On the regularity of generalized MHD equations

DOI10.1016/j.jmaa.2009.10.052zbMath1184.35096OpenAlexW1971594289MaRDI QIDQ2267503

Yuwen Luo

Publication date: 1 March 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.10.052

zbMATH Keywords

fractional power of the Laplace operator

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Continuation and prolongation of solutions to PDEs (35B60) Fractional partial differential equations (35R11)

Related Items

Remarks on the regularity criteria for generalized MHD equations, Global well-posedness for the generalized magneto-hydrodynamic equations in the critical Fourier-Herz spaces, A new regularity criterion for the three-dimensional incompressible magnetohydrodynamic equations in the Besov spaces, Remarks on the regularity criteria of generalized MHD and Navier-Stokes systems, Uniqueness of weak solution to the generalized magneto-hydrodynamic system, Fractional Navier–Stokes regularity criterion involving the positive part of the intermediate eigenvalue of the strain matrix, Blow-up criteria for smooth solutions to the generalized 3D MHD equations, Some regularity criteria for the 3D generalized Navier-Stokes equations, A regularity criterion for the critical and supercritical dissipative quasi-geostrophic equations

Cites Work

• Remarks on regularities for the 3D MHD equations
• Regularity criteria for the solutions to the 3D MHD equations in the multiplier space
• Regularity criteria for the 3D MHD equations in terms of the pressure
• Regularity criteria for the 3D generalized MHD equations in terms of vorticity
• Generalized MHD equations.
• Regularity criteria for the generalized viscous MHD equations
• On the regularity of weak solutions to the magnetohydrodynamic equations