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arXiv · 1203.0365

On the well-posedness of a weakly dispersive Boussinesq system

Robin Ming Chen·Yue Liu
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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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Robin Ming Chen, Yue Liu. 2012-03-02. On the well-posedness of a weakly dispersive Boussinesq system. https://arxiv.org/abs/1203.0365

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