On existence of global classical solutions to the 3D compressible MHD equations with vacuum

DOI10.1186/s13660-022-02753-9zbMath1506.76218OpenAlexW4205656579MaRDI QIDQ2129106

Mingyu Zhang

Publication date: 22 April 2022

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

Full work available at URL: https://doi.org/10.1186/s13660-022-02753-9

zbMATH Keywords

vacuumCauchy problemcompressible magnetohydrodynamic equationsglobal classical solutionsmall density

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Cites Work

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• GLOBAL WEAK SOLUTIONS OF AN INITIAL BOUNDARY VALUE PROBLEM FOR SCREW PINCHES IN PLASMA PHYSICS
• Uniform estimates and stabilization of symmetric solutions of a system of quasilinear equations

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