Global conservative weak solutions for a class of nonlinear dispersive wave equations beyond wave breaking
Analysis of PDEs
2023-03-17 v2
Abstract
In this paper, we study the global conservative weak solutions for a class of nonlinear dispersive wave equations after wave breaking. We first transform the equations into an equivalent semi-linear system by introducing new variables. We then establish the global existence of solutions for the semi-linear system by using the standard theory of ordinary differential equations. Finally, returning to the original variables, we obtain the global conservative weak solutions for the original equations.
Keywords
Cite
@article{arxiv.2303.08640,
title = {Global conservative weak solutions for a class of nonlinear dispersive wave equations beyond wave breaking},
author = {Yonghui Zhou and Shuguan Ji},
journal= {arXiv preprint arXiv:2303.08640},
year = {2023}
}