bluuebunny/crossref_metadata_2025 huggingface dataset:
Révolte, révolution, évolution. Notes sur les romans sociaux de Rosny aîné
Authors: Pottier Jean-Michel
Published: December 2024

Au tournant du XIXe siècle, Rosny aîné est un écrivain connu pour avoir participé au Manifeste des Cinq en 1887 et avoir écrit une série de romans marqués par l’évocation de la révolte, un thème souvent présent dans ses romans sociaux : Le Bilatéral, mœurs révolutionnaires en 1887, Les Âmes perdues en 1899, La Vague rouge, roman de mœurs syndicalistes en 1910. Derrière des intrigues « variables en intérêt », l’auteur s’attache à analyser ce qui fait débat en son temps : questions sociales, situations politiques. Les personnages qu’il met en scène dans ses récits se révoltent contre une situation personnelle. Ils s’opposent à certains aspects de la société et sont porteurs de message. Ils apparaissent aussi dans leur révolte, signe de leur liberté. Outre les romans, il y a de nombreuses préfaces qui introduisent les arguments de l’auteur et sa réflexion sur la révolte. Des préalables nécessaires à la révolte (humiliation et soumission) à la dimension politique et morale de celle-ci, les préfaces nourrissent un « discours d’escorte » sur la révolte. Ainsi romans et préfaces contribuent-ils à mettre au jour l’importance d’un motif donnant du sens à l’œuvre de Rosny aîné.
Le Désarroi de Remy de Gourmont : un roman en réaction ?
Authors: Gogibu Vincent
Published: December 2024

Le Désarroi, roman demeuré inédit du vivant de Remy de Gourmont, exprime une révolte propre à la fin du XIXe, teintée d’idéalisme, d’anarchie, d’individualisme nietzschéen et d’ésotérisme. Écrit entre 1894 et 1899, peu de temps après l’affaire soulevée par le « Joujou patriotisme », Le Désarroi est un roman écrit en réaction à plusieurs éléments. D’abord l’expression de la révolte, dans le sujet même, peut-être perçue telle l’expression d’une contestation par l’attentat anarchiste comme une justification de la violence. Puis, par ses caractéristiques éthiques, esthétiques et stylistiques, Le Désarroi apparaît tel un roman expérimental écrit en réaction au naturalisme de Zola et à l’écueil symboliste. La force du roman réside en ces différents niveaux de lecture qui lui confère une place à part dans l’œuvre de Gourmont et une place de choix dans l’étude de l’évolution du genre romanesque à cette période.
Teoretyczny model wykorzystania budżetu partycypacyjnego we wdrażaniu polityki środowiskowej i przeciwdziałaniu zmianom klimatu
Authors: Baranowski Jakub
Published: December 2024

Współczesne państwa mają obowiązek prowadzenia skutecznej polityki klimatycznej poprzez adaptację rozwiązań, które będą miały długofalowy i pozytywny wpływ na środowisko. Dotyczy to również porządku prawnego, który musi reagować na zmieniającą się rzeczywistość. Istotnym problemem badawczym podjętym w niniejszym opracowaniu jest pytanie, czy w polskim ustawodawstwie istnieje regulacja prawna umożliwiająca funkcjonowanie tzw. zielonego budżetu partycypacyjnego. Mając to na uwadze, przedstawiam następujące pytania badawcze: Czy budżet partycypacyjny jako narzędzie partycypacji społecznej może być podstawą skutecznego modelu angażowania mieszkańców w walkę ze zmianami klimatu? Czy polski system prawny przewiduje tworzenie budżetów partycypacyjnych związanych z klimatem? Czy polskie prawodawstwo potrzebuje nowej legislacji w zakresie tzw. zielonego budżetu partycypacyjnego, dzięki któremu powstawać będą wyłącznie projekty proklimatyczne? Udzielenie odpowiedzi na postawione pytania badawcze było możliwe dzięki przeprowadzonej analizie opartej na następującej metodzie badawczej – interpretacji obowiązującego prawa oraz analizie ewolucji prawa w czasie. Pozwoliło to na sformułowanie następujących wniosków: budżet partycypacyjny jest odpowiednią formą partycypacji społecznej, dzięki której mogą powstawać projekty proklimatyczne, zmieniające naszą rzeczywistość. Ponadto obecne regulacje prawne w polskim ustawodawstwie odnoszące się do budżetu partycypacyjnego należy określić jako ogólne, co na podstawie przeprowadzonej analizy uznano za niewystarczające i niedostosowane do obecnych realiów społecznych, których celem jest realizacja propozycji proklimatycznych. Niniejsze studium wieńczy konkluzja, iż polski ustawodawca musi interweniować i umożliwić obywatelom składanie takich projektów w ramach odrębnej procedury klimatycznego budżetu partycypacyjnego.
Obliczanie dochodu podatkowego przedsiębiorców – możliwe perspektywy i główne problemy implementacji koncepcji zgodności księgowo-podatkowej w polskim systemie
Authors: Supera-Markowska Maria
Published: December 2024

Koncepcja zgodności księgowo-podatkowej (book-tax conformity) oznacza, że rachunkowość finansowa jest autorytatywna dla celów podatkowych. Koncepcja ta jest stosowana w niektórych krajach, a w innych (w tym w Polsce) – nie. Obecnie, m.in. w związku z niektórymi projektami unijnymi i OECD, sytuacja ta najprawdopodobniej, przynajmniej w pewnym stopniu, będzie musiała ulec zmianie. W związku z tym w artykule przeanalizowano możliwe perspektywy i główne problemy implementacji koncepcji zgodności księgowo-podatkowej w polskim systemie.
Benedict XVI’s Interpretation of the Psalms
Authors: Węgrzyniak Wojciech
Published: December 2024

