A blow-up criterion for the 3D compressible MHD equations

DOI10.3934/cpaa.2012.11.1167zbMath1282.35310OpenAlexW2319944390MaRDI QIDQ1947911

Yi Du, Zujin Zhang, Ming Lu, Zheng-An Yao

Publication date: 29 April 2013

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2012.11.1167

zbMATH Keywords

strong solutionsblow-up criterion3D compressible magnetohydrodynamic equations

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) Blow-up in context of PDEs (35B44)

Related Items (7)

Blowup analysis for two-dimensional viscous compressible, heat-conductive Navier-Stokes equations ⋮ L^∞continuation principle to the non-baratropic non-resistive magnetohydrodynamic equations without heat conductivity ⋮ Serrin-type blowup criterion for viscous, compressible, and heat conducting Navier-Stokes and magnetohydrodynamic flows ⋮ Blow-up criteria for three-dimensional compressible radiation hydrodynamics equations with vacuum ⋮ Blowup of smooth solution for non-isentropic magnetohydrodynamic equations without heat conductivity ⋮ Singularity formation of the compressible non-barotropic flows with zero heat conductivity ⋮ Global regularity for the Cauchy problem of three-dimensional compressible magnetohydrodynamics equations

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