Solvability of an inhomogeneous boundary value problem for the stationary magnetohydrodynamic equations for a viscous incompressible fluid

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作者：
G. V. Alekseev
机构：
[1] Russian Academy of Sciences,Institute of Applied Mathematics, Far Eastern Branch
[2] Far Eastern Federal University,undefined
来源：
Differential Equations | 2016年 / 52卷
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摘要：
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.
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页码：739 / 748
页数：9
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[1]  
Ladyzhenskaya O.A.(1960)Solution of Some Nonstationary Problems of Magnetohydrodynamics for a Viscous Incompressible Fluid Tr. Mat. Inst. Steklova 59 115-174
[2]  
Solonnikov V.A.(1960)Some Stationary Boundary Value Problems of Magnetohydrodynamics Tr. Mat. Inst. Steklova 59 174-187
[3]  
Solonnikov V.A.(1991)On the Existence, Uniqueness, and Finite Element Approximation of Solution of the Equation of Stationary, Incompressible Magnetohydrodynamics Math. Comp. 56 523-563
[4]  
Gunzburger M.D.(2003)Control Problems for Stationary Equations of the Magnetohydrodynamics of a Viscous Incompressible Fluid Prikl. Mekh. Tekhn. Fiz. 44 170-179
[5]  
Meir A.J.(2004)Control Problems for Stationary Equations of Magnetohydrodynamics Dokl. Akad. Nauk 395 322-325
[6]  
Peterson J.S.(2004)Solvability of Control Problems for Stationary Equations of Magnetohydrodynamics of a Viscous Fluid Sibirsk. Mat. Zh. 45 243-262
[7]  
Alekseev G.V.(2004)Mixed Finite Element Methods for Stationary Incompressible Magneto-Hydrodynamics Numer. Math. 96 771-800
[8]  
Alekseev G.V.(2002)Solvability of Mixed Problem for Stationary Equations of Magnetohydrodynamics of a Viscous Fluid Dalnevost. Mat. Zh. 3 285-301
[9]  
Alekseev G.V.(2007)On the Solvability of Boundary Value Problems for Stationary Equations of Magneto-Hydrodynamics with Nonhomogeneous Mixed Boundary Conditions Differ. Uravn. 43 239-250
[10]  
Schotzau D.(1993)The Equation of Stationary, Incompressible Magnetohydrodynamics with Mixed Boundary Conditions Comput. Math. Appl. 25 13-29
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