On axially symmetric incompressible magnetohydrodynamics in three dimensions

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:259

Article

Lei, Zhen^1,2 

[1] Fudan Univ, Sch Math Sci, LMNS, Shanghai 200433, Peoples R China

[2] Fudan Univ, Shanghai Key Lab Contemporary Appl Math, Shanghai 200433, Peoples R China

关键词: Ideal magnetohydrodynamics;    Global regularity;    Axial symmetry;   

DOI  :  10.1016/j.jde.2015.04.017

来源: Elsevier

【 摘 要 】

In the short article we study the ideal incompressible magnetohydrodynamic equations in three dimensions in which the Faraday law is inviscid. We prove the global well-posedness of classical solutions for a family of special axisymmetric initial data whose swirl components of the velocity field and magnetic voracity field are trivial. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free