2 papers
math.AP2026
Global conservative weak solutions and global strong solutions for a class of weakly dissipative nonlinear dispersive wave equations
Yiyao Lian, Zhenyu Wan, Zhaoyang Yin
In this paper, we study the global existence of solutions of the Cauchy problem for a class of weakly dissipative nonlinear dispersive wave equations $u_t-u_{xxt}+(f\left(u\right))…
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…