Regularity criteria for the magnetohydrodynamic equations with partial viscous terms and the Leray-\(\alpha\)-MHD model
From MaRDI portal
Publication:973900
DOI10.3934/krm.2009.2.293zbMath1189.35250OpenAlexW2049123749MaRDI QIDQ973900
Publication date: 26 May 2010
Published in: Kinetic and Related Models (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/krm.2009.2.293
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)
Related Items (28)
A magnetic regularity criterion for the 2D MHD equations with velocity dissipation ⋮ On regularity criteria for the 2D generalized MHD system ⋮ Regularity results on the Leray-alpha magnetohydrodynamics systems ⋮ On the global well-posedness of the 3D axisymmetric resistive MHD equations ⋮ Local existence for the non-resistive MHD equations in Besov spaces ⋮ Inviscid limit for the full viscous MHD system with critical axisymmetric initial data ⋮ Two regularity criteria to the 2D generalized MHD equations with zero magnetic diffusivity ⋮ Stability for a system of 2D incompressible anisotropic magnetohydrodynamic equations ⋮ Global well-posedness and decay of the 2D incompressible MHD equations with horizontal magnetic diffusion ⋮ The global existence and analyticity of a mild solution to the 3D regularized MHD equations ⋮ A regularity criterion for the 2D MHD system with zero magnetic diffusivity ⋮ Local wellposedness in Sobolev space for the inhomogeneous non-resistive MHD equations on general domain ⋮ Regularity criteria for the 2D MHD system with horizontal dissipation and horizontal magnetic diffusion ⋮ Regularizing model for the 2D MHD equations with zero viscosity ⋮ A regularity criterion for 2D MHD flows with horizontal dissipation and horizontal magnetic diffusion ⋮ Existence and uniqueness for a coupled parabolic-elliptic model with applications to magnetic relaxation ⋮ Global well-posedness for the \(2\frac{1}{2}\)D incompressible magneto-micropolar fluid equations with mixed partial viscosity ⋮ Remarks on regularity criteria for the 2D generalized MHD system in Besov spaces ⋮ Higher order commutator estimates and local existence for the non-resistive MHD equations and related models ⋮ Well-posedness of the upper convected Maxwell fluid in the limit of infinite Weissenberg number ⋮ Regularity criteria for the strong solutions to the Ericksen-Leslie system in \(\mathbb R^3\) ⋮ On approximate solutions of the equations of incompressible magnetohydrodynamics ⋮ Logarithmically improved blow-up criterion for smooth solutions to the Leray-$\alpha $-magnetohydrodynamic equations ⋮ Global Well-posedness of two-dimensional Magnetohydrodynamic Flows with Partial Dissipation and Magnetic Diffusion ⋮ A regularity criterion for the 2D MHD and viscoelastic fluid equations ⋮ Global regularity of 3D generalized incompressible magnetohydrodynamic-\(\alpha\) model ⋮ A new improved regularity criterion of solutions to Leray-𝛼-MHD model and Navier-Stokes equation ⋮ On the uniqueness for the 2D MHD equations without magnetic diffusion
This page was built for publication: Regularity criteria for the magnetohydrodynamic equations with partial viscous terms and the Leray-\(\alpha\)-MHD model