3 papers
math.AP2025
Analysis on a generalized two-component Novikov system
Yonghui Zhou, Xiaowan Li, Shuguan Ji +1
In this paper, we study the Cauchy problem for a generalized two-component Novikov system with weak dissipation. We first establish the local well-posedness of solutions by using t…
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…