On the global regularity issue of the two-dimensional magnetohydrodynamics system with magnetic diffusion weaker than a Laplacian

DOI10.1090/conm/725/14552zbMath1428.35405OpenAlexW2921403011MaRDI QIDQ5236884

Kazuo Yamazaki

Publication date: 16 October 2019

Published in: Nonlinear Dispersive Waves and Fluids (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/723019d7251f371d4383adcdf4b4706377afa90f

zbMATH Keywords

Fourier transformregularityBMO spacefractional Laplacianmagnetohydrodynamics system

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11) Maxwell equations (35Q61) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (2)

Remarks on the three and two and a half dimensional Hall-magnetohydrodynamics system: deterministic and stochastic cases ⋮ Global existence and uniqueness of weak solutions of a Stokes-magneto system with fractional diffusions

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