bluuebunny/crossref_metadata_2025_split huggingface dataset:
An integral operator related to the Stokes system in exterior domains
Authors: Deuring Paul 
Published: October 2005

AbstractConsider a bounded domain Ω in ℝ3 with C2‐boundary ∂Ω. In [1] the Stokes problem in the exterior domain ℝ3/Ω, with resolvent parameter [λϵℂ\] − [∞,0], is solved by using the method of integral equations. However, for estimating the corresponding solutions in Lp norms, it turns out that a certain operator defined on the spaces Lr(∂Ω)3, for r ϵ]1, ∞[, has to be evaluated in the norm of Lr(∂Ω)3. This estimate is proved in the present paper.
Higher moments for kinetic equations: The Vlasov–Poisson and Fokker–Planck cases
Authors: Perthame B. 
Published: October 2005

AbstractLet us consider a solution f(x,v,t)ϵL1(ℝ2N × [0,T]) of the kinetic equation
equation image
where |v|α+1 fo,|v|α ϵL1 (ℝ2N × [0, T]) for some α< 0. We prove that f has a higher moment than what is expected. Namely, for any bounded set Kx, we have
equation image
We use this result to improve the regularity of the local density ρ(x,t) = ∫ƒdν for the Vlasov–Poisson equation, which corresponds to g = Eƒ, where E is the force field created by the repartition ƒ itself. We also apply this to the Bhatnagar‐Gross‐;Krook model with an external force, and we prove that the solution of the Fokker‐Pianck equation with a source term in L2 belongs to L2([0, T]; H1/2(ℝ)).
On global solvability of non‐linear viscoelastic equations in the analytic category
Authors: D'Ancona Piero , Shibata Yoshihiro 
Published: October 2005

AbstractWe prove the global existence of analytic solutions to the non‐linear viscoelastic equations of the following type:

where ϕ and ψ are continuous and non‐negative functions satisfying some additional conditions. The method of the analytic energy estimates is used.
Spectral theory and L∞‐time decay estimates for Klein–Gordon equations on two half axes with transmission: The tunnel effect
Authors: Mehmeti Felix Ali 
Published: October 2005

AbstractConsider two copies N1, N2 of the interval [0, ∞]. Consider Klein‐Gordon equations with (different) constant coefficients on ℝ × Nj ( = time × space). Assume the coincidence of the values of the solution at the boundary points of the Nj for all times and a transmission condition relating its first (one‐sided) space derivatives at these points.Under a symmetry condition, we extend the spatial part of the equation and the transmission conditions to a self‐adjoint operator (by Friedrichs extension) and reformulate our problem in terms of an abstract wave equation in a suitable Hilbert space. We derive an expansion of the solution in generalized eigenfunctions of this self‐adjoint extension and show, that the L∞‐norms (in space) of the solution and its first k space derivatives at the time t decay for t → ∞ at least as const. t¼, if the initial conditions satisfy a compatibility condition of order k derived in this paper. The loss of decay rate in comparison with the full line case (const. t−½, cf. [28]) is caused by the tunnel effect.Further we show that an abstract wave equation in a Hilbert space with a Friedrichs extension as spatial part can always be derived from a stationarity principle for an associated action‐type functional. This yields a physical legitimation of our model by the principle of stationary action and moreover a criterion for the physical interpretability of all models created by the linear interaction concept [4, 6, 8, 10], in particular for the coupling of media of different dimension (alternative to [13, 16] for similar models).
On the initial value problem for the Vlasov‐Poisson‐Fokker‐Planck system with initial data in Lp spaces
Authors: Carrillo José A. , Soler Juan 
Published: October 2005

AbstractIn this paper the global existence of weak solutions for the Vlasov‐Poisson‐Fokker‐Planck equations in three dimensions is proved with an L1 ∩ Lp initial data. Also, the global existence of weak solutions in four dimensions with small initial data is studied. A convergence of the solutions is obtained to those built by E. Horst and R. Hunze when the Fokker‐Planck term vanishes. In order to obtain the a priori necessary estimates a sequence of approximate problems is introduced. This sequence is obtained starting from a non‐linear regulation of the problem together with a linearization via a time retarded mollification of the non‐linear term. The a priori bounds are reached by means of the control of the kinetic energy in the approximate sequence of problems. Then, the proof is completed obtaining the equicontinuity properties which allow to pass to the limit.
An explicit solution of the pseudo‐hyperbolic initial boundary value problem in a multiply connected region
Authors: Krutitskii Pavel A. 
Published: October 2005

