A blow-up criterion of strong solutions to the 3D compressible MHD equations with vacuum

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:406

Article

Yu, Haibo

关键词: Compressible magnetohydrodynamics;    Strong solution;    Blow-up criterion;    Vacuum;   

DOI  :  10.1016/j.jmaa.2013.04.080

来源: Elsevier

【 摘 要 】

In this paper, we prove a blow-up criterion of strong solutions to 3D viscous isentropic compressible magnetohydrodynamic equations. It is shown that if rho and H satisfy parallel to rho parallel to L-infinity(0.T:L-infinity) + parallel to H parallel to L-infinity(0.T:L-r) < infinity, for any 24/5 <= r <= infinity and 3 mu >lambda then the strong solutions to the Cauchy problem of the compressible magnetohydrodynamic equations can exist globally on [0, T]. In addition, initial vacuum is allowed. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free