Mathematical Problems in the Theory of Water Waves (Contemporary Mathematics)
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ISBN: 082180510X / Publisher: Amer Mathematical Society, September 1996
Fifteen presentations from a meeting held at the Int'l Center for Research in Mathematics, May 1995. Intended for grad students and research mathematicians in fluid mechanics. Aspects considered are: modelling of various wave systems, mathematical and numerical analysis of the full water wave problem and of asymptotic models, and the existence and stability of solitary waves. No index. Annotation c. by Book News, Inc., Portland, Or.
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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.Features the latest developments in the theory of water waves, rigorous and formal results, and papers from world-renowned experts in the field.
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