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9780821810521

Nonlinear Pde'S, Dynamics and Continuum Physics

by ; ; ;
  • ISBN13:

    9780821810521

  • ISBN10:

    0821810529

  • Format: Paperback
  • Copyright: 2000-04-01
  • Publisher: Amer Mathematical Society

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Summary

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

Preface ix
Travelling-waves for generalized KdV-Burgers equations
1(24)
H. Chen
Some analytical coherent structures of the long-wave equations
25(20)
S. R. Choudhury
Weakly nonlinear elastic plane waves in a cubic crystal
45(18)
W. Domanski
On dynamics of exothermic interfaces
63(16)
M. L. Frankel
V. Roytburd
Similarity solutions for granular flows in hoppers
79(18)
P.-A. Gremaud
J. V. Matthews
M. Shearer
Stability issues in nonisothermal elongational flow
97(12)
T. Hagen
M. Renardy
The damped p-system with boundary effects
109(16)
L. Hsiao
R. Pan
Prototypes for nonstrict hyperbolicity in conservation laws
125(14)
B. L. Keyfitz
C. A. Mora
Stability of blow-up patterns for nonlinear wave equations
139(24)
S. Kichenassamy
Slowly decaying solutions of KdV
163(18)
M. Kovalyov
Fractal solutions of the Schrodinger equation
181(8)
I. Rodnianski
Spectral condition for abstract instability
189(10)
J. Shatah
W. Strauss
On approximation of stable and unstable manifolds and the Stokes phenomenon
199(30)
A. Tovbis
A priori bounds in one-dimensional nonlinear thermoviscoelasticity
229(10)
S. J. Watson
Periodic solutions to conservation laws
239
R. Young

Supplemental Materials

What is included with this book?

The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

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