Mathematical problems in the theory of water waves
Subtitle: a workshop on the problems in the theory of nonlinear hydrodynamic waves, May 15-19, 1995, Luminy, France
By: F. Dias, J.-M. Ghidaglia, J.-C. Saut, editors.
Contributors: Dias, F. 1962-; Ghidaglia, J.-M.; Saut, J.-C.
Series: Contemporary mathematics,; 200; Contemporary mathematics (American Mathematical Society) ;; v. 200.
Publisher: American Mathematical Society
Published: 1996
Place of publication: Providence, R.I
Language: eng
Number of pages: 235
Subjects: Wave-motion, Theory of -- Congresses.; Water waves -- Congresses.
Description: 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.
Notes: Includes bibliographical references.