This article aims to analyze the way Pope Benedict XVI quotes and interprets biblical psalms. In the introductory section, the author presents statistics and the ways in which Benedict XVI quotes Book of Psalms, and then offers a general, introductory look at psalms and their analysis in papal catechesis. In subsequent sections of the article, the author focuses on the pope’s historical-critical exegesis and linguistic analyses of the psalms, followed by the pope’s Christological, ecclesiological, Mariological, and actualizing reading of the Psalms. In the concluding section, the author discusses the relationship of the psalms to prayer, the pope’s references to the Fathers of the Church and recalls Benedict XVI’s most personal statements on the Psalms.
Informe general de las elecciones: Panamá 2024
Authors: Alvarado de León Juan Diego
Published: December 2024

Las elecciones generales de Panamá celebradas el 5 de mayo de 2024 fueron significativas en la historia política del país no solo por los resultados que finalmente llevaron a la presidencia a José Raúl Mulino, sino también por el contexto complejo y de incertidumbre sin precedentes que dominaron los comicios. Estas elecciones fueron las séptimas desde el regreso de la democracia al país.
El reporte ofrece una visión detallada del entorno previo a la elección, temas de campaña, elecciones internas, dinámicas partidarias, resultados electorales y su impacto en la fragmentación partidaria en la Asamblea Nacional. También aborda el desempeño y distribución territorial de los partidos, niveles de participación y representación de mujeres. Finalmente, presenta recomendaciones para mejorar la gobernabilidad en Panamá en el próximo quinquenio.
Photoperiod effects on the growth stages of fall armyworm Spodoptera frugiperda (Lepidoptera: Noctuidae) under laboratory conditions
Authors: Putri Redwika Clarissa , Megasari Dita , Rahmadhini Noni
Published: December 2024

Spodoptera frugiperda, commonly known as the fall armyworm, is a pest that attacks maize plants in Indonesia. Light is one of the crucial factors in the development of S. frugiperda. This study aims to observe and analyze the effects of different light exposure (photoperiod) on the duration of larval instars, pupal stage, and imago, as well as the body length and weight of S. frugiperda. The expected benefit of this research is to provide insights into how light influences the developmental stages of S. frugiperda under laboratory conditions. The test insects, S. frugiperda, were obtained from Agricultural Standardization Testing Center - Sweetener and Fiber Crops (BSIP-TAS) and were reared from the first instar larval stage, with a total of 56 individuals fed with young maize cobs. S. frugiperda undergoes complete metamorphosis, passing through egg, larval, pupal, and imago stages. The treatment with no light and 24 hours of darkness (0L:24D) resulted in the shortest duration for the larval, pupal, and imago stages, averaging 27.42 days, compared to other treatments. On the other hand, the 24L:0D treatment significantly affected body length and weight, showing distinct differences from other treatments (L: light; D: dark). The effect of light, using 238.89 lux illumination, was found to influence the development of S. frugiperda at each developmental stage.
Synthesis of Formylphenyl 1-Oxo-1,2,3,6,7,7a-hexahydro-3a,6-epoxyisoindole-7-carboxylates and Their (E)-1,5-Dimethyl-3-oxo-2-phenyl-2,3-dihydro-1H-pyrazole-4-yliminomethyl Derivatives
Authors: Dikusar E. A. , Akishina E. A. , Zhukovskaya N. A. , Kolesnik I. A. , Margun E. N. , Kovalskaya S. S. , Alekseeva K. A. , Logvinenko N. A. , Menshikova D. I. , Grigoriev M. S. , Potkin V. I.
Published: December 2024

Formylphenyloxohydroepoxyisoindole carboxylates were prepared by the reaction of 4-hydroxy-3-methoxy-, 4-hydroxy-3-ethoxy- and 3-hydroxy-4-methoxybenzaldehydes with substituted isoindolecarboxylic acids {2-methyl-1-oxo-1,2,3,6,7,7a-hexahydro-3a,6-epoxyisoindole-7-carboxylic, 2-(3,4-dimethoxyphenethyl)1-oxo-1,2,3,6,7,7a-hexahydro-3a,6-epoxyisoindole-7-carboxylic, 2-(benzo[d][1,3]dioxol-5-ylmethyl)-1-oxo1,2,3,6,7,7a-hexahydro-3a,6-epoxyisoindole-7-carboxylic, 6-oxo-3,4,6,6a,7,8-hexahydro-2H,10bH-8,10a-epoxy[1,3]oxazino[2,3-a]isoindole-7-carboxylic, 2-(2,3-dichlorobenzyl)-1-oxo-1,2,3,6,7,7a-hexahydro-3a,6-epoxyisoindole-7-carboxylic} in dichloromethane in the presence of dicyclohexylcarbodiimide. The corresponding (E)-azomethines were synthesized by condensation of formylphenyloxohydroepoxyisoindole carboxylates with 4-amino-1,5-dimethyl-2-phenyl-1,2-dihydro-3H-pyrazol-3-one in methanol.
PUBLIC SPEAKING STRATEGIES: GUIDELINES FOR PROFESSIONAL COMMUNICATION IN THE SPHERE OF EDUCATION
Authors: FREYDINA E.L. , SEIRANYAN M.YU. , KOVPAK N.A.
Published: December 2024

This course is for those who want to acquire expertise in public speaking. The ability to stand up and speak out is an important aspect of effective cross-cultural communication. The course is designed to develop the key presentation strategies as well as language and communication skills. It covers all the fundamental components of public speaking and contains practical tips, extensive exercises, drills and practice material encouraging students to master the art of public presentation. Focus is given professional eloquence in the sphere of education.
Bibliometrics Analysis of AI Integration in Mathematics Teaching
Authors: Tupulu Nasri , Konstansia Hermiati  , Gusti Uripno  , Siti Suprihatiningsih  , Rangkuti Rizki Kurniawan
Published: December 2024

