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Solvability of a mixed boundary value problem for stationary equations of magnetohydrodynamics of a viscous heat-conducting liquid

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Abstract

Under study is some boundary value problem for stationary equations of magnetohydrodynamics of a viscous heat-conducting liquid considered together with the Dirichlet condition for the velocity and mixed boundary conditions for the electromagnetic field and temperature. Some sufficient conditions are established on the initial data providing the global solvability of this problem and the local uniqueness of the solution.

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Authors and Affiliations

  1. Far Eastern Federal University, ul. Sukhanova 8, Vladivostok, 690950, Russia

    G. V. Alekseev

  2. Institute of Applied Mathematics, ul. Radio 7, Vladivostok, 690041, Russia

    G. V. Alekseev

Authors
  1. G. V. Alekseev
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Correspondence to G. V. Alekseev.

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Original Russian Text © G.V. Alekseev, 2015, published in Sibirskii Zhurnal Industrial’noi Matematiki, 2015, Vol. XVIII, No. 2, pp. 24–35.

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Alekseev, G.V. Solvability of a mixed boundary value problem for stationary equations of magnetohydrodynamics of a viscous heat-conducting liquid. J. Appl. Ind. Math. 9, 306–316 (2015). https://doi.org/10.1134/S1990478915030023

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  • DOI: https://doi.org/10.1134/S1990478915030023

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