Motion of compressible magnetic fluids in \(T^3\)
Electronic journal of differential equations, Tome 2013 (2013)
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.
Classification :
76W05, 36D30, 35B10
Keywords: magnetohydrodynamics, weak solution, periodic solution
Keywords: magnetohydrodynamics, weak solution, periodic solution
@article{EJDE_2013__2013__a153,
author = {Yan, Weiping},
title = {Motion of compressible magnetic fluids in {\(T^3\)}},
journal = {Electronic journal of differential equations},
year = {2013},
volume = {2013},
zbl = {1302.76225},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a153/}
}
Yan, Weiping. Motion of compressible magnetic fluids in \(T^3\). Electronic journal of differential equations, Tome 2013 (2013). http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a153/