Contemporary Mathematics 1996; 235 pp; softcover Volume: 200 ISBN10: 082180510X ISBN13: 9780821805107 List Price: US$71 Member Price: US$56.80 Order Code: CONM/200
 The proceedings featured in this book grew out of a conference attended by 40 applied mathematicians and physicists which was held at the International Center for Research in Mathematics in Luminy, France, in May 1995. This volume reviews recent developments in the mathematical theory of water waves. The following aspects are considered: modeling of various wave systems, mathematical and numerical analysis of the full water wave problem (the Euler equations with a free surface) and of asymptotic models (Kortewegde Vries, Boussinesq, BenjaminOno, DaveyStewartson, KadomtsevPetviashvili, etc.), and existence and stability of solitary waves. Features:  The latest developments in the theory of water waves.
 Rigorous and formal results.
 Papers from worldrenowned experts in the field.
Readership Graduate students and research mathematicians interested in fluid mechanics. Table of Contents  I. Bakholin and A. Il'ichev  Radiation and modulational instability described by the fifthorder KortewegDe Vries equation
 J. e. al. et al.  Numerical simulation of singular solutions of the generalized Kortewegde Vries equation
 T. J. Bridges and F. Dias  Spatially quasiperiodic capillarygravity waves
 T. Colin, F. Dias, and J.M. Ghidaglia  On modulations of weakly nonlinear water waves
 W. Craig  Birkhoff normal forms for water waves
 A. d. Bouard and J.C. Saut  Remarks on the stability of generalized KP solitary waves
 A. S. Fokas and L. Luo  On the asymptotic integrability of a generalized Burgers equation
 M. Glozman and Y. Agnon  Spatial instabilities and chaos in highorder Hamiltonian standing water waves
 B. Malomed and J.M. VandenBroeck  Solitary wave interactions for the fifth order KdV equation
 Y. Matsuno  Forced BenjaminOno equations and related topics
 C. Shankrani, C. Kharif, and J. Poitevin  Nonlinear evolution of water surface waves: The frequency downshift phenomenon
 S. M. Sun  Solitary waves on the free surface of a rotating cylindrical flow
 M. M. Tom  On a generalized KadomtsevPetviashvili equation
 E. v. Groesen  A phenomenological description of soliton splitting during run up
 M. I. Weinstein  Asymptotic stability of nonlinear bound states in conservative dispersive systems
