This article shows the existence of weak time-periodic motion of a three-dimensional system of compressible magnetic fluid driven by time-dependent external forces in a torus T^3. The model consists of the mass conservation equation, the linear momentum equation, the angular momentum equation, the Bloch-Torrey type equation and the magnetostatic equation. This analysis is based on the Faedo-Galerkin method and weak compactness techniques.
Submitted August 8, 2013. Published October 18, 2013.
Math Subject Classifications: 76W05, 36D30, 35B10.
Key Words: Magnetohydrodynamics; weak solution; periodic solution.
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| Weiping Yan |
College of of Mathematics, Jilin University
Changchun 130012, China
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