Large time behaviors of strong solutions to magnetohydrodynamic equations with free boundary and degenerate viscosity

DOI10.1063/1.5038584zbMath1395.76109OpenAlexW2889528727MaRDI QIDQ4586476

Peter Wittwer, Pan Shi, YaoBin Ou

Publication date: 13 September 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5038584

Mathematics Subject Classification ID

Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Free boundary problems for PDEs (35R35) Other free boundary flows; Hele-Shaw flows (76D27)

Related Items (7)

Unilateral rigidity from infinity for nonlinear Alfvén waves in ideal magnetohydrodynamics ⋮ Singular limit of planar magnetohydrodynamic equations with vacuum free boundary ⋮ Global wellposedness and asymptotic behavior of axisymmetric strong solutions to the vacuum free boundary problem of isentropic compressible Navier-Stokes equations ⋮ Global existence of large solutions to the planar magnetohydrodynamic equations with zero magnetic diffusivity ⋮ Global wellposedness of vacuum free boundary problem of isentropic compressible magnetohydrodynamic equations with axisymmetry ⋮ Energy conservation for the nonhomogeneous incompressible ideal Hall-MHD equations ⋮ Global axisymmetric classical solutions of full compressible magnetohydrodynamic equations with vacuum free boundary and large initial data

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