Global large solutions to planar magnetohydrodynamics equations with temperature-dependent coefficients

DOI10.1142/S0219891619500164zbMath1441.35198OpenAlexW2981361383WikidataQ127026753 ScholiaQ127026753MaRDI QIDQ5108360

Zhaoyang Shang, Ya-Chun Li

Publication date: 4 May 2020

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219891619500164

zbMATH Keywords

large initial dataglobal-in-time solutionplanar MHD equationstemperature-dependent coefficient

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) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Classical solutions to PDEs (35A09)

Related Items (5)

Local Strong Solutions to the Full Compressible Navier--Stokes System with Temperature-Dependent Viscosity and Heat Conductivity ⋮ Global well-posedness of the strong solutions to the two-dimensional full compressible magnetohydrodynamics equations with large viscosity ⋮ Global strong solutions to the one-dimensional full compressible liquid crystal equations with temperature-dependent heat conductivity ⋮ Global existence of large solutions to the planar magnetohydrodynamic equations with zero magnetic diffusivity ⋮ Global large solutions to the Cauchy problem of planar magnetohydrodynamics equations with temperature-dependent coefficients

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