Blow-up of smooth solutions to the compressible magnetohydrodynamic flows

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:422

Article

Tang, Tong¹  Wang, Yuexun² 

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

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

关键词: Blow-up;    Compressible magnetohydrodynamic equations;   

DOI  :  10.1016/j.jmaa.2014.08.020

来源: Elsevier

【 摘 要 】

In this paper, we prove the blow-up phenomena of smooth solutions to the Cauchy problem for the full compressible magnetohydrodynamic equations and isentropic compressible magnetohydrodynamic equations with constant and degenerate viscosities under some restrictions on the initial data. In particular, our results do not require that the initial data have compact support or contain vacuum in any finite region. Crown Copyright (C) 2014 Published by Elsevier Inc. All rights reserved.

【 授权许可】

Free