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Author Bemelmans, Josef
Title Elliptic and Parabolic Problems : Rolduc and Gaeta 2001
Imprint Singapore : World Scientific Publishing Co Pte Ltd, 2002
book jacket
Descript 1 online resource (505 pages)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
Note Intro -- CONTENTS -- Preface -- 1. Rolduc -- Models for shape memory alloys described by subdifferentials of indicator functions -- Semilinear elliptic boundary value problems with critical Sobolev exponent -- Diffraction problems for quasilinear elliptic and parabolic systems -- Extremality and compactness results for elliptic hemivariational inequalities -- On an operator equation for Stokes boundary value problems -- Local stability under changes of boundary conditions at a far away location -- On some variational problems with an infinite number of wells -- Boltzmann Equation for Quantum Particles and Fokker Planck approximation -- Boundedness of global solutions of nonlinear parabolic equations -- Transmission problems for degenerate parabolic equations -- Existence of solutions of a segregation model arising in population dynamics -- The nonstationary Stokes and Navier-Stokes equations in aperture domains -- Global attractors for multivalued flows associated with subdifferentials -- Quasiconvex extreme points of convex sets -- The Richards equation for the modeling of a nuclear waste repository -- Trace identities and universal estimates for eigenvalues of linear pencils -- Universal estimates for the blow-up rate in a semilinear heat equation -- Asymptotic behavior of curves evolving by forced curvature flows -- Existence of non-steady flows of an incompressible, viscous drop of fluid in a frame rotating with finite angular velocity -- On a convection-diffusion equation with partial diffusivity -- Quasiconvexity and optimal design -- A regularity criterion for the angular velocity component in the case of axi-symmetric Navier-Stokes equations -- A comparison principle for the p-Laplacian -- Supercritical variational problems with unique critical points
Structure of the solution flow for steady-state problems of one-dimensional Frémond models of shape memory alloys -- Lagrangian coordinates in free boundary problems for multidimensional parabolic equations -- The Brézis-Nirenberg problem on Ĥn Existence and uniqueness of solutions -- Solvability of general elliptic problems in Hölder spaces -- 2. Gaeta -- Nonlinear diffusion in irregular domains -- Analysis of radiative transfer equation coupled with nonlinear heat conduction equation -- Viscosity Lyapunov functions for almost sure stability of degenerate diffusions -- Mass transport through charged membranes -- The Hopf solution of Hamilton-Jacobi equations -- Conservation of critical groups in a weaker topology for functionals associated with quasilinear elliptic equations -- Approximating exterior flows by flows on truncated exterior domains: piecewise polygonal artificial boundaries -- On the Stefan problem with surface tension -- Epidemic models with compartmental diffusion -- Algebraic multigrid for selected PDE systems -- Numerical computation of electromagnetic guided waves in a general perturbed stratified medium -- A non-stationary model for catalytic converters with cylindrical geometry -- Exact controllability of piezoelectric shells -- Optimal control approach for the fluid-structure interaction problems -- Hyperbolic propagation of singularities in a parabolic system of shell theory -- Singular perturbations going out of the energy space. Layers in elliptic and parabolic cases -- Regularity and uniqueness results for a phase change problem in binary alloys -- Bifurcation in population dynamics
This book provides an overview of the state of the art in important subjects, including - besides elliptic and parabolic issues - geometry, free boundary problems, fluid mechanics, evolution problems in general, calculus of variations, homogenization, control, modeling and numerical analysis. Contents: Rolduc: Models for Shape Memory Alloys Described by Subdifferentials of Indicator Functions (T Aiki & N Kenmochi); Local Stability Under Changes of Boundary Conditions at a Far Away Location (M Chipot & A Rougirel); Existence of Solutions of a Segregation Model Arising in Population Dynamics (G Galiano et al.); Global Attractors for Multivalued Flows Associated with Subdifferentials (N Kenmochi & N Yamazaki); Quasiconvexity and Optimal Design (P Pedregal); A Comparison Principle for the p -Laplacian (A Poliakovsky & I Shafrir); Gaeta: Nonlinear Diffusion in Irregular Domains (U G Abdulla); Viscosity Lyapunov Functions for Almost Sure Stability of Degenerate Diffusions (M Bardi & A Cesaroni); Approximating Exterior Flows by Flows on Truncated Exterior Domains: Piecewise Polygonal Artificial Boundaries (P Deuring); Epidemic Models with Compartmental Diffusion (W E Fitzgibbon et al.); Exact Controllability of Piezoelectric Shells (B Miara); Bifurcation in Population Dynamics (K Umezu); and other papers. Readership: Graduate students and researchers in the fields of partial differential equations and applied mathematics
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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2020. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries
Link Print version: Bemelmans, Josef Elliptic and Parabolic Problems : Rolduc and Gaeta 2001 Singapore : World Scientific Publishing Co Pte Ltd,c2002 9789812380456
Subject Differential equations, Elliptic -- Congresses.;Differential equations, Parabolic -- Congresses
Electronic books
Alt Author Brighi, Bernard
Brillard, Alain
Brillard, Alain
Chipot, Michel
Conrad, Francis
Shafrir, Itai
Valente, Vanda
Caffarelli, Giorgio Vergara
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