# On the well-posedness for the Ideal MHD equations in the Triebel-Lizorkin spaces - Mathematics > Analysis of PDEs

On the well-posedness for the Ideal MHD equations in the Triebel-Lizorkin spaces - Mathematics > Analysis of PDEs - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

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

Autor: Qionglei Chen, Changxing Miao, Zhifei Zhang

Fuente: https://arxiv.org/