期刊
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
卷 205, 期 1, 页码 27-58出版社
SPRINGER
DOI: 10.1007/s00205-012-0498-3
关键词
-
资金
- NSF [DMS-0758043]
We prove the global-in-time existence of weak solutions of the equations of compressible magnetohydrodynamics in three space dimensions with initial data small in L (2) and initial density positive and essentially bounded. A great deal of information concerning partial regularity is obtained: velocity, vorticity, and magnetic field become relatively smooth in positive time (H (1) but not H (2)) and singularities in the pressure cancel those in a certain multiple of the divergence of the velocity, thus giving concrete expression to conclusions obtained formally from the Rankine-Hugoniot conditions.
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