**Contemporary Mathematics**

Volume: 371;
2005;
321 pp;
Softcover

MSC: Primary 35; 65; 76;

Print ISBN: 978-0-8218-3533-3

Product Code: CONM/371

List Price: $103.00

Individual Member Price: $82.40

**Electronic ISBN: 978-0-8218-7961-0
Product Code: CONM/371.E**

List Price: $103.00

Individual Member Price: $82.40

# Nonlinear Partial Differential Equations and Related Analysis

Share this page *Edited by *
*Gui-Qiang Chen; George Gasper; Joseph Jerome*

The Emphasis Year on Nonlinear Partial Differential Equations and Related Analysis at Northwestern University produced this fine collection of original research and survey articles. Many well-known mathematicians attended the events and submitted their contributions for this volume.

Eighteen papers comprise this work, representing the most significant advances and current trends in nonlinear PDEs and their applications. Topics covered include elliptic and parabolic equations, Navier Stokes equations, and hyperbolic conservation laws. Important applications are presented from incompressible and compressible fluid mechanics, combustion, and electromagnetism. Also included are articles on recent advances in statistical reliability in modeling, simulation, level set methods for image processing, shock waves, free boundaries, boundary layers, errors in numerical solutions, stability, instability, and singular limits.

The volume is suitable for researchers and graduate students interested in partial differential equations.

#### Table of Contents

# Table of Contents

## Nonlinear Partial Differential Equations and Related Analysis

- Contents v6 free
- Preface vii8 free
- Uniqueness of Entropy Solutions for Doubly Nonlinear Anisotropic Degenerate Parabolic Equations 110 free
- Nonlinear Regularizations of TV Based PDEs for Image Processing 2938
- Wave Generation by a Moving Boundary 4150
- Analysis on Models for Exothermically Reacting, Compressible Flows with Large Discontinuous Initial Data 7382
- Eulerian-Lagrangian Hydrodynamic Equations 93102
- Quantum Hydrodynamic Models Derived from the Entropy Principle 107116
- Mathematics of Viscous, Compressible, and Heat Conducting Fluids 133142
- Symmetry-Breaking Bifurcations for Free Boundary Problems 153162
- Errors in Numerical Solutions of Spherically Symmetric Shock Physics Problems 163172
- Existence to Solutions of a Kinetic Aerosol Model 181190
- Functional Analytic Methods for Evolution Systems 193202
- Stability of Riemann Solutions with Large Oscillation for the Euler Equations 205214
- Some Recent Results on Instability of Ideal Plane Flows 217226
- Boundary Conditions for an Ocean Related System with Small Parameter 231240
- A Remark on Y. Brenier's Approach to Born-Infeld Electro-Magnetic Fields 265274
- On Recent Developments in the Spectral Problem for the Linearized Euler Equation 271280
- Transonic Flow Arising from 2-D Riemann Problems 297306
- A Note on Long-Time Behavior of Solutions to the Boussinesq System at Large Prandtl Number 315324

#### Readership

Graduate students and research mathematicians interested in partial differential equations.