Global existence and exponential decay of strong solutions for the 3D incompressible MHD equations with density-dependent viscosity coefficient

DOI10.1007/s00033-019-1157-4zbMath1420.35249OpenAlexW2953865028WikidataQ115609390 ScholiaQ115609390MaRDI QIDQ2001917

Yang Liu

Publication date: 11 July 2019

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-019-1157-4

zbMATH Keywords

vacuumstrong solutionsexponential decaydensity-dependent viscosityincompressible MHD

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) A priori estimates in context of PDEs (35B45) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Strong solutions to PDEs (35D35)

Related Items (8)

Liouville-type theorems for the stationary inhomogeneous incompressible MHD equations ⋮ Global well-posedness for 2D nonhomogeneous asymmetric fluids with magnetic field and density-dependent viscosity ⋮ Global existence and large time behavior of strong solutions for 3D nonhomogeneous heat-conducting magnetohydrodynamic equations ⋮ Global strong solution and exponential decay for nonhomogeneous Navier-Stokes and magnetohydrodynamic equations ⋮ Global regularity of the 2D density-dependent MHD with vacuum ⋮ Global well-posedness and exponential decay of 2D nonhomogeneous Navier-Stokes and magnetohydrodynamic equations with density-dependent viscosity and vacuum ⋮ Global well-posedness to the 3D nonhomogeneous magnetohydrodynamic equations with density-dependent viscosity and large initial velocity ⋮ Liouville-type theorems for the stationary incompressible inhomogeneous Hall-MHD and MHD equations

Cites Work

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