AbstractAn explicit solution of the pseudo‐hyperbolic initial boundary value problem with a mixed boundary condition has been constructed. The problem describes the propagation of non‐stationary internal waves in a stratified and rotational fluid. The generation of waves is caused by small oscillations of double‐sided plates beginning at time t = 0. Dynamic pressure is specified on one set of plates and this yields the first boundary condition. Normal velocities are specified on another set of plates and this leads to an analogue of the second boundary condition with time derivatives. The solution has been obtained by the method of non‐classical time‐dependent dynamic potentials. The uniqueness of the solution has been studied.
Traces of Sobolev functions with one square integrable directional derivative
Authors: Gregoratti M. 
Published: September 2005

AbstractWe consider the Sobolev spaces of square integrable functions v, from ℝn or from one of its hyperquadrants Q, into a complex separable Hilbert space, with square integrable sum of derivatives ∑∂𝓁v. In these spaces we define closed trace operators on the boundaries ∂Q and on the hyperplanes {r𝓁 = z}, z ∈ ℝ\{0}, which turn out to be possibly unbounded with respect to the usual L2‐norm for the image. Therefore, we also introduce bigger trace spaces with weaker norms which allow to get bounded trace operators, and, even if these traces are not L2, we prove an integration by parts formula on each hyperquadrant Q. Then we discuss surjectivity of our trace operators and we establish the relation between the regularity properties of a function on ℝn and the regularity properties of its restrictions to the hyperquadrants Q. Copyright © 2005 John Wiley & Sons, Ltd.
Patterning by genetic networks
Authors: Genieys S. , Vakulenko S. 
Published: September 2005

AbstractWe consider here the morphogenesis (pattern formation) problem for some genetic network models. First, we show that any given spatio‐temporal pattern can be generated by a genetic network involving a sufficiently large number of genes. Moreover, patterning process can be performed by an effective algorithm. We also show that Turing's or Meinhardt's type reaction–diffusion models can be approximated by genetic networks.These results exploit the fundamental fact that the genes form functional units and are organized in blocks. Due to this modular organization, the genes always are capable to construct any new patterns and even any time sequences of new patterns from old patterns. Computer simulations illustrate some analytical results. Copyright © 2005 John Wiley & Sons, Ltd.
Markets for surplus components with a strategic supplier
Authors: Dong Lingxiu , Durbin Erik 
Published: September 2005

AbstractWe study markets for surplus components, which allow manufacturers with excess component inventory to sell to firms with a shortage. Recent developments in internet commerce have the potential to greatly increase the efficiency of such markets. We develop a one‐period model in which a monopolist supplier sells to a number of independent manufacturers who are uncertain about demand for final goods. After uncertainty is resolved, the manufacturers have the opportunity to trade. Because uncertainty is over demand functions, the model allows us to endogenize both the price of final goods and the price of components in wholesale and surplus markets. We derive conditions on demand uncertainty that determine whether a surplus market will increase or decrease supplier profits. Increased costs of transacting on the surplus market may benefit manufacturers, because of the impact of these costs on the supplier's pricing power. The surplus market can decrease overall efficiency of the supply chain, since the benefit of better allocation of components may be outweighed by an increased double‐marginalization effect. © 2005 Wiley Periodicals, Inc. Naval Research Logistics, 2005.
Large deflection analysis of elastic space membranes
Authors: Tsiatas G. C. , Katsikadelis J. T. 
Published: October 2005