Studi literatur ini bertujuan untuk menganalisis tren penelitian dengan menggunakan analisis bibliometrik yang terkait dengan Kecerdasan Buatan (AI) dalam pengajaran matematika. Pentingnya AI dalam pengajaran matematika tidak sesuai dengan banyaknya penelitian tentang hal tersebut. Sehingga penelitian ini disusun dengan tujuan untuk mengidentifikasi penelitian berkaitan dengan integrasi AI dalam pengajaran matematika selama 10 tahun terakhir.  Kata kunci yang digunakan untuk mengumpulkan artikel adalah “artificial intelligence” dan “mathematics teaching” dan diperoleh 460 dokumen di database scopus. Penelitian ini dilakukan dengan membatasi jumlah dokumen tergantung pada tahun, bahasa, dan jenis artikel. Batas tahun pada tahun 2014 hingga 2024, bahasa dibatasi hanya bahasa Inggris, dan dokumen dibatasi hanya pada jenis artikel. Jumlah dokumen dalam dekade terakhir meningkat dari 6 dokumen menjadi 26 dokumen. Zhongda Sun, yang berkecimpung dalam kecerdasan komputer, adalah penulis yang paling banyak dikutip. Negara paling produktif adalah Tiongkok yang menyalip jumlah publikasi Australia pada tahun 2021. Kecerdasan buatan dalam pengajaran matematika populer dalam ilmu sosial dan ilmu komputer dengan topik yang paling populer adalah siswa, kecerdasan buatan, dan guru.
This literature study aims to analyze research trends by using bibliometrics analysis that related to Artificial Intelligence (AI) in mathematics teaching. The impact of AI in mathematics teaching did not match to the number of mathematics teaching research. So, this bibliometric study conducted in order to identify AI integration in mathematics teaching in last decade. Article gathered by two keywords, which are “artificial intelligence” and “mathematics teaching”and found 460 documents in scopus database. This study conducted by limiting the number of documents depend on years, language, and article type. The years limit in 2014 to 2024, languages limit to english only, and the documents limit to article type only. The number of documents in the last decade is increasing from 6 documents into 26 documents. Zhongda Sun, that concern in computer intelligence, is the most cited author. The most productive country was China that overtake Australia’s number of publications in 2021. Artificial intelligence in mathematics teaching was popular in social science and computer science and the most popular topics are students, artificial intelligence, and teacher.
The Representation of Moral Values in Grade 10 High School Mathematics Textbooks
Authors: Suherman Ade , Elsyifa Rachma Rianty
Published: December 2024

Studi terkini menggali representasi nilai-nilai moral dalam buku teks Matematika untuk Kelas 10 SMA, dengan menggunakan teknik analisis deskriptif kualitatif. Fokus utamanya adalah pada empat jenis gambar dalam konteks pembelajaran, yang bertujuan untuk melihat dampaknya terhadap pemahaman moral dan etis siswa. Gambar-gambar ini termasuk permainan Angry Birds yang berkaitan dengan vektor dan operasinya, balap karung dalam konteks persamaan dan pertidaksamaan linear, ilustrasi tentang Covid-19 dalam pembahasan peluang, serta gambar permainan dadu dalam konteks yang serupa. Survei mengindikasikan dampak yang beragam dari gambar-gambar tersebut, mulai dari peningkatan kesadaran tentang strategi dan pemecahan masalah hingga kemungkinan mengalihkan fokus siswa dari materi pokok. Hasil studi ini memberikan perspektif segar mengenai bagaimana materi visual dalam buku teks berkontribusi pada pemahaman moral siswa, sekaligus menyajikan rekomendasi tentang penyajian konten edukatif yang optimal dalam lingkup pendidikan matematika.
The current study explores the representation of moral values in Mathematics textbooks for Grade 10, using qualitative descriptive analysis techniques. The main focus was on four types of images in the learning context, aiming to see their impact on students' moral and ethical understanding. These images included an Angry Birds game related to vectors and their operations, a sack race in the context of linear equations and inequalities, an illustration of Covid-19 in the discussion of chance, as well as an image of a dice game in a similar context. Surveys indicated mixed impacts of the images, ranging from increased awareness of strategies and problem solving to the possibility of diverting students' focus from the subject matter. The results of this study provide a fresh perspective on how visual materials in textbooks contribute to students' moral understanding, while presenting recommendations on the optimal presentation of educational content within the scope of mathematics education.
Yazılım Geliştirme Öğreniminde Beceri Derinliği ve Dil Yeterliliğinin Yapay Zekâ ile Entegrasyonu
Authors: Yazar Selçuk , Demiralay Tülay , Demirhan Tolga
Published: December 2024

