2 papers
math.AP2026
Existence and uniqueness of the global conservative solutions for the generalized Camassa-Holm equation with dual-power nonlinearities
Jian Chen, Xiaoxin Chen, Zhaoyang Yin
In this paper, we investigate the global conservative solutions to the generalized Camassa-Holm equation with dual-power nonlinearities. By introducing a new set of variables, we t…
math.AP2025
The local well-posedness, global existence and ill-posedness for the fifth order Camassa-Holm model
Xiaoxin Chen, Zhaoyang Yin
In this paper, we consider the fifth order Camassa-Holm model. Firstly, we improve the local well-posedness results in \cite{TangLiu2015,FOCH2021}. Secondly, we give the blow up cr…