AbstractIn this paper a solution to the problem of elastic space (initially non‐flat) membranes is presented. A new formulation of the governing differential equations is presented in terms of the displacements in the Cartesian co‐ordinates. The reference surface of the membrane is the minimal surface. The problem is solved by direct integration of the differential equations using the analogue equation method (AEM). According to this method the three coupled non‐linear partial differential equations with variable coefficients are replaced with three uncoupled equivalent linear flat membrane equations (Poisson's equations) subjected to unknown sources under the same boundary conditions. Subsequently, the unknown sources are established using a procedure based on the BEM. The displacements as well as the stress resultants are evaluated at any point of the membrane from their integral representations of the solution of the substitute problems, which are used as mathematical formulae. Several membranes are analysed which illustrate the method and demonstrate its efficiency and accuracy as compared with analytical and existing numerical methods. Copyright © 2005 John Wiley & Sons, Ltd.
Numerical experiments with the Bloch–Floquet approach in homogenization
Authors: Conca C. , Natesan S. , Vanninathan M. 
Published: October 2005

AbstractThis paper deals with a numerical study of classical homogenization of elliptic linear operators with periodic oscillating coefficients (period εY). The importance of such problems in engineering applications is quite well‐known. A method introduced by Conca and Vanninathan [SIAM J. Appl. Math.1997;57:1639–1659] based on Bloch waves that homogenize this kind of operators is used for the numerical approximation of their solutionuε. The novelty of their approach consists of using the spectral decomposition of the operator on ℝNto obtain a new approximation ofuε—the so‐called Bloch approximation θε—which provides an alternative to the classical two‐scale expansionuε(x)=u*(x)+Σεkuk(x,x/ε), and therefore, θεcontains implicitly at least the homogenized solutionu* and the first‐ and second‐order corrector terms.The Bloch approximation θεis obtained by computing, for every value of the Bloch variable η in the reciprocal cellY′ (Brillouin zone), the components ofu* on the first Bloch mode associated with the periodic structure of the medium. Though theoretical basis of the method already exists, there is no evidence of its numerical performance. The main goal of this paper is to report on some numerical experiments including a comparative study between both the classical and Bloch approaches. The important conclusion emerging from the numerical results states that θεis closer touε, i.e. is a better approximation ofuεthan the first‐ and second‐order corrector terms, specifically in the case of high‐contrast materials. Copyright © 2005 John Wiley & Sons, Ltd.
Delamination buckling of laminated plates
Authors: Mukherjee Yu Xie , Xie Zhicheng , Ingraffea Anthony R. 
Published: October 2005

AbstractThe subject of this paper is the buckling of laminated plates, with a pre‐existing delamination, subjected to in‐plane loading. Each laminate is modelled as an orthotropic Mindlin plate. The analysis is carried out by a combination of the finite element and asymptotic expansion methods. By applying the finite element method, plates with general delamination regions can be studied. The asymptotic expansion method reduces the number of unknown variables of the eigenvalue equation to that of the equation for a single Kirchhoff plate. Numerical results for the critical buckling load are presented for several examples. The effects of the shape, size and position of the delamination on the buckling load are studied through these examples.
Syntheses and nickel coordination properties of cyclen substituted with mixed stilbene/poly(ethylene glycol) dendritic arms
Authors: Weng Jian , Zhang Qiqing 
Published: September 2005

AbstractWe synthesized a series of cyclens substituted with mixed stilbene and poly(ethylene glycol) dendritic arms. All dendrimers terminated with different peripheral groups had good solubility in common organic solvents, and dendrimers terminated with CO2H groups (CO2H‐dendrimers) were also soluble in alkaline solutions. The nickel coordination properties of these dendrimers were investigated in organic solvents. Dendrimers terminated with CN groups (CN‐dendrimers) and the second‐generation CO2H‐dendrimer [(CO2H)8L2] could produce pentacoordinated nickel complexes; the third‐generation CO2H‐dendrimer [(CO2H)16L3] could form tetra‐ and pentacoordinated nickel complexes, and the nickel complex of the fourth‐generation CO2H‐dendrimer [(CO2H)32L4] could not be obtained. This result was due to the fact that the globular surface of (CO2H)16L3 formed a hydrogen‐bond network that selectively penetrated cations and inhibited the access of anions to the core. The formation of the hydrogen‐bond network was confirmed by Fourier transform infrared, 1H NMR, and fluorescence data. The CN‐dendrimers could not form hydrogen bonds on the surface, and the first‐ and second‐generation CO2H‐dendrimers could not form intramolecular hydrogen‐bond networks. Therefore, they had no selectivity for positive nickel ions and negative chloride ions. (CO2H)32L4 could not produce a nickel complex because it had a crammed backbone structure that could not penetrate nickel and chloride ions. Therefore, it was possible to control the ion access of cations and anions with the hydrogen‐bond network of (CO2H)16L3. © 2005 Wiley Periodicals, Inc. J Polym Sci Part A: Polym Chem 43: 5414–5428, 2005
Simultaneous construction of polymer backbone and side chains by three‐component polycondensation. Synthesis of polyethers with propargyl side chains from dialdehydes, alkylene bis(trimethylsilyl) ethers, and allenyltrimethylsilane
Authors: Niimi Lui , Hiraoka Shuichi , Yokozawa Tsutomu 
Published: September 2005

