Global well-posedness for a family of MHD-alpha-like models

DOI10.1155/2011/408732zbMath1223.76121OpenAlexW2105380165WikidataQ58690338 ScholiaQ58690338MaRDI QIDQ642759

XiaoWei He

Publication date: 27 October 2011

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/408732

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (1)

On the generalized Magnetohydrodynamics-\(\alpha\) equations with fractional dissipation in Lei-Lin and Lei-Lin-Gevrey spaces

Cites Work

• On the Cauchy problem for a Leray-\(\alpha \)-MHD model
• Regularity criteria for a Lagrangian-averaged magnetohydrodynamic-\(\alpha \) model
• Large eddy simulation for turbulent magnetohydrodynamic flows
• Regularity criteria for a magnetohydrodynamic-\(\alpha\) model
• Analytical study of certain magnetohydrodynamic-α models
• Global well-posedness for two modified-Leray-α-MHD models with partial viscous terms
• Estimates for the LANS-$\alpha$, Leray-$\alpha$ and Bardina models in terms of a Navier-Stokes Reynolds number
• Commutator estimates and the euler and navier-stokes equations

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