A regularity criterion of smooth solution for the 3D viscous Hall-MHD equations

DOI10.3934/Math.2018.4.565zbMath1427.35195OpenAlexW2903097267WikidataQ128852751 ScholiaQ128852751MaRDI QIDQ2335296

Yanyan Li

Publication date: 14 November 2019

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2018.4.565

zbMATH Keywords

regularity criterionMorrey spaceHall-MHDBesov space \(\dot B^{-1}_{\infty,\infty}\)

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)

Related Items (4)

On three-dimensional Hall-magnetohydrodynamic equations with partial dissipation ⋮ Logarithmically improved regularity criterion for the 3D Hall-MHD equations ⋮ Inverse boundary-value problem for the equation of longitudinal wave propagation with non-self-adjoint boundary conditions ⋮ Beale-Kato-Majda regularity criterion of smooth solutions for the Hall-MHD equations with zero viscosity

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