A shallow‐water approximation to the full water wave problem

Yi A. Li

Type: Article

Publication Date: 2006-06-27

Citations: 77

DOI: https://doi.org/10.1002/cpa.20148

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Locations

Communications on Pure and Applied Mathematics - View

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Works Cited by This (16)

Action	Title	Year	Authors
+	Well-posedness of the water-waves equations	2005	David Lannes
+ PDF Chat	Applications of lie groups to differential equations	1990	Peter J. Olver
+	On the Cauchy Problem for the Generalized Korteweg-de Vries Equation	2003	Luc Molinet Francis Ribaud
+	Hamiltonian long-wave approximations to the water-wave problem	1994	Walter Craig M. D. Groves
+	Hyperbolic systems of conservation laws II	1957	Peter D. Lax
+	Well-Posedness of Vortex Sheets with Surface Tension	2003	David M. Ambrose
+	An existence theory for water waves and the boussinesq and korteweg-devries scaling limits	1985	Walter Craig
+	Existence of a generalized solitary wave solution for water with positive bond number less than 13	1991	S. M. Sun
+	The long-wave limit for the water wave problem I. The case of zero surface tension	2000	Guido Schneider C. Eugene Wayne
+	Linear stability of solitary waves of the Green‐Naghdi equations	2001	Yi A. Li