On classical solutions to the Cauchy problem of the 2D compressible non-resistive MHD equations with vacuum states

DOI10.1088/1361-6544/aa7e97zbMath1375.35365arXiv1707.05278OpenAlexW3103682959MaRDI QIDQ5368884

Mingtao Chen, Aibin Zang

Publication date: 11 October 2017

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.05278

zbMATH Keywords

vacuumclassical solutionsblowup criterion2D compressible non-resistive MHD equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Blow-up in context of PDEs (35B44) Strong solutions to PDEs (35D35) Classical solutions to PDEs (35A09)

Related Items (7)

On local strong solutions to the 2D Cauchy problem of the compressible non-resistive magnetohydrodynamic equations with vacuum ⋮ Global regularity of 3D nonhomogeneous incompressible micropolar fluids ⋮ Strong solutions to the density-dependent incompressible nematic liquid crystal flows with heat effect ⋮ Singularity formation to the two-dimensional non-resistive compressible magnetohydrodynamic equations in a bounded domain ⋮ Strong solutions to the Cauchy problem of two-dimensional non-barotropic non-resistive magnetohydrodynamic equations with zero heat conduction ⋮ Global stability of large solutions to the 3D nonhomogeneous incompressible MHD equations ⋮ Global strong solution to the 2D inhomogeneous incompressible magnetohydrodynamic fluids with density-dependent viscosity and vacuum

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