The well-posedness, blow-up and travelling waves for a two-component Fornberg-Whitham system
Analysis of PDEs
2021-04-14 v1
Abstract
In this paper, the two-component Fornberg-Whitham system is studied. We firstly investigate the well-posedness in classical Sobolev Space and show a blow-up scenario by local-in-time a priori estimates, then we present some sufficient conditions on the initial data to lead to wave breaking. Furthermore, we establish analytically the existence of periodic travelling waves.
Keywords
Cite
@article{arxiv.2006.00474,
title = {The well-posedness, blow-up and travelling waves for a two-component Fornberg-Whitham system},
author = {Fei Xu and Yong Zhang and Fengquan Li},
journal= {arXiv preprint arXiv:2006.00474},
year = {2021}
}