On a problem of magnetohydrodynamics in a multi-connected domain

DOI10.1016/j.na.2010.09.002zbMath1402.35227OpenAlexW2071629934MaRDI QIDQ608400

Vsevolod A. Solonnikov, Sun-ra J. N. Mosconi

Publication date: 25 November 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.09.002

zbMATH Keywords

stabilityNavier-Stokes equationsMaxwell equationsHodge decompositionmagnetohydrodynamics

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items

Inverse problem for non-stationary system of magnetohydrodynamics ⋮ The index of some mixed order Dirac type operators and generalised Dirichlet-Neumann tensor fields ⋮ On the proof of the solvability of a linear problem arising in magnetohydrodynamics with the method of integral equations ⋮ On some stationary problems of magnetohydrodynamics in multi-connected domains ⋮ Free boundary problem of magnetohydrodynamics ⋮ \(L_p\)-theory of free boundary problems of magnetohydrodynamics in multi-connected domains ⋮ On the free boundary problem of magnetohydrodynamics ⋮ On the stability of uniformly rotating liquid in a weak magnetic field ⋮ Solvability of a free boundary problem of magnetohydrodynamics in an infinite time interval ⋮ $L_{p}$-estimates of the solution of a linear problem arising in magnetohydrodynamics

Cites Work

• Unnamed Item
• On estimates for volume and surface potentials in domains with boundary of class \(W_{2}^{l}\)
• About an initial-boundary value problem from magneto-hydrodynamics
• Some problems of vector analysis and generalized formulations of boundary-value problems for the Navier-Stokes equations
• The linearization principle and invariant manifolds for problems of magnetohydrodynamics
• An existence result for partially regular weak solutions of certain abstract evolution equations, with an application to magneto-hydrodynamics
• About the equations of non-stationary magneto-hydrodynamics
• Hodge decomposition. A method for solving boundary value problems
• About the equations of non-stationary magneto-hydrodynamics with non-conducting boundaries
• Inéquations en thermoélasticité et magnétohydrodynamique
• Some mathematical questions related to the mhd equations
• Differential forms on riemannian manifolds
• A Variational Method in the Theory of Harmonic Integrals, II
• On the Ohm–Navier–Stokes system in magnetohydrodynamics
• Generalized Sobolev spaces and their application to boundary problems for partial differential equations
• Electromagnetic Theory and Computation