Electron. J. Diff. Equ.,
Vol. 2013 (2013), No. 232, pp. 129.
Motion of compressible magnetic fluids in T^3
Weiping Yan
Abstract:
This article shows the existence of weak timeperiodic motion of a
threedimensional system of compressible magnetic fluid driven by
timedependent external forces in a torus T^3.
The model consists of the mass conservation equation, the linear momentum
equation, the angular momentum equation, the BlochTorrey type equation
and the magnetostatic equation. This analysis is based on the
FaedoGalerkin 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
email: yan8441@126.com

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