Üretici yapa zekâ modelleri günümüzde birçok alanda oldukça etkilidir. Yazılım geliştirme ve programlama alanında büyük bir etkiye sahip olduğu da son zamanlarda sıkça tartışılmaktadır. Bu çalışmada lisans ve ön lisans düzeyinde yazılım, bilgisayar ve programlama eğitimi alan bireyle gelişen ve hızla güçlenen bu teknoloji karşısındaki düşüncelerini öğrenmek amacıyla anket uygulanmıştır. Araştırmanın çalışma grubu, 2023-2024 eğitim-öğretim yılı bahar yarıyılında Trakya Üniversitesi Bilgisayar Mühendisliği (n=64), Bilgisayar Programcılığı (n=23), Web Tasarımı ve Kodlama (n=12) ve Kırklareli Üniversitesi Yazılım Mühendisliği (n=142) tüm sınıflar düzeyinde toplam 241 öğrenciden oluşmaktadır. Araştırma, nicel yaklaşımın kullanıldığı korelasyonel, kesitsel ve deneysel olmayan karma araştırma yöntemiyle anket uygulanarak yürütülmüştür. Anket soruları araştırmacılar tarafından hazırlanmıştır. Anket sonuçları literatürdeki benzer çalışmalarla karşılaştırılarak yazılım geliştirme/programla eğitimi ve iş gücüne yönelik bazı çıkarımlar tartışılmıştır. Katılımcıların görüşlerine göre, yazılım mühendisliği ve geliştirme alanında yapay zekâ uygulamalarının artan kullanımının gelecekteki profesyonel ihtiyaçları, iş güvenliğini ve kişisel gelişim gereksinimlerini önemli ölçüde etkileyeceği öne çıkmıştır. Ayrıca, yazılım ve uygulama geliştirme alanlarındaki yeteneklerin yanı sıra siber güvenliğin de önemli bir ilgi odağı olduğu tespit edilmiştir. Bu bağlamda yazılım geliştirme ve ilgili alanlarda öğrencilerin yeteneklerini ve yeterliliklerini artırmaya yönelik çeşitli öneriler sunulmuştur.
Semi‐classical limits in a crystal with a Coulombian self‐consistent potential: Effective mass theorems
Authors: Bechouche Philippe
Published: December 2024

We study the semi‐classical limit of the dynamics of electrons in a crystal under the influence of a self‐consistent Coulombian potential. To do this, we introduce two small parameters: $\varepsilon$ , the typical length of the crystal, and $h$ , the macroscopic Planck constant. When $\varepsilon$ and $h$ tend to zero, under special conditions, the electrons distribution limit follows a Vlasov equation where the electrons mass is replaced by an effective mass.
A shift between Dirichlet and Neumann spectrum for generalized linear elasticity
Authors: Anné Colette
Published: December 2024

We consider the equation of linear elasticity on a general Riemannian manifold with boundary, and prove a formula relating the counting functions of the Neumann and the Dirichlet problem to the counting function of the Dirichlet‐to‐Neumann operator. Namely, the difference of the two counting functions at $\alpha$ equals the number of negative eigenvalues of the Dirichlet‐to‐Neumann operator related to the resolvent at $\alpha$ .

We then apply this formula to bounded domains of Riemannian symmetric spaces of non‐compact type in the homogeneous case of elasticity (i.e., when the Lamé functions $\lambda$ , $\mu$ are constant). The conclusion is that the difference of the two counting functions is greater or equal to 1 under one of the following hypothesis: either the rank of the symmetric space is greater or equal to 2, or the rank is 1 but the dimension of the nilpotent part is smaller than ${8\mu}/({\lambda+2\mu})$ .

The Euclidean space is an example of the first case, but even in that situation the conclusion we draw is new.
A uniqueness result for a semilinear elliptic equation involving the critical Sobolev exponent in symmetric domains
Authors: Cerqueti Katiuscia
Published: December 2024

We consider the problem [Formula: see text] where $\varOmega$ is a bounded smooth domain of $ \mathbf{R}^N \ (N \geq 5)$ which is symmetric with respect to the coordinate hyperplanes $\{x_i = 0\}$ , $i = 1, \ldots, N ,$ and it is convex in the $x_i$ ‐directions for $i = 1, \ldots, N$ ; here $0 < \varepsilon < \lambda_1$ ( $\lambda_1 $ being the first eigenvalue of the Laplace operator in $ H_0^1 (\varOmega)$ ) and $p = ({N+2})/({N-2})$ . For $ \varepsilon $ small, we prove uniqueness and nondegeneracy of the solution $ u_\varepsilon $ with the property that [Formula: see text] where $S_N$ is the best Sobolev constant in $ \mathbf{R}^N$ .
Convergence to systems of waves for viscous scalar conservation laws
Authors: Mejai Maher , Volpert Vitaly
Published: December 2024

We study the large time asymptotic behavior of solutions of the Cauchy problem for the viscous scalar conservation laws. If there exists a travelling wave solution, then it is well known that solutions of the Cauchy problem converge to it. In the case where a wave does not exist we introduce a notion of system of waves, which is a set of waves propagating with different velocities. We show that solutions of the Cauchy problem converge to the system of waves.
Semiclassical eigenvalue asymptotics for a Schrödinger operator with a degenerate potential
Authors: Morame Abderemane , Truc Françoise
Published: December 2024

We give the asymptotic behaviour, when $h$ tends to zero, of the number of eigenvalues less then a fixed energy $\lambda$ , of the Schrödinger operator ${\widehat{H}_h}=-h^2\Delta + f(x)g(y),\ (x,y)\in \mathbf{R}^d=\mathbf{R}^n\times \mathbf{R}^m$ . $f$ and $g$ are continuous and positive functions tending to infinity at infinity, $g(y)$ is homogeneous and $f(x)>0$ .
Spectrum of elliptic operators and stability of travelling waves
Authors: Volpert A.I. , Volpert V.A.
Published: December 2024

Location of the discrete and continuous spectrum of the operator corresponding to a boundary value problem for an elliptic system of equations in an unbounded cylinder is studied. Stability of multi‐dimensional travelling waves with respect to small perturbations is proved. These results allow us to prove global stability of travelling waves, i.e., that they describe large time asymptotic of solutions of the initial‐boundary value problem for a class of initial conditions, and to obtain a minimax representation for the wave velocity.
Scaled Korn–Poincaré inequality in BD and a model of elastic plastic cantilever
Authors: Percivale Danilo , Tomarelli Franco
Published: December 2024

