On the well-posedness of a weakly dispersive Boussinesq system
Analysis of PDEs
2012-03-05 v1
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.
Keywords
Cite
@article{arxiv.1203.0365,
title = {On the well-posedness of a weakly dispersive Boussinesq system},
author = {Robin Ming Chen and Yue Liu},
journal= {arXiv preprint arXiv:1203.0365},
year = {2012}
}
Comments
20 pages