Regularity criteria for a Lagrangian-averaged magnetohydrodynamic-\(\alpha \) model

DOI10.1016/j.na.2010.10.014zbMath1218.35058OpenAlexW2029534283MaRDI QIDQ622414

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.2010.10.014

zbMATH Keywords

Besov spaceLAMHD-\(\alpha \) model

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (6)

Global well-posedness for a family of MHD-alpha-like models ⋮ Pullback attractor of a three dimensional globally modified Cahn–Hilliard-Navier–Stokes model ⋮ Theory for the rotational deconvolution model of turbulence with fractional regularization ⋮ Global well-posedness for certain density-dependent modified-Leray-\(\alpha \) models ⋮ On regularity criteria for the three-dimensional micropolar fluid equations in the critical Morrey-Campanato space ⋮ Logarithmically improved blow-up criterion for smooth solutions to the Leray-$\alpha $-magnetohydrodynamic equations

Cites Work

• Remarks on regularities for the 3D MHD equations
• On the interior regularity of weak solutions of the Navier-Stokes equations
• The Beale-Kato-Majda criterion for the 3D magneto-hydrodynamics equations
• A new regularity criterion for weak solutions to the viscous MHD equations in terms of the vorticity field
• Regularity criteria for the solutions to the 3D MHD equations in the multiplier space
• The Camassa-Holm equations and turbulence
• Regularity criteria for the 3D MHD equations in terms of the pressure
• The Euler-Poincaré equations and semidirect products with applications to continuum theories
• The critical Sobolev inequalities in Besov spaces and regularity criterion to some semi-linear evolution equations
• A new regularity class for the Navier-Stokes equations in \(\mathbb{R}^ n\)
• Regularity criteria for the generalized viscous MHD equations
• On the regularity of weak solutions to the magnetohydrodynamic equations
• Interior regularity of weak solutions of the time-dependent Navier-Stokes equation
• Regularity Criteria for the Viscous Camassa-Holm Equations
• Analytical study of certain magnetohydrodynamic-α models
• A connection between the Camassa–Holm equations and turbulent flows in channels and pipes
• Oscillating Patterns in Some Nonlinear Evolution Equations
• On partial regularity results for the navier-stokes equations
• Commutator estimates and the euler and navier-stokes equations
• Camassa-Holm Equations as a Closure Model for Turbulent Channel and Pipe Flow
• Global well–posedness for the Lagrangian averaged Navier–Stokes (LANS–α) equations on bounded domains
• Interpolation inequalities in Besov spaces
• On a Leray–α model of turbulence
• A modified-Leray-α subgrid scale model of turbulence
• Lagrangian averages, averaged Lagrangians, and the mean effects of fluctuations in fluid dynamics
• The three dimensional viscous Camassa-Holm equations, and their relation to the Navier-Stokes equations and turbulence theory

This page was built for publication: Regularity criteria for a Lagrangian-averaged magnetohydrodynamic-\(\alpha \) model