผู้ประกอบการสู่ความได้เปรียบในการแข่งขันอย่างยั่งยืนของอุตสาหกรรมรองเท้าและเครื่องหนัง
Creators: name: ธัญนันท์ บุญอยู่
Publisher: name: สมาคมปรัชญาดุษฎีบัณฑิตทางสังคมศาสตร์ มหาวิทยาลัยรามคำแหง
Year: 2561
Subjects: วัฒนธรรมองค์การ
ความสามารถทางนวัตกรรม
ความได้เปรียบในการแข่งขันอย่างยั่งยืน
Organizational Culture
Innovation
Sustainable Competitive Advantage

description: วารสารดุษฎีบัณฑิตทางสังคมศาสตร์, 8, พิเศษ (ตุลาคม), 44-62
Sonnenfleckenzeichnung Nr. 18782.
Zeichnung von Flecken und Fackelflächen zur Ermittlung der Sonnenaktivität am 25.08.1954, erstellt von Helmut Müller
Creators: name: [s.n.]
Publisher: name: [s.n.]
Year: 1954

description: Bleistiftzeichnung mit Tinte und Farbstift überschrieben, erstellt als Projektionsbildzeichnung in der Eidgenössischen Sternwarte Zürich. Instrument: Kern-Merz-Refraktor.
Die Beobachtungen zu Einzelflecken und zu Sonnenfleckengruppen wurden mit Bleistift auf einem Vordruck eingetragen. Unter Umständen sind Angaben zu Protuberanzen vermerkt
Angular Analysis of \boldmath $Λ_b\to Λ_c (\to Λπ)\ell\barν$
Creators: name: Böer, Philipp
name: Kokulu, Ahmet
name: Toelstede, Jan-Niklas
name: van Dyk, Danny
Publisher: name: arXiv
Year: 2019
Subjects: subject: High Energy Physics - Phenomenology (hep-ph)
subject: High Energy Physics - Experiment (hep-ex)
subject: FOS: Physical sciences

description: We revisit the decay $Λ_b^0\to Λ_c^+ \ell^-\barν$ ($\ell = e,μ,τ$) with a subsequent two-body decay $Λ_c^+ \to Λ^0 π^+$ in the Standard Model and in generic New Physics models. The decay's joint four-differential angular distribution can be expressed in terms of ten angular observables, assuming negligible polarization of the initial $Λ_b$ state. We present compact analytical results for all angular observables, which enables us to discuss their possible New Physics reach. We find that the decay at hand probes more and complementary independent combinations of Wilson coefficients compared to its mesonic counter parts $\bar{B}\to D^{(*)}\ell^-\barν$. Our result for the angular distribution is at variance with some of the results on scalar-vector interference terms in the literature. We provide numerical estimates for all angular observables based on lattice-QCD results for the $Λ_b \to Λ_c$ form factors and account for a recent measurement of the parity-violating parameter in $Λ_c^+\to Λ^0π^+$ decays by BESIII. A numerical implementation of our results is made publicly available as part of the EOS software.
description: 15 pages, 1 table, 1 figure
Sonnenfleckenzeichnung Nr. 18864.
Zeichnung von Flecken und Fackelflächen zur Ermittlung der Sonnenaktivität am 22.11.1954, erstellt von Helmut Müller
Creators: name: [s.n.]
Publisher: name: [s.n.]
Year: 1954

description: Bleistiftzeichnung mit Tinte und Farbstift überschrieben, erstellt als Projektionsbildzeichnung in der Eidgenössischen Sternwarte Zürich. Instrument: Kern-Merz-Refraktor.
Die Beobachtungen zu Einzelflecken und zu Sonnenfleckengruppen wurden mit Bleistift auf einem Vordruck eingetragen. Unter Umständen sind Angaben zu Protuberanzen vermerkt
Dirac physical measures on saddle-type fixed points
Creators: name: Guarino, Pablo
name: Guihéneuf, Pierre-Antoine
name: Santiago, Bruno
Publisher: name: arXiv
Year: 2019
Subjects: subject: Dynamical Systems (math.DS)
subject: FOS: Mathematics

