A regularity criterion of strong solutions to the 2D compressible magnetohydrodynamic equations

DOI10.1016/j.nonrwa.2016.01.011zbMath1338.35088arXiv1501.05417OpenAlexW2963034037MaRDI QIDQ282005

Teng Wang

Publication date: 11 May 2016

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.05417

zbMATH Keywords

vacuumCauchy problem

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Strong solutions to PDEs (35D35)

Related Items (7)

Global strong solutions to the Cauchy problem of the planar non-resistive magnetohydrodynamic equations with large initial data ⋮ On classical solutions to the Cauchy problem of the 2D compressible non-resistive MHD equations with vacuum states ⋮ Singularity formation of the compressible non-barotropic flows with zero heat conductivity ⋮ A blowup criterion for the 2D \(k\)-\(\epsilon\) model equations for turbulent flows ⋮ Singularity formation to the two-dimensional non-resistive compressible magnetohydrodynamic equations in a bounded domain ⋮ On formation of singularity of the full compressible magnetohydrodynamic equations with zero heat conduction ⋮ Global strong solutions of a 2-D new magnetohydrodynamic system.

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