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Nonlinear Differential Equation Models

✍ Scribed by Bjârn Gustafsson, Makoto Sakai (auth.), Prof. Dr. Ansgar Jüngel, Prof. Dr. Raul Manasevich, Prof. Dr. Peter A. Markowich, Prof. Dr. Henrik Shahgholian (eds.)

Publisher
Springer-Verlag Wien
Year
2004
Tongue
English
Leaves
194
Edition
1
Category
Library
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✦ Synopsis

The papers in this book originate from lectures which were held at the "Vienna Workshop on Nonlinear Models and Analysis" – May 20–24, 2002. They represent a cross-section of the research field Applied Nonlinear Analysis with emphasis on free boundaries, fully nonlinear partial differential equations, variational methods, quasilinear partial differential equations and nonlinear kinetic models.

✦ Table of Contents

Front Matter....Pages i-vii
On the Curvature of the Free Boundary for the Obstacle Problem in Two Dimensions....Pages 1-5
Nonlinear Free Boundary Problems with Singular Source Terms....Pages 7-16
Behavior of the Free Boundary Near Contact Points with the Fixed Boundary for Nonlinear Elliptic Equations....Pages 17-25
Global Solutions of an Obstacle-Problem-Like Equation with Two Phases....Pages 27-34
Entropies and Equilibria of Many-Particle Systems: An Essay on Recent Research....Pages 35-43
On the Blow-Up Set For U t = (u m ) xx m> 1, with Nonlinear Boundary Conditions....Pages 45-56
A Phase Plane Analysis of the β€œMulti-Bubbling” Phenomenon in Some Slightly Supercritical Equations....Pages 57-79
The Dirichlet Problem for the Porous Medium Equation in Bounded Domains. Asymptotic Behavior....Pages 81-111
A Note on Deformations of 2D Fluid Motions Using 3D Born-Infeld Equations....Pages 113-122
Kinetic Models for Chemotaxis and their Drift-Diffusion Limits....Pages 123-141
Rotating Charge Coupled to the Maxwell Field: Scattering Theory and Adiabatic Limit....Pages 143-156
On Hyperbolic Variational Inequalities of First Order and Some Applications....Pages 157-177
Kinetic and Hydrodynamic Models of Nearly Elastic Granular Flows....Pages 179-192
Back Matter....Pages 195-199

✦ Subjects

Partial Differential Equations

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