Electronic Journal of Differential Equations,
Vol. 2013 (2013), No. 232, pp. 1-29.
Title: Motion of compressible magnetic fluids in T^3
Author: Weiping Yan (Jilin Univ., Changchun, China)
Abstract:
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.