On the global existence of classical solutions for compressible magnetohydrodynamic equations

DOI10.1007/s11040-019-9329-1zbMath1434.35110arXiv2003.08065OpenAlexW3021301357WikidataQ126387397 ScholiaQ126387397MaRDI QIDQ2294094

Yang Liu

Publication date: 10 February 2020

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.08065

zbMATH Keywords

vacuumCauchy problemcompressible magnetohydrodynamic equationsglobal classical solutionlarge initial velocity

Mathematics Subject Classification ID

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 compressible fluids and gas dynamics (76N10)

Related Items (1)

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

Cites Work

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• Global Classical Solutions to 3D Compressible Magnetohydrodynamic Equations with Large Oscillations and Vacuum
• Global well-posedness of classical solutions with large oscillations and vacuum to the three-dimensional isentropic compressible Navier-Stokes equations
• On strong solutions to the Cauchy problem of the two-dimensional compressible magnetohydrodynamic equations with vacuum
• Global Existence for a Class of Large Solutions to Three-Dimensional Compressible Magnetohydrodynamic Equations with Vacuum
• Uniform estimates and stabilization of symmetric solutions of a system of quasilinear equations

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