3 papers
math.AP2026
Blow-up phemomenon for the Geng-Xue system and related models
Song Liu, Zhaoyang Yin
In this paper, we consider the Cauchy problem of the Geng-Xue system with cubic nonlinearity. Firstly, we prove a blow-up criteria in the low besov space. Secondly, we prove the bl…
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…
math.AP2025
The local well-posedness, blow-up phenomena and ill-posedness of a new fifth-order Camassa-Holm type equation
Yiyao Lian, Zhaoyang Yin
In this paper, we study a new fifth-order Camassa-Holm type equation derived by Li \cite{Li.Z}. We firstly establish the local well-posedness in the sense of Hadamard for the Cauch…