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 ${\mathbb{R}}^d$ with initial data belonging to the Triebel-Lizorkin spaces. We prove the local-in-time unique e…