description: In this article we study some statistical aspects of surface diffeomorphisms. We first show that for a $C^1$ generic diffeomorphism, a Dirac invariant measure whose \emph{statistical basin of attraction} is dense in some open set and has positive Lebesgue measure, must be supported in the orbit of a sink. We then construct an example of a $C^1$-diffeomorphism having a Dirac invariant measure, supported on a hyperbolic fixed point of saddle type, whose statistical basin of attraction is a nowhere dense set with positive Lebesgue measure. Our technique can be applied also to construct a $C^1$ diffeomorphism whose set of points with historic behaviour has positive measure and is nowhere dense.
description: 63 pages, 26 figures. Final version, accepted in Journal of Dynamics and Differential Equations
Supernova implosion-explosion in the light of catastrophe theory
Creators: name: Chavanis, Pierre-Henri
name: Denet, Bruno
name: Berre, Martine Le
name: Pomeau, Yves
Publisher: name: arXiv
Year: 2019
Subjects: subject: Solar and Stellar Astrophysics (astro-ph.SR)
subject: High Energy Astrophysical Phenomena (astro-ph.HE)
subject: FOS: Physical sciences

description: The present understanding of supernova explosion of massive stars as a two-step process, with an initial gravitational collapse toward the center of the star followed by an expansion of matter after a bouncing on the core, meets several difficulties. We show that it is not the only possible one: a simple model based on fluid mechanics, catastrophe theory, and stability properties of the equilibrium state shows that one can have also a simultaneous inward/outward motion in the early stage of the instability of the supernova described by a dynamical saddle-center bifurcation. The existence of this simultaneous inward/outward motion is sensitive to the model in such systems with long-range interactions. If a constant temperature is assumed (canonical ensemble), an overall inward motion occurs, but if one imposes with the same equation of state the constraint of energy conservation (microcanonical ensemble) there is an inward velocity field near the center of the star together with an outward velocity field in the rest of the star. We discuss the expansion stage of the remnants away from the collapsed core, and propose a new explanation for the formation of shock waves in the ejecta which differs from the usual Sedov-Taylor self-similar description.
Implosion-explosion in supernovae
Creators: name: Chavanis, Pierre-Henri
name: Denet, Bruno
name: Berre, Martine Le
name: Pomeau, Yves
Publisher: name: arXiv
Year: 2019
Subjects: subject: Solar and Stellar Astrophysics (astro-ph.SR)
subject: High Energy Astrophysical Phenomena (astro-ph.HE)
subject: FOS: Physical sciences

description: Supernovae explosions of massive stars are nowadays believed to result from a two-step process, with an initial gravitational core collapse followed by an expansion of matter after a bouncing on the core. This scenario meets several difficulties. We show that it is not the only possible one: a simple model based on fluid mechanics and stability properties of the equilibrium state shows that one can have also a simultaneous inward/outward motion in the early stage of the instability of the supernova. This shows up in the slow sweeping across a saddle-center bifurcation found when considering equilibrium states associated to the constraint of energy conservation. We first discuss the weakly nonlinear regime in terms of a Painlevé I equation. We then show that the strongly nonlinear regime displays a self-similar behavior of the core collapse. Finally, the expansion of the remnants is revisited as an isentropic process leading to shocks formation.
description: arXiv admin note: substantial text overlap with arXiv:1909.03474
Projection effects on the observed angular spectrum of the astrophysical stochastic gravitational wave background
Creators: name: Bertacca, Daniele
name: Ricciardone, Angelo
name: Bellomo, Nicola
name: Jenkins, Alexander C.
name: Matarrese, Sabino
name: Raccanelli, Alvise
name: Regimbau, Tania
name: Sakellariadou, Mairi
Publisher: name: arXiv
Year: 2019
Subjects: subject: Cosmology and Nongalactic Astrophysics (astro-ph.CO)
subject: General Relativity and Quantum Cosmology (gr-qc)
subject: FOS: Physical sciences

