Global unique solvability of 3D MHD equations in a thin periodic domain

DOI10.1016/j.jmaa.2008.05.088zbMath1149.76055OpenAlexW2050877746MaRDI QIDQ936587

Igor D. Chueshov

Publication date: 14 August 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.05.088

zbMATH Keywords

Sobolev spacestrong solutions\(L(2)\) space

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (4)

Limit stationary measures of the stochastic magnetohydrodynamic system in a 3D thin domain ⋮ Some blow-up criteria in terms of pressure for the 3D viscous MHD equations ⋮ A scaling invariant regularity criterion for the 3D incompressible magneto-hydrodynamics equations ⋮ A regularity criterion for the 3D incompressible magneto-hydrodynamics equations

Cites Work

• On the regularity of the Navier-Stokes equation in a thin periodic domain
• Navier-Stokes equations in 3D thin domains with Navier friction boundary condition
• Stochastic 3D Navier-Stokes equations in a thin domain and its \(\alpha \)-approximation
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• Magnetohydrodynamics. Transl. from the French by A. F. Wright, typeset by C. Philippe
• Interface boundary value problem for the Navier-Stokes equations in thin two-layer domains
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• Large-eigenvalue global existence and regularity results for the Navier-Stokes equation
• Random kick-forced 3D Navier-Stokes equations in a thin domain
• Inéquations en thermoélasticité et magnétohydrodynamique
• Some mathematical questions related to the mhd equations
• The 3D navier-stokes equations seen as a perturbation of the 2D navier-stokes equations
• Navier-Stokes Equations on Thin 3D Domains. I: Global Attractors and Global Regularity of Solutions
• Navier-Stokes equations in thin 3D domains with Navier boundary conditions
• On fractional powers of the Stokes operator
• Some results on the Navier-Stokes equations in thin 3D domains
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