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

Abstract

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 Chae1.

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