Wave breaking for the Kakutani-Matsuuchi model
Analysis of PDEs
2023-05-02 v1
Abstract
In this paper, we consider the Kakutani-Matsuuchi model which describes the surface elevation of the water-waves under the effect of viscosity. We show wave breaking for the Kakutani-Matsuuchi model, namely, the solution remains bounded but its slope becomes unbounded in finite time, the slope of the initial data is sufficiently negative.
Keywords
Cite
@article{arxiv.2305.00625,
title = {Wave breaking for the Kakutani-Matsuuchi model},
author = {Shaojie Yang and Jianmin Zhao},
journal= {arXiv preprint arXiv:2305.00625},
year = {2023}
}