Email this article Solvability of an inhomogeneous boundary value problem for the stationary magnetohydrodynamic equations for a viscous incompressible fluid
- Authors: Alekseev G.V.1,2
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Affiliations:
- Institute of Applied Mathematics, Far Eastern Branch
- Far Eastern Federal University
- Issue: Vol 52, No 6 (2016)
- Pages: 739-748
- Section: Partial Differential Equations
- URL: https://journals.rcsi.science/0012-2661/article/view/153854
- DOI: https://doi.org/10.1134/S0012266116060045
- ID: 153854
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Abstract
We study an inhomogeneous boundary value problem for the stationary magnetohydrodynamic equations for a viscous incompressible fluid corresponding to the case in which the tangential component of the magnetic field is specified on the boundary and the Dirichlet condition is posed for the velocity. We derive sufficient conditions on the input data for the global solvability of the problem and the local uniqueness of the solution.
About the authors
G. V. Alekseev
Institute of Applied Mathematics, Far Eastern Branch; Far Eastern Federal University
Author for correspondence.
Email: alekseev@iam.dvo.ru
Russian Federation, Vladivostok; Vladivostok
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