On the ideal compressible magnetohydrodynamic equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:430

Article

Tang, Tong¹  Wang, Yuexun² 

[1] Hohai Univ, Dept Math, Coll Sci, Nanjing 210098, Jiangsu, Peoples R China

[2] Tsinghua Univ, Ctr Math Sci, Beijing 100084, Peoples R China

关键词: Existence;    Strong solutions;    Compressible magnetohydrodynamic equations;    Blow up;   

DOI  :  10.1016/j.jmaa.2015.04.015

来源: Elsevier

【 摘 要 】

In this paper, we consider the short time strong solutions to the ideal compressible magnetohydrodynamic equations with initial vacuum, where the velocity field satisfies the Navier-slip condition. Inspired by Kato and Lax's idea, we use the contraction mapping argument to prove the local existence. Moreover, under the Navier-slip condition, we establish a criterion for possible breakdown of such solutions at finite time in terms of the temporal integral of L-infinity norm of the deformation tensor D(u). (C) 2015 Published by Elsevier Inc.

【 授权许可】

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