AbstractPolyethers with propargyl side chains were synthesized by the acid‐catalyzed reaction of dialdehydes 1, alkylene bis(trimethylsilyl) ethers 2, and allenyltrimethylsilane 4. When ethylene glycol bis(trimethylsilyl) ether was used as 2, only oligomer was obtained. However, the use of 2 with longer carbon chains gave the desired polyethers consisting of 1, 2, and 4 in the molar ratio 1:1:2 in good yields in the presence of 10 mol % triphenylmethyl perchlorate (TrClO4) at −20 °C. This polyether was treated with organometallic reagents such as Co complex or CuCl to give a cross‐linked polymer. This polymer synthesis is unusual in that it concurrently constructs both the polymer backbone and the functional side chains from three starting compounds. © 2005 Wiley Periodicals, Inc. J Polym Sci Part A: Polym Chem 43: 5440–5448, 2005
A Large‐sample Confidence Band for a Multi‐response Ridge Path
Authors: Ding Rui , Lin Dennis K. J. , Peterson John J. 
Published: September 2005

AbstractRidge analysis in response surface methodology has received extensive discussion in the literature, while little is known for ridge analysis in the multi‐response case. In this paper, the ridge path is investigated for multi‐response surfaces and a large‐sample simultaneous confidence interval (confidence band) for the ridge path is developed. Copyright © 2005 John Wiley & Sons, Ltd.
Optimum Accelerated Life Testing Plans Based on Proportional Mean Residual Life
Authors: Zhao Wenbiao , Elsayed Elsayed A. 
Published: September 2005

AbstractIn this paper, we present an efficient and practical approach for designing accelerated life testing (ALT) plans based on the proportional mean residual life (PMRL) regression model. The plans determine the appropriate levels for each stress type and the number of test units allocated to each level in order to obtain accurate mean residual life estimates at normal operating conditions. Unlike previous ALT plans, the proposed plans need not assume the life–stress relationship. A numerical example that demonstrates the design of such accelerated plans is presented. The proposed plans can also be applied in situations with more than a single accelerating stress without any difficulties. Copyright © 2005 John Wiley & Sons, Ltd.
A Method for Correlating Field Life Degradation with Reliability Prediction for Electronic Modules
Authors: Coit David W. , Evans John L. , Vogt Nathan T. , Thompson James R. 
Published: September 2005

AbstractA methodology was developed to correlate field life with observed degradation for electronics modules. This procedure was developed by identifying common deterioration characteristics in field units, modeling observed trends and then developing a model to predict future deterioration trends. This particular method focused on the deterioration of solder joint strength due to solder fatigue and comparing these values with a threshold based on known electrical failures. A conditional probability density function was formulated and quantified for both random shear strength and the minimum shear strength within a module. The conditional probability density function characterized both the changing mean and variance for a normally distributed random shear strength. With this methodology, time or mileage (life) prediction is based on the probability that the minimum performance response is less than a defined failure threshold. The methodology described herein promises to be an effective product development tool as the effect of design changes on product life can be more quickly and easily evaluated. While the technique developed herein is applicable to all electronic designs, the method was developed with a particular focus on understanding these relationships for automotive (harsh environment) applications. Copyright © 2005 John Wiley & Sons, Ltd.
Using Profile Monitoring Techniques for a Data‐rich Environment with Huge Sample Size
Authors: Wang Kaibo , Tsung Fugee 
Published: September 2005

