Global well-posedness for the incompressible MHD equations with variable viscosity and conductivity

DOI10.1016/j.jmaa.2016.10.059zbMath1354.35093OpenAlexW2548068061MaRDI QIDQ342935

Fei Chen, Yongsheng Li, Yong-Ye Zhao

Publication date: 18 November 2016

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.10.059

zbMATH Keywords

strong solutionsglobal existencelarge-time behaviorincompressible MHD equationsvariable viscosity and conductivity

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Strong solutions to PDEs (35D35)

Related Items (7)

Regularity criteria for the incompressible magnetohydrodynamic flows with density-dependent viscosity coefficient ⋮ Existence of a solution to the non-steady magnetohydrodynamics-Boussinesq system with mixed boundary conditions ⋮ Some blow-up criteria in terms of pressure for the 3D viscous MHD equations ⋮ The well-posedness for the Cauchy problem of the double-diffusive convection system ⋮ A scaling invariant regularity criterion for the 3D incompressible magneto-hydrodynamics equations ⋮ A regularity criterion for the 3D incompressible magneto-hydrodynamics equations ⋮ Global well-posedness to the 3D nonhomogeneous magnetohydrodynamic equations with density-dependent viscosity and large initial velocity

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