The optimal asymptotic behaviour of the Korn–Poincaré inequality constant due to anysotropic shrinking of the open set is proved together with a description of an elastic‐perfectly plastic cantilever as a variational limit of an elastic micro‐fractured 2D‐body.
Initiation of subsonic detonation
Authors: Brezis H. , Kamin S. , Sivashinsky G.
Published: December 2024

The long‐time behavior of the solution of the system $\theta_\tau - \alpha \pi_\tau = \varOmega (\theta)$ , $\pi_\tau - \theta_\tau = \pi_{\xi\xi}$ is investigated. Such a system is related to the modeling of detonation waves subjected to strong hydraulic resistance. We establish that some initial conditions yield decay (failure of ignition) while for other initial conditions our results strongly suggest convergence to traveling waves (successful ignition).
Convergence of the solutions of nonlinear obstacle problems with L1‐data
Authors: Cirmi G.R.
Published: December 2024

This paper deals with the continuos dependence with respect to the obstacle of the solutions of obstacle problems with L1(Ω)‐ data associated to non linear differential operators of Leray–Lions type mapping W1,p0(Ω) into its dual W−1,p′(Ω).
Homogenization of unbounded functionals and nonlinear elastomers. The general case
Authors: Carbone L. , Cioranescu D. , De Arcangelis R. , Gaudiello A.
Published: December 2024

The homogenization process for some energies of integral type arising in the modelling of rubber‐like elastomers is carried out. The main feature of the variational problems taken into account is that pointwise oscillating constraints on the admissible deformations, determined by general, not necessarily bounded, constraint sets are involved. The classical homogenization result is established also in this framework, both for Dirichlet with affine boundary data, Neumann, and mixed problems, by proving that the limit energy is again of integral type, gradient constrained, and with an explicitly computed homogeneous density. Some explicit computations for the homogenized integrands relative to energy densities coming from models in literature are also discussed.

Résumé. Le but de ce travail est d'étudier l'homogénéisation d'une classe d'énergies définies par une intégrale et intervenant dans la modélisation du caoutchouc. La principale caractéristique des problémes variationnels attachés à ces énergies est le fait que le gradient des déformations admissibles est soumis à des contraintes ponctuelles oscillantes (non nécessairement bornées). Nous prouvons des résultats d'homogénéisation pour différentes conditions aux limites (de Dirichlet affines, de Neumann et mixtes) et montrons que l'énergie limite est encore du type intégral avec une densité calculée explicitement, en ayant toujours des contraintes sur le gradient. Enfin, un calcul explicite donne l'intégrand homogénéisé pour quelques énergies relatives à la modélisation du caoutchouc.
T‐minima: some remarks about existence, uniqueness and stability results
Authors: Leone Chiara
Published: December 2024

We deal with minima for convex functionals of the calculus of variations when the forcing term is a function of L1(Ω), exhibiting a notion of minimum equivalent to that one given in [2]. This new formulation allows us to make easier the proofs of existence and uniqueness results already obtained in [2]. Moreover with this alternative definition we prove that minima are stable if we perturb the functionals under the notion of Γ‐convergence.
A note on the existence and uniqueness of plane steady viscous flow in exterior domains
Authors: Tachim Medjo T.
Published: December 2024

In this article we study the existence and uniqueness of solutions of the stationary Navier–Stokes equations in two‐dimensional exterior domains. Using well‐known Lq‐estimates for the Oseen problems and an iterative process based on repeated resolution of Oseen problems, we prove the existence and uniqueness of solutions of the Navier–Stokes equations in two‐dimensional exterior domains. Our results give another answer to a question recently raised in [2,3] concerning the summability with exponent p∈(1,2) of the gradient of the velocity of stationary plane flow of a viscous fluid in exterior domains.
Asymptotic analysis of conductive‐radiative heat transfer
Authors: Laitinen Mika T.
Published: December 2024

In highly absorptive semitransparent material, conductive‐radiative heat transfer is often approximated by either diffusion approximation or Stefan–Boltzmann boundary condition. Using singular perturbations and boundary layer analysis, we derive rigorously these two approximations from the radiative transport equation. We prove error estimates for temperature and propose a variant of diffusion approximation which effectively describes the boundary layer behavior. To obtain these estimates, we prove stability and boundedness of solutions for conductive‐radiative heat equation independently of the radiation parameters.
Quasimodes with exponentially small errors associated with elliptic periodic rays
Authors: Cardoso Fernando , Popov Georgi
Published: December 2024

The aim of this paper is to construct compactly supported Gevrey quasimodes with exponentially small discrepancy for the Laplace operator with Dirichlet boundary conditions in a domain X with analytic boundary. The quasimodes are associated with a nondegenerate elliptic closed broken geodesic γ in X. We find a Cantor family Λ of invariant tori of the corresponding Poincaré map which is Gevrey smooth with respect to the transversal variables (the frequencies). Quantizing the Gevrey family Λ, we construct quasimodes with exponentially small discrepancy. As a consequence, we obtain a large amount of resonances exponentially close to the real axis for suitable compact obstacles.
Diffusion approximation of a Knudsen gas model: dependence of the diffusion constant upon the boundary condition
Authors: Boatto Stefanella , Golse François
Published: December 2024

