Wave breaking in the unidirectional non-local wave model
Analysis of PDEs
2023-06-14 v1
Abstract
In this paper we study wave breaking in the unidirectional non-local wave model describing the motion of a collision-free plasma in a magnetic field. By analyzing the monotonicity and continuity properties of a system of the Riccati-type differential inequalities involving the extremal slopes of flows, we show a new sufficient condition on the initial data to exhibit wave breaking. Moreover, the estimates of life span and wave breaking rate are derived.
Cite
@article{arxiv.2306.07661,
title = {Wave breaking in the unidirectional non-local wave model},
author = {Shaojie Yang and Jian Chen},
journal= {arXiv preprint arXiv:2306.07661},
year = {2023}
}