Abstract
The inhomogeneous boundary value problem for the steady-state magnetohydrodynamic equations of viscous incompressible fluid under the Dirichlet conditions for the velocity and mixed boundary conditions for the electromagnetic field is considered. Sufficient conditions for the data that ensure the global solvability of this problem and the local uniqueness of its solution are found.
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Original Russian Text © G.V. Alekseev, 2016, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2016, Vol. 56, No. 8, pp. 1441–1454.
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Alekseev, G.V. Mixed boundary value problems for steady-state magnetohydrodynamic equations of viscous incompressible fluid. Comput. Math. and Math. Phys. 56, 1426–1439 (2016). https://doi.org/10.1134/S0965542516080029
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DOI: https://doi.org/10.1134/S0965542516080029