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math.AP2024
Well-posedness and no-uniform dependence for the Euler-Poincaré equations in Triebel-Lizorkin spaces
Yuanhua Zhong, Jianzhong Lu, Min Li +1
In this paper, we study the Cauchy problem of the Euler-Poincaré equations in with initial data belonging to the Triebel-Lizorkin spaces. We prove the local-in-time unique e…
math.AP2024
The failure of Hölder regularity of solutions for the Euler-Poincaré equations in Besov spaces
Guorong Qu, Min Li
In this paper, we investigate the continuity of solution to the Euler-Poincaré equations. We show that the continuity of the solution cannot be improved to the Hölder continuity. T…