On the well-posedness of a weakly dispersive Boussinesq system

2012/03/02 by Chen, Robin Ming, Liu, Yue
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1203.0365

Abstract

We study the Cauchy problem for one-dimensional dispersive system of Boussinesq type which models weakly nonlinear long wave surface waves. We establish the local well-posedness and ill-posedness of solutions to the system. We also provide criteria for the formation of singularities.

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