On the Well-posedness of the Ideal MHD Equations in the Triebel-Lizorkin Spaces

被引：58

作者：

Chen, Qionglei ^{[1
]}

Miao, Changxing ^{[1
]}

Zhang, Zhifei ^{[2
]}

机构：

[1] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China

[2] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2010年 / 195卷 / 02期

关键词：

KATO-MAJDA CRITERION; EULER EQUATIONS; REGULARITY; HYDRODYNAMICS; SINGULARITIES;

D O I：

10.1007/s00205-008-0213-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove the local well-posedness for the ideal MHD equations in the Triebel-Lizorkin spaces and obtain a blow-up criterion of smooth solutions. Specifically, we fill a gap in a step of the proof of the local well-posedness part for the incompressible Euler equation in Chae (Comm Pure Appl Math 55:654-678 2002).

引用

页码：561 / 578

页数：18

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