Contemporary Mathematics 2000; 256 pp; softcover Volume: 255 ISBN10: 0821810529 ISBN13: 9780821810521 List Price: US$79 Member Price: US$63.20 Order Code: CONM/255
 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 blowup, wellposedness 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. Readership Graduate students and researchers interested in partial differential equations and applied mathematics. Table of Contents  H. Chen  Travellingwaves for generalized KdVBurgers equations
 S. R. Choudhury  Some analytical coherent structures of the longwave equations
 W. Domański  Weakly nonlinear elastic plane waves in a cubic crystal
 M. L. Frankel and V. Roytburd  On dynamics of exothermic interfaces
 P.A. Gremaud, J. V. Matthews, and M. Shearer  Similarity solutions for granular flows in hoppers
 T. Hagen and M. Renardy  Stability issues in nonisothermal elongational flow
 L. Hsiao and R. Pan  The damped \(P\)system with boundary effects
 B. L. Keyfitz and C. A. Mora  Prototypes for nonstrict hyperbolicity in conservation laws
 S. Kichenassamy  Stability of blowup patterns for nonlinear wave equations
 M. Kovalyov  Slowly decaying solutions of KdV
 I. Rodnianski  Fractal solutions of the Schrödinger equation
 J. Shatah and W. Strauss  Spectral condition for abstract instability
 A. Tovbis  On approximation of stable and unstable manifolds and the Stokes phenomenon
 S. J. Watson  A priori bounds in onedimensional nonlinear thermoviscoelasticity
 R. Young  Periodic solutions to conservation laws
