A LOGARITHMALLY IMPROVED BLOW-UP CRITERION OF SMOOTH SOLUTIONS FOR THE THREE-DIMENSIONAL MHD EQUATIONS

Yu-Zhu Wang,Hengjun Zhao,Yin-Xia Wang

A LOGARITHMALLY IMPROVED BLOW-UP CRITERION OF SMOOTH SOLUTIONS FOR THE THREE-DIMENSIONAL MHD EQUATIONS

2012

Yu-Zhu Wang
Hengjun Zhao
Yin-Xia Wang

In this paper we investigate the Cauchy problem for the three-dimensional incompressible magnetohydrodynamic equations. A logarithmal improved blow-up criterion of smooth solutions is obtained.

Keywords:

Magnetohydrodynamics
Magnetohydrodynamic drive
Mathematical analysis
Initial value problem
Compressibility
Mathematics

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