On the global well-posedness to the 3-D incompressible anisotropic magnetohydrodynamics equations

DOI10.3934/dcds.2016055zbMath1354.35073OpenAlexW2504673628MaRDI QIDQ321569

Gao Cheng Yue, Cheng-Kui Zhong

Publication date: 14 October 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2016055

zbMATH Keywords

well-posednessBesov spacesanisotropic Littlewood-Paley theoryMHD equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Maximal functions, Littlewood-Paley theory (42B25) Navier-Stokes equations (35Q30) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

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Large time behavior of the solutions to 3D incompressible MHD system with horizontal dissipation or horizontal magnetic diffusion

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