2 papers
math.AP2024
Global existence and blow-up for the Euler-Poincaré equations with a class of initial data
Jinlu Li, Yanghai Yu, Weipeng Zhu
In this paper we investigate the Cauchy problem of d-dimensional Euler-Poincaré equations. By choosing a class of new and special initial data, we can transform this d-dimensional…
math.AP2022
Ill-posedness for the Camassa-Holm equation in
Jinlu Li, Yanghai Yu, Yingying Guo +1
In this paper, we study the Cauchy problem for the Camassa-Holm equation on the real line. By presenting a new construction of initial data, we show that the solution map in the sm…