On the solvability of boundary value problems for the stationary magnetohydrodynamic equations with inhomogeneous mixed boundary conditions

DOI10.1134/S0012266107020103zbMath1140.76492MaRDI QIDQ2459762

Yanyan Li

Publication date: 8 November 2007

Published in: Differential Equations (Search for Journal in Brave)

Mathematics Subject Classification ID

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

Related Items (9)

Solvability of an inhomogeneous boundary value problem for the stationary magnetohydrodynamic equations for a viscous incompressible fluid ⋮ Mixed boundary value problems for stationary magnetohydrodynamic equations of a viscous heat-conducting fluid ⋮ Solvability of a mixed boundary value problem for stationary equations of magnetohydrodynamics of a viscous heat-conducting liquid ⋮ Existence of a solution to the steady Magnetohydrodynamics‐Boussinesq system with mixed boundary conditions ⋮ Boundary control problems for the stationary magnetic hydrodynamic equations in the domain with non-ideal boundary ⋮ Stability estimates for the solutions of control problems for the stationary magnetohydrodynamic equations ⋮ Regularity results for a model in magnetohydrodynamics with imposed pressure ⋮ Mixed boundary value problems for steady-state magnetohydrodynamic equations of viscous incompressible fluid ⋮ Solvability of the boundary value problem for stationary magnetohydrodynamic equations under mixed boundary conditions for the magnetic field

Cites Work

• Unnamed Item
• Some remarks on the characterization of the space of tangential traces of \(H(\text{rot}; \Omega)\) and the construction of an extension operator
• The equations of stationary, incompressible magnetohydrodynamics with mixed boundary conditions
• Finite Element Methods for Navier-Stokes Equations
• Solvability of the boundary-value problems for the Boussineq equations with inhomogeneous boundary conditions
• Solvability of a mixed boundary value problem for the stationary Navier-Stokes equations

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