AbstractIn‐process sensors with huge sample size are becoming popular in the modern manufacturing industry, due to the increasing complexity of processes and products and the availability of advanced sensing technology. Under such a data‐rich environment, a sample with huge size usually violates the assumption of homogeneity and degrades the detection performance of a conventional control chart. Instead of charting summary statistics such as the mean and standard deviation of observations that assume homogeneity within a sample, this paper proposes charting schemes based on the quantile–quantile (Q–Q) plot and profile monitoring techniques to improve the performance. Different monitoring schemes are studied based on various shift patterns in a huge sample and compared via simulation. Guidelines are provided for applying the proposed schemes to similar industrial applications in a data‐rich environment. Copyright © 2005 John Wiley & Sons, Ltd.
Studies of equilibrium geometries and electronic spectra for C78O4
Authors: Wu Shi , Teng Qiwen 
Published: September 2005

AbstractEquilibrium geometries and relative stabilities of 24 possible isomers for C78O4 based on C78 (C2v) were studied by intermediate neglect of differential overlap (INDO) calculations. It was indicated that the most stable geometry is 28,29,30,31,52,53,73,78‐C78O4, where three oxygen atoms are added to the same hexagon, through which the longest axis of C78 (C2v) goes, and the forth oxygen atom is added to the C(73)C(78) bond intersected by the shortest axis of C78 (C2v), and epoxide structures are formed. Electronic spectra of C78O4 isomers were investigated based on the optimized geometries. The blue shift of the first absorption for 28,29,30,31,52,53,73,78‐C78O4 compared with that of C78 (C2v) was rationalized and nature of transition for the peaks discussed. © 2005 Wiley Periodicals, Inc. Int J Quantum Chem, 2006
HF and MP2 calculations on CN−, N2, AlF, SiO, PN, SC, ClB, and P2 using correlated molecular wave functions
Authors: Muniz E. P. , Jorge F. E. 
Published: September 2005

AbstractContracted basis sets of double zeta valence quality plus polarization functions (DZP) and augmented DZP basis sets, which were recently constructed for the first‐ and second‐row atoms, are applied to study the electronic ground states of the diatomic molecules CN−, N2, AlF, SiO, PN, SC, ClB, and P2. At the Hartree–Fock (HF) and/or Møller–Plesset second‐order (MP2) levels, total and molecular orbital energies, dissociation energies, bond lengths, harmonic vibrational frequencies, and dipole moments are calculated and compared with available experimental data and with the results obtained from correlation consistent polarized valence basis sets of Dunning's group. For N2, calculations of polarizabilities at the HF and MP2 levels with the sets presented above are also done and compared with results reported in the literature. © 2005 Wiley Periodicals, Inc. Int J Quantum Chem, 2006
Probing the binding of ligands to estrogen receptor using an empirical system
Authors: Dottorini T. , Cozzini P. 
Published: September 2005

AbstractThe estrogen receptor (ER) is a ligand‐regulated transcription factor whose activity as an inducer or repressor of gene transcription depends on the nature of the ligand to which it is bound. The aim of this work is to evaluate the behavior of a set of compounds (antagonist molecules), using different docking experiments, in order to understand the relationship between ERα and such new ligands. With regard to the chemical properties of the ligands analyzed, we defined a specific guideline procedure designed for docking experiments. In our approach, we propose the use of the HINT scoring function in docking methodologies as a means of assessing the consistency of a docking solution, to discriminate correctly or near‐correctly docked orientations from incorrectly docked ones, thus compensating for the lack of experimental data. © 2005 Wiley Periodicals, Inc. Int J Quantum Chem, 2006
Computation of the eigenvalues of the one‐dimensional Schrödinger equation by symplectic methods
Authors: Kalogiratou Z. , Monovasilis Th. , Simos T. E. 
Published: September 2005

AbstractThe computation of high‐state eigenvalues of the one‐dimensional time‐independent Schrödinger equation is considered by symplectic integrators. The Schrödinger equation is first transformed into a Hamiltonian canonical equation. Yoshida‐type symplectic integrators are used as well as symplectic integrators based on the Magnus expansion. Numerical results are obtained for a wide range of eigenstates of the one‐dimensional harmonic oscillator, the doubly anharmonic oscillator, and the Morse potential. The eigenvalues found by the symplectic methods are compared with the eigenvalues produced by Numerov‐type methods. © 2005 Wiley Periodicals, Inc. Int J Quantum Chem, 2006