Global regularity of the 2D density-dependent MHD with vacuum

DOI10.1007/s10440-020-00381-3zbMath1466.35298OpenAlexW3118341002MaRDI QIDQ2035836

Yang Liu

Publication date: 25 June 2021

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-020-00381-3

zbMATH Keywords

vacuumglobal solutionMHD equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Strong solutions to PDEs (35D35)

Related Items

Global well-posedness for 2D nonhomogeneous asymmetric fluids with magnetic field and density-dependent viscosity ⋮ Global well-posedness and exponential decay of 2D nonhomogeneous Navier-Stokes and magnetohydrodynamic equations with density-dependent viscosity and vacuum ⋮ Global strong solution to the 2D inhomogeneous incompressible magnetohydrodynamic fluids with density-dependent viscosity and vacuum ⋮ Global well-posedness to the 3D nonhomogeneous magnetohydrodynamic equations with density-dependent viscosity and large initial velocity

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