Global Cauchy problem for a 2D Leray-\(\alpha \)-MHD model with zero viscosity

DOI10.1016/j.na.2010.10.005zbMath1205.35216OpenAlexW2012970299MaRDI QIDQ622404

Jishan Fan, Yong Zhou

Publication date: 31 January 2011

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.2010.10.005

zbMATH Keywords

global regularityzero viscosityLeray-\(\alpha \)-MHD

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items

Time decay rates for the generalized MHD-α equations in Sobolev–Gevrey spaces, Regularity results on the Leray-alpha magnetohydrodynamics systems, Global regularity of 2D incompressible Leray-alpha-MHD equations with only magnetic diffusion, Global Existence and Time-decay Rates of Solutions to 2D Magneto-micropolar Fluid Equations with Partial Viscosity, Global regularity of 2D Leray-alpha regularized incompressible magneto-micropolar equations, Global regularity for the 2D incompressible MHD-\(\alpha\) system without full dissipation and magnetic diffusions, Logarithmically extended global regularity result of Lans-alpha MHD system in two-dimensional space, Pullback attractor of a three dimensional globally modified Cahn–Hilliard-Navier–Stokes model, On global regular solutions to magnetohydrodynamics in axi-symmetric domains, Global well-posedness of 3D magneto-micropolar fluid equations with mixed partial viscosity near an equilibrium

Cites Work

• BKM's criterion and global weak solutions for magnetohydrodynamics with zero viscosity
• Global classical solutions for MHD system
• Weak and classical solutions of the two-dimensional magnetohydrodynamic equations
• On critical cases of Sobolev's inequalities
• Analytical study of certain magnetohydrodynamic-α models
• Commutator estimates and the euler and navier-stokes equations
• Nonlinear Schrödinger evolution equations