Nonlinear PDE's, dynamics and continuum physics : 1998 AMS-IMS-SIAM Joint Summer Research Conference on Nonlinear PDE's, Dynamics and Continuum Physics, July 19-23, 1998, Mount Holyoke College
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Nonlinear PDE's, dynamics and continuum physics : 1998 AMS-IMS-SIAM Joint Summer Research Conference on Nonlinear PDE's, Dynamics and Continuum Physics, July 19-23, 1998, Mount Holyoke College
（Contemporary mathematics, v. 255）
American Mathematical Society, c2000
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Includes bibliographical references
Description and Table of Contents
Description
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
Travelling-waves for generalized KdV-Burgers equations by H. Chen Some analytical coherent structures of the long-wave equations by S. R. Choudhury Weakly nonlinear elastic plane waves in a cubic crystal by W. Domanski On dynamics of exothermic interfaces by M. L. Frankel and V. Roytburd Similarity solutions for granular flows in hoppers by P.-A. Gremaud, J. V. Matthews, and M. Shearer Stability issues in nonisothermal elongational flow by T. Hagen and M. Renardy The damped $P$-system with boundary effects by L. Hsiao and R. Pan Prototypes for nonstrict hyperbolicity in conservation laws by B. L. Keyfitz and C. A. Mora Stability of blow-up patterns for nonlinear wave equations by S. Kichenassamy Slowly decaying solutions of KdV by M. Kovalyov Fractal solutions of the Schrodinger equation by I. Rodnianski Spectral condition for abstract instability by J. Shatah and W. Strauss On approximation of stable and unstable manifolds and the Stokes phenomenon by A. Tovbis A priori bounds in one-dimensional nonlinear thermoviscoelasticity by S. J. Watson Periodic solutions to conservation laws by R. Young.
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