In this article we study a model for the dynamics of particles moving freely between two horizontal plates. Our goal is to characterize the diffusive behavior for such systems in the long‐time and large (horizontal) scale limits. Using homogenization techniques for PDEs, we obtain a diffusion equation as a limit of the original kinetic equation, appropriately scaled. This limiting diffusion can be understood intuitively by observing that in the limit of long times and vanishing vertical distance between the plates, for a given particle, the mean free path between two successive reflections at the plates also vanishes, and therefore the number of reflections grows unboundedly with the length of the time interval. The nature of a particular reflection law then efficiently randomizes the particle motion. More specifically, we study the dependence of the diffusion constant Dα on mixed boundary conditions: the case of specular reflection (based on the “Arnold cat map”) with an isotropic component (i.e., with small “accommodation” coefficient α). We find that the diffusion tensor Dα is positive definite for every α∈(0,1]. Furthermore, in the limit of vanishing isotropic component (α→0), we recover the result of Bardos, Golse and Colonna [Physica D, 104 (1997), 32–60].
Two‐dimensional models for geometrically nonlinear thin piezoelectric shells
Authors: Collard Christophe , Miara Bernadette
Published: December 2024

In this paper, we apply the asymptotic analysis to thin piezoelectric shells in the framework of geometrically exact formulation. The formal mathematical approach used here is based neither on geometrical nor on mechanical assumptions and rigorously justifies the limiting constitutive nonlinear two‐dimensional equations. More precisely, we formally obtain two‐dimensional membrane and flexural models written on the middle surface of the shell. We show that the coupling between the limit displacement field and the limit electric potential inherent to piezoelectricity appears in the membrane model but not in the flexural model. Finally, we suggest a “full” new model for piezoelectric shells using membrane and flexural effects.
Justification of the dynamic model of curved rods
Authors: Tambača Josip
Published: December 2024

In this work the asymptotic behaviour of the solution of the evolution problem of three‐dimensional linearized elastic curved rod‐like bodies with respect to the small thickness ε of the rod is analyzed. It is found that, when ε tends to zero, the solution converges, in an appropriate sense, to a single space‐variable function being an inextensible displacement. Together with an additional function, describing the rotation angle of the cross‐sections, it is identified as the unique solution of the one‐dimensional evolution problem of curved rods, posed on the middle curve of the rod. The differential equations of the model are obtained.
Rigorous derivation of the nonlinear Schrödinger equation and Davey–Stewartson systems from quadratic hyperbolic systems
Authors: Colin Thierry
Published: December 2024

In this paper, we derive rigorously the nonlinear Schrödinger equation and Davey–Stewartson systems from quadratic hyperbolic systems using nonlinear diffractive geometric optics. We construct approximate solutions and prove the convergence of the asymptotic expansion. The keys of this work is to consider only systems of a particular form introduced in [20], which include Maxwell–Bloch system, and which satisfy a “transparency” hypothesis.
Asymptotic formulas for perturbations in the eigenfrequencies of the full Maxwell equations due to the presence of imperfections of small diameter
Authors: Ammari Habib , Volkov Darko
Published: December 2024

We consider electromagnetic media that consist of a homogeneous (constant coefficient) electromagnetic material with a finite number of small dielectric imperfections. For such media, we provide a rigorous derivation of asymptotic formulas for perturbations in the eigenfrequencies of the full Maxwell equations caused by the presence of the dielectric imperfections.
On the lack of observability for wave equations: a Gaussian beam approach
Authors: Macià Fabricio , Zuazua Enrique
Published: December 2024

This paper is devoted to study the property of observability for wave equations guaranteeing that the total energy of solutions may be estimated by means of the energy concentrated on a subset of the domain or of the boundary. We prove that this property fails in three different situations. First, we consider the wave equation with piecewise smooth coefficients when the observation is made in the exterior boundary. We also present a wave equation with highly oscillating Hölder continuous coefficients for which observability fails from any open set that does not contain the origin. Finally, lack of observability is proved for the constant coefficient wave equation when the observation is made from an interior hypersurface. All the counterexamples presented here are constructed using highly localized solutions known as Gaussian beams.
Torsion problem in multiconnected reinforced structures
Authors: Mossino Jacqueline , Vanninathan Muthusamy
Published: December 2024

This work considers a reinforcement of a multiconnected domain representing the cross section of a cylindrical bar. The model studied in this paper is motivated from the classical problem of elastic torsion of such a structure. The stress potential is assumed to satisfy an equation involving p‐Laplacian in the interior. Dirichlet boundary condition is imposed on the outer boundary. We seek the potential in the space of functions with trace being an unknown constant on the inner boundary. Consequently, there is an induced natural condition involving the integral of its conormal derivative on the inner boundary. We assume that the reinforcement is nonhomogeneous, periodically oscillating and has small thickness which is of the same order as the period. We describe its limiting behaviour as the period goes to zero. The limit problem has certain new features which are pointed out.
Eigenfrequencies for damped wave equations on Zoll manifolds
Authors: Hitrik Michael
Published: December 2024

The eigenfrequencies associated to a damped wave equation are known to belong to a band parallel to the real axis. Under the assumption of periodicity of the geodesic flow we study the asymptotic distribution of the eigenfrequencies in the band. We show that the set of eigenfrequencies exhibits a cluster structure determined by the Morse index of the closed geodesics and the damping coefficient averaged along the geodesic flow. The asymptotics for the multiplicities of the clusters are also obtained.
A homogenization problem in a perforated domain with both Dirichlet and Neumann conditions on the boundary of the holes
Authors: Esposito Antonio Corbo , D'Apice Ciro , Gaudiello Antonio
Published: December 2024

We present an interference phenomenon in the homogenization of the Poisson equation when nonhomogeneous Neumann condition is imposed on part of the boundary of the holes and Dirichlet condition is imposed on the remaining part.
Asymptotic analysis for the regularised minimal surface problem in the radially symmetric case
Authors: Hamouda Makram
Published: December 2024

In this article, we derive the first term in the asymptotic expansion of the regularised minimal surface solution in the radially symmetric case when the domain is a pair of concentric circles in R2. General domains and time‐dependent problems will be considered elsewhere.
On Carleman estimates for hyperbolic equations
Authors: Imanuvilov Oleg Yu.
Published: December 2024

