Limiting case for the regularity criterion to the 3-D magneto-hydrodynamics equations

DOI10.1016/j.jde.2012.01.043zbMath1332.35302OpenAlexW2080078642MaRDI QIDQ414835

Zhifei Zhang, Wendong Wang

Publication date: 11 May 2012

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2012.01.043

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (12)

Local interior regularity for the 3D MHD equations in nonendpoint borderline Lorentz space ⋮ The 2D magnetohydrodynamic equations with magnetic diffusion ⋮ Comparing the solution of the time fractional Gross-Pitaevskii (FGP) equation with external potential by analytical and algebraic methods ⋮ Non blow-up criterion for the 3-D magneto-hydrodynamics equations in the limiting case ⋮ Regularity for 3-D MHD Equations in Lorentz Space $L^{3,∞}$ ⋮ A regularity criterion for two-and-half-dimensional magnetohydrodynamic equations with horizontal dissipation and horizontal magnetic diffusion ⋮ An Osgood type regularity criterion for the liquid crystal flows ⋮ On the regularity of weak solutions of the MHD equations in BMO −1 and Ḃ∞,∞−1 ⋮ Refined regularity class of suitable weak solutions to the 3D magnetohydrodynamics equations with an application ⋮ The 3D incompressible magnetohydrodynamic equations with fractional partial dissipation ⋮ A new sufficient condition for local regularity of a suitable weak solution to the MHD equations ⋮ Global Small Solution to the 2D MHD System with a Velocity Damping Term

Cites Work

• The Navier-Stokes equations in the critical Lebesgue space
• Remarks on regularities for the 3D MHD equations
• The Beale-Kato-Majda criterion for the 3D magneto-hydrodynamics equations
• Two regularity criteria for the 3D MHD equations
• On the regularity criterion of weak solution for the 3D viscous magneto-hydrodynamics equations
• Interior regularity criteria for suitable weak solutions of the magnetohydrodynamic equations
• Generalized MHD equations.
• Regularity results for weak solutions of the 3D MHD equations.
• Bounds and new approaches for the 3D MHD equations
• Regularity criteria for the generalized viscous MHD equations
• On the regularity of weak solutions to the magnetohydrodynamic equations
• Inéquations en thermoélasticité et magnétohydrodynamique
• Some mathematical questions related to the mhd equations
• A new proof of the Caffarelli-Kohn-Nirenberg theorem
• Partial regularity of suitable weak solutions of the navier-stokes equations
• L_3,∞-solutions of the Navier-Stokes equations and backward uniqueness
• Regularity Criteria for the Generalized MHD Equations
• Well-posedness for the Navier-Stokes equations
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