The equations of stationary, incompressible magnetohydrodynamics with mixed boundary conditions

DOI10.1016/0898-1221(93)90182-UzbMath0774.35059MaRDI QIDQ2366662

A. J. Meir

Publication date: 1 September 1993

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

existenceuniquenessfinite element approximationcontrol problemsfree boundary value problemsDirichletNeumannartificially truncated domainssteady-state magnetohydrodynamics

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (17)

A velocity-current formulation for stationary MHD flow ⋮ Solvability of an inhomogeneous boundary value problem for the stationary magnetohydrodynamic equations for a viscous incompressible fluid ⋮ Boundary optimal control of MHD flows ⋮ Mixed boundary value problems for stationary magnetohydrodynamic equations of a viscous heat-conducting fluid ⋮ Numerical analysis of a second order algorithm for simplified magnetohydrodynamic flows ⋮ Numerical analysis of Crank–Nicolson method for simplified <scp>magnetohydrodynamics</scp> with linear time relaxation ⋮ Existence of a solution to the steady Magnetohydrodynamics‐Boussinesq system with mixed boundary conditions ⋮ Variational methods for stationary MHD flow under natural interface conditions ⋮ Boundary control problems for the stationary magnetic hydrodynamic equations in the domain with non-ideal boundary ⋮ On the solvability of boundary value problems for the stationary magnetohydrodynamic equations with inhomogeneous mixed boundary conditions ⋮ Mixed boundary value problems for steady-state magnetohydrodynamic equations of viscous incompressible fluid ⋮ Finite element analysis of magnetohydrodynamic pipe flow ⋮ Mixed velocity, stress, current, and potential boundary conditions for stationary MHD flow ⋮ Numerical analysis of backward-Euler discretization for simplified magnetohydrodynamic flows ⋮ On stationary solution of viscous compressible MHD equations ⋮ Solvability of the boundary value problem for stationary magnetohydrodynamic equations under mixed boundary conditions for the magnetic field ⋮ Numerical analysis of two partitioned methods for uncoupling evolutionary MHD flows

Cites Work

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• Finite element approximation of the Navier-Stokes equations
• Finite element approximation of incompressible Navier-Stokes equations with slip boundary condition
• On a boundary value problem for a stationary system of Navier-Stokes equations
• On the Existence, Uniqueness, and Finite Element Approximation of Solutions of the Equations of Stationary, Incompressible Magnetohydrodynamics
• Finite element approximation of steady Navier-Stokes equations with mixed boundary conditions
• On Korn's second inequality
• Thermally coupled, stationary, incompressible MHD flow; existence, uniqueness, and finite element approximation
• Equivalent Norms for Sobolev Spaces

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