description: The detection and characterization of the Stochastic Gravitational Wave Background (SGWB) is one of the main goals of Gravitational Wave (GW) experiments. The observed SGWB will be the combination of GWs from cosmological (as predicted by many models describing the physics of the early Universe) and astrophysical origins, which will arise from the superposition of GWs from unresolved sources whose signal is too faint to be detected. Therefore, it is important to have a proper modeling of the astrophysical SGWB (ASGWB) in order to disentangle the two signals; moreover, this will provide additional information on astrophysical properties of compact objects. Applying the Cosmic Rulers formalism, we compute the observed ASGWB angular power spectrum, hence using gauge invariant quantities, accounting for all effects intervening between the source and the observer. These are the so-called projection effects, which include Kaiser, Doppler and gravitational potentials effect. Our results show that these projection effects are the most important at the largest scales, and they contribute to up to tens of percent of the angular power spectrum amplitude, with the Kaiser term being the largest at all scales. While the exact impact of these results will depend on instrumental and astrophysical details, a precise theoretical modeling of the ASGWB will necessarily need to include all these projection effects.
description: 19 pages, 1 figure. Typos corrected; Minor corrections. Version accepted by Physical Review D
On equivariant dendriform algebras
Creators: name: Das, Apurba
name: Saha, Ripan
Publisher: name: arXiv
Year: 2019
Subjects: subject: Rings and Algebras (math.RA)
subject: FOS: Mathematics

description: Dendriform algebras are certain associative algebras whose product splits into two binary operations and the associativity splits into three new identities. In this paper, we study finite group actions on dendriform algebras. We define equivariant cohomology for dendriform algebras equipped with finite group actions similar to the Bredon cohomology for topological $G$-spaces. We show that equivariant cohomology of such dendriform algebras controls equivariant one-parameter formal deformations.
description: 15 pages
A quantitative description of skyrmions in ultrathin ferromagnetic films and rigidity of degree $\pm1$ harmonic maps from $\mathbb{R}^2$ to $\mathbb{S}^2$
Creators: name: Bernand-Mantel, Anne
name: Muratov, Cyrill B.
name: Simon, Theresa M.
Publisher: name: arXiv
Year: 2019
Subjects: subject: Analysis of PDEs (math.AP)
subject: Mesoscale and Nanoscale Physics (cond-mat.mes-hall)
subject: Mathematical Physics (math-ph)
subject: Pattern Formation and Solitons (nlin.PS)
subject: FOS: Mathematics
subject: FOS: Physical sciences

description: We characterize skyrmions in ultrathin ferromagnetic films as local minimizers of a reduced micromagnetic energy appropriate for quasi two-dimensional materials with perpendicular magnetic anisotropy and interfacial Dzyaloshinskii-Moriya interaction. The minimization is carried out in a suitable class of two-dimensional magnetization configurations that prevents the energy from going to negative infinity, while not imposing any restrictions on the spatial scale of the configuration. We first demonstrate existence of minimizers for an explicit range of the model parameters when the energy is dominated by the exchange energy. We then investigate the conformal limit, in which only the exchange energy survives and identify the asymptotic profiles of the skyrmions as degree 1 harmonic maps from the plane to the sphere, together with their radii, angles and energies. A byproduct of our analysis is a quantitative rigidity result for degree $\pm 1$ harmonic maps from the two-dimensional sphere to itself.
Global existence of finite energy weak solutions to the Quantum Navier-Stokes equations with non-trivial far-field behavior
Creators: name: Antonelli, Paolo
name: Hientzsch, Lars Eric
name: Spirito, Stefano
Publisher: name: arXiv
Year: 2020
Subjects: subject: Analysis of PDEs (math.AP)
subject: Mathematical Physics (math-ph)
subject: FOS: Mathematics
subject: FOS: Physical sciences
subject: 35Q35 (Primary) 35D05, 76N10 (Secondary)

description: We prove global existence of finite energy weak solutions to the quantum Navier-Stokes equations in the whole space with non trivial far-field condition in dimensions d = 2,3. The vacuum regions are included in the weak formulation of the equations. Our method consists in an invading domains approach. More precisely, by using a suitable truncation argument we construct a sequence of approximate solutions. The energy and the BD entropy bounds allow for the passage to the limit in the truncated formulation leading to a finite energy weak solution. Moreover, the result is also valid in the case of compressible Navier-Stokes equations with degenerate viscosity.