We prove a Carleman inequality for the second order hyperbolic equation in the cylinder Q with the norm of right‐hand side taken in the space (W12(Q))*.
Traces formulae for relatively Hilbert–Schmidt perturbations
Authors: Bouclet Jean‐Marc
Published: December 2024

The main goal of this paper is to introduce tools able to replace Krein's spectral shift function when it cannot be defined. We introduce a function η, for a class of perturbations of pseudodifferential operators on $\mathbb{R}$ d, when these perturbation decay as 〈x〉−ρ, ρ>d/2, at infinity. In Euclidean scattering, we establish a complete asymptotic expansion for η, under the usual nontrapping assumption and we deduce a Levinson formula for the Schrödinger operator on $\mathbb{R}$ 3. Some results on the general case ρ>0 are also given.
Mathematical study of the equation describing the evolution of the surface of a film
Authors: Lods V. , Piétrus A. , Rakotoson J.M.
Published: December 2024

We consider a crystal constituted by an elastic substrate and a film with a small thickness. This crystal being constrained, it appears morphological instabilities.

We are interested in the evolution of the free boundary of the film, which is parametrized by a function denoted by f. The three‐dimensional model here considered is detailed in [8]. This model consists in solving a coupled system of partial derivative equations. The first equations are the linearized elasticity equations posed in the solid, the boundary of which depends on the evolution surface. The second equation is the evolution equation, depending on the elastic displacement. This model is first classically simplified in order to obtain a two‐dimensional model by assuming that the crystal is infinite in one dimension. Besides, under some hypotheses, we derive a wide class of models which the unknown is the map of the film–vapor surface and solves a nonlinear partial derivatives equation, which is independent of the displacement of the solid. Some of those models might blow up in finite time as the physicists expect.

In this paper, we study the existence and uniqueness of solution of this model, by constructing approximated problems under very weak assumptions. To this end, we assume that the initial map of the free boundary is small enough in an appropriate space.
Modelling of piezoelectric plates including magnetic effects
Authors: Raoult Annie , Sène Abdou
Published: December 2024

In a previous paper the second author studied the modelling of piezoelectric static thin plates. The present work is concerned with the dynamical case. Magnetic effects are taken into account and we deal with the complete system of Maxwell equations. Moreover, we give an analysis for both an insulated plate and a plate submitted to a difference of potential. These two cases give rise to different behaviours.
On finite closures of homogenized solutions of nonlinear hyperbolic equations
Authors: Tassa Tamir
Published: December 2024

We study nonlinear equations subject to oscillatory initial data. The oscillatory solution of such problems tends to a homogenized weak limit that is characterized by the corresponding homogenized equations. Those equations usually involve an additional independent variable, so that the weak limit is an average of infinitely many functions. In certain cases, however, there is an alternative description to the weak limit via a closed finite system of equations that the weak limit and some of its moments satisfy. We study the question of an existence of such finite closures in the context of semilinear Boltzmann type equations and the quasilinear Euler equations and show that, in most cases, finite closures do not exist.
Macroscopic model for coupled surface and volume collisions in semiconductor superlattices
Authors: Mellet A.
Published: December 2024

This paper follows [7], by N. Ben Abdallah, P. Degond, F. Poupaud and the author, in which a diffusion model for semiconductor superlattices was derived. At the starting point of our study, the device consists of a periodic array of localized scatters (the heterojunction between two semiconductor materials), and electron motion is described by the Boltzmann equation. Assuming that both the collisions and the scattering processes preserve the energy of the particles, we prove the convergence of the electron distribution function to the solution of the SHE model equation (for Spherical Harmonics Expansion). Since the device has microscopic periodicity, the proof relies on the recently developed tool of two‐scale convergence.
A priori estimates for an elliptic equation with exponential nonlinearity
Authors: Bartolucci D.
Published: December 2024

We establish compactness and existence results for the following class of nonlinear elliptic problems: −Δu=K(x) eu in Ω, with ∫ΩK(x) eu=λ, where Ω is a smooth two‐dimensional bounded domain with nontrivial topology and K(x)= $\prod_{j=1}^{m}$ |x−xj|2αj eσ(x) is a nonnegative function which admits a zero at the point xj∈Ω with multiplicity αj∈(0,1), for j=1,…,m. We consider the case where λ∈(8π,min j=1,…,m4π(3−αj))\{8π(1+αj)}j=1,…,m and extend the work of Struwe and Tarantello [34] and Ding et al. [12].
Blowup rate of solutions for a semilinear heat equation with the Dirichlet boundary condition
Authors: Mizoguchi Noriko
Published: December 2024

Let p>1 and Ω be a smoothly bounded domain in RN not necessarily convex. This paper is concerned with a Cauchy–Dirichlet problem [Formula: see text] We show that when u blows up at t=T, it holds

|u(t)|∞≤C(T−t)−1/(p−1) in (0,T)

with some C>0 under some condition on the Cauchy problem for (P).
Resonances associated to a closed hyperbolic trajectory in dimension 2
Authors: Sjöstrand Johannes
Published: December 2024

We consider resonances in the semi‐classical limit (h→0), generated by a single closed hyperbolic orbit, for an operator on R2. We determine all such resonances in an h‐independent domain. As an application we determine all resonances generated by a saddle point in a fixed disc around the critical energy.

