The Cauchy problem on large time for surface waves type Boussinesq systems II

2015/11/27 by Saut, Jean-Claude, Wang, Chao, Xu, Li · 1 citation
#35Q35 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1511.08824

Abstract

This paper is a continuation of a previous work by two of the Authors on long time existence for Boussinesq systems modeling the propagation of long, weakly nonlinear water waves. We provide proofs on examples not considered previously in particular we prove a long time well-posedness result for a delicate "strongly dispersive" Boussinesq system.

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• Improved existence time for the Whitham equation and a Whitham-Boussinesq system

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