Remarks on the well-posedness of the Euler equations in the Triebel-Lizorkin spaces

Zihua Guo; Kuijie Li

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arXiv · 1903.09437

Remarks on the well-posedness of the Euler equations in the Triebel-Lizorkin spaces

Zihua Guo·Kuijie Li

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Abstract

We prove the continuous dependence of the solution maps for the Euler equations in the (critical) Triebel-Lizorkin spaces, which was not shown in the previous works(\cite{Ch02, Ch03, ChMiZh10}). The proof relies on the classical Bona-Smith method as \cite{GuLiYi18}, where similar result was obtained in critical Besov spaces $B^1_{\infty,1}$.

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Zihua Guo, Kuijie Li. 2019-03-22. Remarks on the well-posedness of the Euler equations in the Triebel-Lizorkin spaces. https://arxiv.org/abs/1903.09437

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