A LOGARITHMALLY IMPROVED BLOW-UP CRITERION OF SMOOTH SOLUTIONS FOR THE THREE-DIMENSIONAL MHD EQUATIONS

DOI10.1142/S0129167X12500279zbMath1234.35203OpenAlexW2073085138MaRDI QIDQ3225347

Yu-Zhu Wang, Heng-Jun Zhao, Yin-Xia Wang

Publication date: 19 March 2012

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

Full work available at URL: https://doi.org/10.1142/s0129167x12500279

zbMATH Keywords

smooth solutionsMHD equationsblow-up criterion

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Blow-up in context of PDEs (35B44)

Related Items (9)

Blow-up criteria of smooth solutions to the three-dimensional magneto-micropolar fluid equations ⋮ A logarithmically improved blow-up criterion for smooth solutions to the 3D micropolar fluid equations ⋮ Global solutions to three-dimensional generalized MHD equations with large initial data ⋮ Asymptotic decay of solutions to 3D MHD equations ⋮ On the blow-up criterion of smooth solutions for Hall-magnetohydrodynamics system with partial viscosity ⋮ Global existence of solutions for the thermoelastic Bresse System ⋮ Blow-up criteria for smooth solutions to the generalized 3D MHD equations ⋮ Global well-posedness of the three dimensional magnetohydrodynamics equations ⋮ Remark on an improved regularity criterion for the 3D MHD equations

Cites Work

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