Mixed boundary value problems for steady-state magnetohydrodynamic equations of viscous incompressible fluid
- Authors: Alekseev G.V.1,2
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Affiliations:
- Institute of Applied Mathematics
- Far East Federal University
- Issue: Vol 56, No 8 (2016)
- Pages: 1426-1439
- Section: Article
- URL: https://journal-vniispk.ru/0965-5425/article/view/178601
- DOI: https://doi.org/10.1134/S0965542516080029
- ID: 178601
Cite item
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.
About the authors
G. V. Alekseev
Institute of Applied Mathematics; Far East Federal University
Author for correspondence.
Email: Alekseev@IAM.DVO.RU
Russian Federation, ul. Radio 7, Vladivostok, 690041; ul. Sukhanova 8, Vladivostok, 690950
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