Asymptotics in shallow water waves
Analysis of PDEs
2014-07-03 v1
Abstract
In this paper we consider the initial value problem for a family of shallow water equations on the line with various asymptotic conditions at infinity. In particular we construct solutions with prescribed asymptotic expansion as and prove their invariance with respect to the solution map.
Cite
@article{arxiv.1407.0598,
title = {Asymptotics in shallow water waves},
author = {Bob McOwen and Peter Topalov},
journal= {arXiv preprint arXiv:1407.0598},
year = {2014}
}