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math.AP2024
Globally conservative weak solutions for a class of two-component nonlinear dispersive wave equations beyond wave breaking
Yonghui Zhou, Xiaowan Li
In this paper, we prove that the existence of globally conservative weak solutions for a class of two-component nonlinear dispersive wave equations beyond wave breaking. We first i…
math.AP2024
A new blowup criterion for strong solutions of a coupled periodic Camassa-Holm system
Yonghui Zhou, Xiaowan Li
This paper is concerned with the wave breaking phenomena for a coupled periodic Camassa-Holm system. We establish a new blowup criterion for strong solutions by the method of chara…