2 papers
math.AP2025
Ill-posedness and inviscid limit of basic equations of fluid dynamics in Besov spaces
Jinlu Li, Xing Wu, Yanghai Yu
In this paper, we consider the Cauchy problem to the basic equations of fluid dynamics on the torus. Firstly, we construct a new initial data and provide a simple proof on the ill-…
math.AP2023
Zero-filter limit issue for the Camassa-Holm equation in Besov spaces
Yuxing Cheng, Jianzhong Lu, Min Li +2
In this paper, we focus on zero-filter limit problem for the Camassa-Holm equation in the more general Besov spaces. We prove that the solution of the Camassa-Holm equation converg…