Long time existence for a two-dimensional strongly dispersive Boussinesq system
Analysis of PDEs
2020-09-08 v1
Abstract
We prove a long time existence result for the solutions of a two-dimensional Boussinesq system modeling the propagation of long, weakly nonlinear water waves. This system is exceptional in the sense that it is the only linearly well-posed system in the (abcd) family of Boussinesq systems whose eigenvalues of the linearized system have nontrivial zeroes. This new difficulty is solved by the use of "good unknowns " and of normal form techniques.
Keywords
Cite
@article{arxiv.2009.03050,
title = {Long time existence for a two-dimensional strongly dispersive Boussinesq system},
author = {Jean-Claude Saut and Li Xu},
journal= {arXiv preprint arXiv:2009.03050},
year = {2020}
}
Comments
arXiv admin note: text overlap with arXiv:1909.08298