4 papers · 1 filter
Blowup analysis of a Camassa-Holm type equation with time-varying dissipation
Yonghui Zhou, Xiaowan Li, Shuguan Ji
This paper is concerned with the local well-posedness, wave breaking, blow-up rate for a Camassa-Holm type equation with time-dependent weak dissipation. Firstly, we obtain the loc…
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…
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…
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…