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An initial boundary-value problem for a system of equations of magnetohydrodynamics

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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.

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Authors and Affiliations

  1. Institute of Mathematics and Informatics, Akademijos 4, 2600, Vilnius, Lithuania

    L. Stupelis

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  1. L. Stupelis
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Additional information

Translated from Lietuvos Matematikos Rinkinys, Vol. 40, No. 2, pp. 228–254, April–June, 2000.

Translated by R. Lapinskas

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Stupelis, L. An initial boundary-value problem for a system of equations of magnetohydrodynamics. Lith Math J 40, 176–196 (2000). https://doi.org/10.1007/BF02467157

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  • DOI: https://doi.org/10.1007/BF02467157

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