Geodesic
Solvability of a~boundary value problem for stationary equations of magnetohydrodynamics of a~viscous heat-conducting fluid
Sibirskij žurnal industrialʹnoj matematiki, Tome 18 (2015) no. 2, pp. 24-35

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We study a boundary value problem for the stationary equations of magnetohydrodynamics of a viscous heat-conducting fluid considered under the Dirichlet condition for the velocity and mixed boundary conditions for the electromagnetic field and the temperature. Sufficient conditions are established on the initial data that guarantee the global solvability of this problem and the local uniqueness of its solution.
Keywords: magnetohydrodynamics, boundary value problem, mixed boundary conditions, solvability, uniqueness. 
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     author = {G. V. Alekseev},
     title = {Solvability of a~boundary value problem for stationary equations of magnetohydrodynamics of a~viscous heat-conducting fluid},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {24--35},
     publisher = {mathdoc},
     volume = {18},
     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2015_18_2_a2/}
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G. V. Alekseev. Solvability of a~boundary value problem for stationary equations of magnetohydrodynamics of a~viscous heat-conducting fluid. Sibirskij žurnal industrialʹnoj matematiki, Tome 18 (2015) no. 2, pp. 24-35. http://geodesic.mathdoc.fr/item/SJIM_2015_18_2_a2/