**Contemporary Mathematics**

Volume: 255;
2000;
256 pp;
Softcover

MSC: Primary 34; 35; 37; 47; 74; 76; 81;

Print ISBN: 978-0-8218-1052-1

Product Code: CONM/255

List Price: $79.00

Individual Member Price: $63.20

**Electronic ISBN: 978-0-8218-7845-3
Product Code: CONM/255.E**

List Price: $79.00

Individual Member Price: $63.20

# Nonlinear PDE’s, Dynamics and Continuum Physics

Share this page *Edited by *
*Jerry Bona; Katarzyna Saxton; Ralph Saxton*

This volume contains the refereed proceedings of the conference on Nonlinear Partial Differential Equations, Dynamics and Continuum Physics which was held at Mount Holyoke College in Massachusetts, from July 19th to July 23rd, 1998. Models examined derive from a wide range of applications, including elasticity, thermoviscoelasticity, granular media, fluid dynamics, gas dynamics and conservation laws. Mathematical topics include existence theory and stability/instability of traveling waves, asymptotic behavior of solutions to nonlinear wave equations, effects of dissipation, mechanisms of blow-up, well-posedness and regularity, and fractal solutions.

The text will be of interest to graduate students and researchers working in nonlinear partial differential equations and applied mathematics.

#### Table of Contents

# Table of Contents

## Nonlinear PDE's, Dynamics and Continuum Physics

- Contents vii8 free
- Preface ix10 free
- Travelling-waves for generalized KdV-Burgers equations 112 free
- Some analytical coherent structures of the long-wave equations 2536
- Weakly nonlinear elastic plane waves in a cubic crystal 4556
- On dynamics of exothermic interfaces 6374
- Similarity solutions for granular flows in hoppers 7990
- Stability issues in nonisothermal elongational flow 97108
- The damped p-system with boundary effects 109120
- Prototypes for nonstrict hyperbolicity in conservation laws 125136
- Stability of blow-up patterns for nonlinear wave equations 139150
- Slowly decaying solutions of KdV 163174
- Fractal solutions of the Schrödinger equation 181192
- Spectral condition for abstract instability 189200
- On approximation of stable and unstable manifolds and the Stokes phenomenon 199210
- A priori bounds in one-dimensional nonlinear thermoviscoelasticity 229240
- Periodic solutions to conservation laws 239250

#### Readership

Graduate students and researchers interested in partial differential equations and applied mathematics.