Résumé. Nous considérons les résonances engendrées par une trajectoire fermée hyperbolique pour un opérateur sur R2 dans la limite semi‐classique (h→0). Nous déterminons toutes les résonances dans un domaine indépendant de h. Comme une application nous obtenons toutes les résonances engendrées par un point selle, dans un disque fixé autour de l'énérgie critique.
An analytical approach to convective reaction fronts
Authors: Vakulenko S.A.
Published: December 2024

The paper is devoted to localized reaction fronts in a viscous fluid. A rigorous analytical theory describing small front deformations is suggested, and the dependence of the front orientation on the gravity force is studied. Estimates for perturbation of the front velocity are given. The critical Rayleigh number when the convective instability appears is found.
Stable Dirichlet observability and controllability for the evolution isotropic Lame system with variable coefficients
Authors: Łada Andrzej , Sidz Leszek
Published: December 2024

The stable Dirichlet observability and exact controllability from boundary for evolution, variable coefficients Lamé system is stated. The observability is proved first for a special sequence of solutions by the use of semiclassical measure analysis. Then one concept coming from G. Lebeau is applied. The controllability is achieved by the use of H.U.M.
On a semilinear parabolic system of reaction–diffusion with absorption
Authors: Bidaut‐Véron Marie‐Françoise , García‐Huidobro Marta , Yarur Cecilia
Published: December 2024

We consider the semilinear parabolic system with absorption terms in a bounded domain Ω of $\mathbb{R}^{N}$ [Formula: see text] where p,q>0 and k,ℓ≥0, with Dirichlet or Neuman conditions on $\curpartial\varOmega\times(0,\infty)$ . We study the existence and uniqueness of the Cauchy problem when the initial data are L1 functions or bounded measures. We find invariant regions when u0, v0 are nonnegative, and give sufficient conditions for positivity or extinction in finite time.
The creeping motion of a small rigid particle near a smooth boundary
Authors: Almog Y.
Published: December 2024

The creeping motion of a Newtonian fluid around a particle in a smooth domain is studied. It is proved that the force distribution on the surface of the particle can be approximated, in the limit where the ratio between particle size and the domain's radius of curvature tends to zero, by the force distribution on the same particle near a flat wall. This result is then utilized to show that the velocities of the particle in mobility problems, or the forces acting on it in resistance problems can be approximated by replacing the domain with a flat wall.
Boundary Decomposition for Helmholtz and Maxwell equations 1: disjoint sub‐scatterers
Authors: Balabane Mikhael
Published: December 2024

In order to compute solutions of the Helmholtz or the Maxwell equations, in the complementary set in $\mathbb{R}$ 3 of a scatterer, one use usually a Domain Decomposition technique when the scatterer is huge. In this paper, we give an alternative to this technique, that we call Boundary Decomposition. We decompose the scatterer itself, into sub‐scatterers, and give the solution as a sum of contributions of each sub‐scatterer. From this point of view, it is an homological type decomposition. It is given here for disjoint sub‐scatterers, and the equations are solved in the frequency domain. Each contribution of a sub‐scaterer is computed as a sum of a series: an algorithm of Jacobi type is given and prove to converge. The theoretical results needed are set and the proofs for convergence of the algorithm are given. Note that the algorithm does not rely on properties of any specific numerical method for solving the equations. It only relies on properties of the equation itself. So at each step, one can use a specific solver adapted to the geometry of the sub‐scatterer dealt with at that step. This algorithm fits distributed computations. It is now in use in industrial CAD, namely at Aerospatiale‐EADS France.1
The high field asymptotics for degenerate semiconductors: Initial and boundary layer analysis
Authors: Ben Abdallah Naoufel , Chaker Hédia
Published: December 2024

In a previous paper (Math. Methods Models Appl. Sci. 11 (2001), 1253–1272), the high field limit for degenerate semiconductors is analyzed by the authors. The scope of the present paper is the extention of this analysis to boundary value problems. The initial layer, modeled by a homogeneous Boltzmann equation with a frozen electric field provides an initial condition for the high field solution. The boundary layers, analyzed by means of Milne problems, are shown to provide boundary condition for the limit equation on that part of the boundary corresponding to an inflowing flux, while they connect the fluid and kinetic data on the outgoing part of the boundary. Under some monotonicity assumptions on the high field solution (which are satisfied at least for low densities), the asymptotic behaviour of the Milne problem is exhibited. These results are used to provide an error estimate for the high field asymptotics.
Semilinear elliptic problems in unbounded domains with unbounded boundary
Authors: Molle Riccardo
Published: December 2024

This paper deals with a class of singularly perturbed nonlinear elliptic problems (Pε) with subcritical nonlinearity. The coefficient of the linear part is assumed to concentrate in a point of the domain, as ε→0, and the domain is supposed to be unbounded and with unbounded boundary. Domains that enlarge at infinity, and whose boundary flattens or shrinks at infinity, are considered. It is proved that in such domains problem (Pε) has at least 2 solutions.
Bloch wave homogenization of scalar elliptic operators
Authors: Ganesh S. Sivaji , Vanninathan M.
Published: December 2024

Periodic homogenization result for selfadjoint operators via Bloch wave method was obtained by Conca and Vanninathan in [12]. Even though the spectral tools used in [12] are not available in non‐selfadjoint case, it is possible to recover the complete homogenization result of Murat and Tartar in the periodic case through the Bloch wave method. A dominant Bloch mode is introduced and plays the key role in the homogenization process. It is also established that the remainder does not contribute in the homogenization process. This requires separation of scales between the dominant Bloch mode and the rest. This separation is proved via a Poincaré‐type inequality. Further, the proof of homogenization theorem of [12] is simplified.
H0‐convergence and iterated homogenization
Authors: Damlamian A. , Donato P.
Published: December 2024

In this paper we give a general iterative method for the homogenization of elliptic problems in perforated domains with finitely many periodic scales. It is derived from a more general result, where only one (the biggest) scale is assumed to be ε‐periodic. For the smaller scales, only H0‐convergence is assumed. In the case of finitely many periodic scales, explicit formulas for the homogenized operators are obtained.