Mathematical problems in the theory of water waves : a Workshop on the Problems in the Theory of Nonlinear Hydrodynamic Waves, May 15-19, 1995, Luminy, France
著者
書誌事項
Mathematical problems in the theory of water waves : a Workshop on the Problems in the Theory of Nonlinear Hydrodynamic Waves, May 15-19, 1995, Luminy, France
（Contemporary mathematics, 200）
American Mathematical Society, c1996
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注記
Includes bibliographical references
内容説明・目次
内容説明
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 (Korteweg-de Vries, Boussinesq, Benjamin-Ono, Davey-Stewartson, Kadomtsev-Petviashvili, etc.), and existence and stability of solitary waves. It features: the latest developments in the theory of water waves; rigorous and formal results; and, papers from world-renowned experts in the field.
目次
Radiation and modulational instability described by the fifth-order Korteweg-De Vries equation by I. Bakholin and A. Ilichev Numerical simulation of singular solutions of the generalized Korteweg-de Vries equation by J. e. al. et al. Spatially quasi-periodic capillary-gravity waves by T. J. Bridges and F. Dias On modulations of weakly nonlinear water waves by T. Colin, F. Dias, and J.-M. Ghidaglia Birkhoff normal forms for water waves by W. Craig Remarks on the stability of generalized KP solitary waves by A. d. Bouard and J.-C. Saut On the asymptotic integrability of a generalized Burgers equation by A. S. Fokas and L. Luo Spatial instabilities and chaos in high-order Hamiltonian standing water waves by M. Glozman and Y. Agnon Solitary wave interactions for the fifth order KdV equation by B. Malomed and J.-M. Vanden-Broeck Forced Benjamin-Ono equations and related topics by Y. Matsuno Nonlinear evolution of water surface waves: The frequency down-shift phenomenon by C. Shankrani, C. Kharif, and J. Poitevin Solitary waves on the free surface of a rotating cylindrical flow by S. M. Sun On a generalized Kadomtsev-Petviashvili equation by M. M. Tom A phenomenological description of soliton splitting during run up by E. v. Groesen Asymptotic stability of nonlinear bound states in conservative dispersive systems by M. I. Weinstein.
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