Second proof of the global regularity of the two-dimensional MHD system with full diffusion and arbitrary weak dissipation

DOI10.4310/MAA.2018.V25.N2.A1zbMath1405.35170OpenAlexW2907995403WikidataQ128644539 ScholiaQ128644539MaRDI QIDQ1756147

Publication date: 14 January 2019

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

Full work available at URL: https://doi.org/10.4310/maa.2018.v25.n2.a1

zbMATH Keywords

Navier-Stokes equations Besov space global regularity magnetohydrodynamics system fractional Laplacians

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Maxwell equations (35Q61)

Related Items (5)

Global regularity for solutions to 2D generalized MHD equations with multiple exponential upper bound uniformly in time ⋮ Mild ill-posedness in \(L^\infty\) for 2D magnetohydrodynamic system with damping ⋮ Three-dimensional magnetohydrodynamics system forced by space-time white noise ⋮ On the global regularity issue of the two-dimensional magnetohydrodynamics system with magnetic diffusion weaker than a Laplacian ⋮ Strong Feller property of the magnetohydrodynamics system forced by space–time white noise

This page was built for publication: Second proof of the global regularity of the two-dimensional MHD system with full diffusion and arbitrary weak dissipation