Article ID Journal Published Year Pages File Type
6419464 Journal of Mathematical Analysis and Applications 2011 14 Pages PDF
Abstract

In this paper, we study the 3D compressible magnetohydrodynamic equations. We obtain a blow up criterion for the local strong solutions just in terms of the gradient of the velocity, similar to the Beal-Kato-Majda criterion (see J.T. Beal, T. Kato and A. Majda (1984) [1]) for the ideal incompressible flow. In addition, initial vacuum is allowed in our case.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
, , ,