Well-posednesss of strongly dispersive two-dimensional surface waves Boussinesq systems

2011/03/21 by Linares, Felipe, Pilod, Didier, Saut, Jean-Claude
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1103.4159

Abstract

We consider in this paper the well-posedness for the Cauchy problem associated to two-dimensional dispersive systems of Boussinesq type which model weakly nonlinear long wave surface waves. We emphasize the case of the \it strongly dispersive ones with focus on the "KdV-KdV" system which possesses the strongest dispersive properties and which is a vector two-dimensional extension of the classical KdV equation.

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