Solvability Analysis of a Mixed Boundary Value Problem for Stationary Magnetohydrodynamic Equations of a Viscous Incompressible Fluid

We investigate the boundary value problem for steady-state magnetohydrodynamic (MHD) equations with inhomogeneous mixed boundary conditions for a velocity vector, given the tangential component of a magnetic field. The problem represents the flow of electrically conducting viscous fluid in a 3D-boun...

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Autores principales:	Gennadii Alekseev, Roman V. Brizitskii
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	magnetohydrodynamic boundary value problem global solvability local uniqueness hydrodynamic lifting magnetic lifting Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/7b6bc2202620404ea9de8eb6b76e13c4
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spelling	oai:doaj.org-article:7b6bc2202620404ea9de8eb6b76e13c42021-11-25T19:06:39ZSolvability Analysis of a Mixed Boundary Value Problem for Stationary Magnetohydrodynamic Equations of a Viscous Incompressible Fluid10.3390/sym131120882073-8994https://doaj.org/article/7b6bc2202620404ea9de8eb6b76e13c42021-11-01T00:00:00Zhttps://www.mdpi.com/2073-8994/13/11/2088https://doaj.org/toc/2073-8994We investigate the boundary value problem for steady-state magnetohydrodynamic (MHD) equations with inhomogeneous mixed boundary conditions for a velocity vector, given the tangential component of a magnetic field. The problem represents the flow of electrically conducting viscous fluid in a 3D-bounded domain, which has the boundary comprising several parts with different physical properties. The global solvability of the boundary value problem is proved, a priori estimates of the solutions are obtained, and the sufficient conditions on data, which guarantee a solution’s local uniqueness, are determined.Gennadii AlekseevRoman V. BrizitskiiMDPI AGarticlemagnetohydrodynamicboundary value problemglobal solvabilitylocal uniquenesshydrodynamic liftingmagnetic liftingMathematicsQA1-939ENSymmetry, Vol 13, Iss 2088, p 2088 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	magnetohydrodynamic boundary value problem global solvability local uniqueness hydrodynamic lifting magnetic lifting Mathematics QA1-939
spellingShingle	magnetohydrodynamic boundary value problem global solvability local uniqueness hydrodynamic lifting magnetic lifting Mathematics QA1-939 Gennadii Alekseev Roman V. Brizitskii Solvability Analysis of a Mixed Boundary Value Problem for Stationary Magnetohydrodynamic Equations of a Viscous Incompressible Fluid
description	We investigate the boundary value problem for steady-state magnetohydrodynamic (MHD) equations with inhomogeneous mixed boundary conditions for a velocity vector, given the tangential component of a magnetic field. The problem represents the flow of electrically conducting viscous fluid in a 3D-bounded domain, which has the boundary comprising several parts with different physical properties. The global solvability of the boundary value problem is proved, a priori estimates of the solutions are obtained, and the sufficient conditions on data, which guarantee a solution’s local uniqueness, are determined.
format	article
author	Gennadii Alekseev Roman V. Brizitskii
author_facet	Gennadii Alekseev Roman V. Brizitskii
author_sort	Gennadii Alekseev
title	Solvability Analysis of a Mixed Boundary Value Problem for Stationary Magnetohydrodynamic Equations of a Viscous Incompressible Fluid
title_short	Solvability Analysis of a Mixed Boundary Value Problem for Stationary Magnetohydrodynamic Equations of a Viscous Incompressible Fluid
title_full	Solvability Analysis of a Mixed Boundary Value Problem for Stationary Magnetohydrodynamic Equations of a Viscous Incompressible Fluid
title_fullStr	Solvability Analysis of a Mixed Boundary Value Problem for Stationary Magnetohydrodynamic Equations of a Viscous Incompressible Fluid
title_full_unstemmed	Solvability Analysis of a Mixed Boundary Value Problem for Stationary Magnetohydrodynamic Equations of a Viscous Incompressible Fluid
title_sort	solvability analysis of a mixed boundary value problem for stationary magnetohydrodynamic equations of a viscous incompressible fluid
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/7b6bc2202620404ea9de8eb6b76e13c4
work_keys_str_mv	AT gennadiialekseev solvabilityanalysisofamixedboundaryvalueproblemforstationarymagnetohydrodynamicequationsofaviscousincompressiblefluid AT romanvbrizitskii solvabilityanalysisofamixedboundaryvalueproblemforstationarymagnetohydrodynamicequationsofaviscousincompressiblefluid
_version_	1718410286588755968

Solvability Analysis of a Mixed Boundary Value Problem for Stationary Magnetohydrodynamic Equations of a Viscous Incompressible Fluid

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