On the well-posedness for the Ideal MHD equations in the Triebel-Lizorkin spaces

Changxing Miao; Qionglei Chen; Zhifei Zhang

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On the well-posedness for the Ideal MHD equations in the Triebel-Lizorkin spaces

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arxiv 0708.0099 v2 pith:QA2ZV7SZ submitted 2007-08-01 math.AP math-phmath.MP

Qionglei Chen , Changxing Miao , Zhifei Zhang This is my paper · ORCID

classification math.APmath-phmath.MP

keywords well-posednessequationsideallocalspacestriebel-lizorkinblow-upchae1

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In this paper, we prove the local well-posedness for the Ideal MHD equations in the Triebel-Lizorkin spaces and obtain blow-up criterion of smooth solutions. Specially, we fill a gap in a step of the proof of the local well-posedness part for the incompressible Euler equation in \cite{Chae1}.

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