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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 / F. Dias, J.-M. Ghidaglia, J.-C. Saut, editors.
- Format:
- Book
- Series:
- Contemporary mathematics (American Mathematical Society) ; 200.
- Contemporary mathematics, 0271-4132 ; 200
- Language:
- English
- Subjects (All):
- Wave-motion, Theory of--Congresses.
- Wave-motion, Theory of.
- Water waves--Congresses.
- Water waves.
- Physical Description:
- 1 online resource (264 p.)
- Edition:
- 1st ed.
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, [1996]
- Language Note:
- English
- Summary:
- 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.
- Contents:
- ""Contents""; ""Preface""; ""An appreciation of T. Brooke Benjamin (1929�1995)""; ""List of participants""; ""List of lectures""; ""Radiation and modulational instability described by the fifth-order Korteweg De Vries equation""; ""Numerical simulation of singular solutions of the generalized Korteweg-deVries equation""; ""Spatially quasi-periodic capillary-gravity waves""; ""On modulations of weakly nonlinear water waves""; ""Birkhoff normal forms for water waves""; ""Remarks on the stability of generalized KP solitary waves""
- ""On the asymptotic integrability of a generalized Burgers equation""""Spatial instabilities and chaos in high-order Hamiltonian standing water waves""; ""Solitary wave interactions for the fifth-order KdV equation""; ""Forced Benjamin-Ono equations and related topics""; ""Nonlinear evolution of water surface waves: The frequency down-shift phenomenon""; ""Solitary waves on the free surface of a rotating cylindrical flow""; ""On a generalized Kadomtsev-Petviashvili equation""; ""A phenomenological description of soliton splitting during run up""
- ""Asymptotic stability of nonlinear bound states in conservative dispersive systems""
- Notes:
- Description based upon print version of record.
- Includes bibliographical references.
- Description based on print version record.
- ISBN:
- 0-8218-7791-7
- 0-8218-5536-0
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