Geodesic
Motion of compressible magnetic fluids in $T^3$
Electronic Journal of Differential Equations, Tome 2013 (2013).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 
@article{EJDE_2013__2013__a53,
     author = {Yan, Weiping},
     title = {Motion of compressible magnetic fluids in $T^3$},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2013},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a53/}
}
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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__a53/