Long time existence for a strongly dispersive Boussinesq system
Analysis of PDEs
2019-09-19 v1
Abstract
This paper is concerned with the one-dimensional version of a specific member of the (abcd) family of Boussinesq systems having the higher possible dispersion. We will establish two different long time existence results for the solutions of the Cauchy problem. The proofs involve normal form transformations suitably modified away from the zero set of the phases.
Keywords
Cite
@article{arxiv.1909.08298,
title = {Long time existence for a strongly dispersive Boussinesq system},
author = {Jean-Claude Saut and Li Xu},
journal= {arXiv preprint arXiv:1909.08298},
year = {2019}
}