Nonlinear Differential Equation Models

1. Front Matter

   Pages i-vii

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2. On the Curvature of the Free Boundary for the Obstacle Problem in Two Dimensions

   • Björn Gustafsson, Makoto Sakai

   Pages 1-5

3. Nonlinear Free Boundary Problems with Singular Source Terms

   • A. Hakobyan, A. Karakhanyan

   Pages 7-16

4. Behavior of the Free Boundary Near Contact Points with the Fixed Boundary for Nonlinear Elliptic Equations

   • Norayr Matevosyan, Peter A. Markowich

   Pages 17-25

5. Global Solutions of an Obstacle-Problem-Like Equation with Two Phases

   • Henrik Shahgholian, Nina Uraltseva, Georg S. Weiss

   Pages 27-34

6. Entropies and Equilibria of Many-Particle Systems: An Essay on Recent Research

   • A. Arnold, J. A. Carrillo, L. Desvillettes, J. Dolbeault, A. Jüngel, C. Lederman et al.

   Pages 35-43

7. On the Blow-Up Set For Ut = (um)xx m> 1, with Nonlinear Boundary Conditions

   • M. C. Cortázar, M. Elgueta, O. Venegas

   Pages 45-56

8. A Phase Plane Analysis of the “Multi-Bubbling” Phenomenon in Some Slightly Supercritical Equations

   • Manuel del Pino, Jean Dolbeault, Monica Musso

   Pages 57-79

9. The Dirichlet Problem for the Porous Medium Equation in Bounded Domains. Asymptotic Behavior

   • Juan Luis Vazquez

   Pages 81-111

10. A Note on Deformations of 2D Fluid Motions Using 3D Born-Infeld Equations

    • Yann Brenier

    Pages 113-122

11. Kinetic Models for Chemotaxis and their Drift-Diffusion Limits

    • Fabio A. C. C. Chalub, Peter A. Markowich, Benoît Perthame, Christian Schmeiser

    Pages 123-141

12. Rotating Charge Coupled to the Maxwell Field: Scattering Theory and Adiabatic Limit

    • Valery Imaikin, Alexander Komech, Herbert Spohn

    Pages 143-156

13. On Hyperbolic Variational Inequalities of First Order and Some Applications

    • José Francisco Rodrigues

    Pages 157-177

14. Kinetic and Hydrodynamic Models of Nearly Elastic Granular Flows

    • Giuseppe Toscani

    Pages 179-192

15. Back Matter

    Pages 195-199

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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.

• applied nonlinear analysis
• nonlinear kinetic models
• nonlinear partial differential equations
• partial differential equation
• scattering theory
• variational methods
• partial differential equations

• FB Mathematik und Informatik, Johannes Gutenberg Universität Mainz, Hong Kong

  Ansgar Jüngel

• Centro de Modelamiento Matemático, Santiago de Chile

  Raul Manasevich

• Fakultät fur Mathematik, Universität Wien, Germany

  Peter A. Markowich

• Institute of Mathematics, KTH, Stockholm

  Henrik Shahgholian

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