Article ID Journal Published Year Pages File Type
4663486 Acta Mathematica Scientia 2016 13 Pages PDF
Abstract

In this paper, we consider the formation of singularity for the classical solutions to compressible MHD equations without thermal conductivity or infinity electric conductivity when the initial data contains vacuum. We show that the life span of any smooth solution will not be extended to ∞, if the initial vacuum only appears in some local domain and the magnetic field vanishes on the interface that separates the vacuum and non-vacuum state, regardless the size of the initial data or the far field state.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)