An initial boundary-value problem for a system of equations of magnetohydrodynamics |
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Authors: | L Stupelis |
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Institution: | (1) Institute of Mathematics and Informatics, Akademijos 4, 2600 Vilnius, Lithuania |
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Abstract: | In the present paper we consider one initial boundary-value problem for a system of equations of magnetohydrodynamics in the
case where it is necessary to take into account the displacement currents in the Maxwell system of equations. We prove a local
(in time) unique solvability of this problem in the Sobolev spaces.
Translated from Lietuvos Matematikos Rinkinys, Vol. 40, No. 2, pp. 228–254, April–June, 2000.
Translated by R. Lapinskas |
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Keywords: | magnetohydrodynamics displacement currents Navier-Stokes equations Maxwell equations |
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