On the well-posedness of a weakly dispersive Boussinesq system

Details On the well-posedness of a weakly dispersive Boussinesq system On the well-posedness of a weakly dispersive Boussinesq system

2012-03-02

arxiv.org/abs/1203.0365v1

Mathematics

Analysis of PDEs

20 pages

Scientific paper

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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