On local strong solutions to the Cauchy problem of the two-dimensional full compressible magnetohydrodynamic equations with vacuum and zero heat conduction

DOI10.1016/j.nonrwa.2016.02.007zbMath1342.35262OpenAlexW2310639102MaRDI QIDQ282042

F. Blanchet-Sadri, M. Dambrine

Publication date: 11 May 2016

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

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2016.02.007

zbMATH Keywords

vacuumCauchy problemstrong solutionscompressible magnetohydrodynamic equationstwo-dimensional spacezero heat-conduction

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) Strong solutions to PDEs (35D35)

Related Items (6)

Regularity and uniqueness for the 3D compressible magnetohydrodynamic equations ⋮ Singularity formation to the 2D Cauchy problem of nonbarotropic magnetohydrodynamic equations without heat conductivity ⋮ Time-periodic solution to the compressible viscous quantum magnetohydrodynamic model ⋮ Stability near equilibrium to the full compressible magnetohydrodynamic equations ⋮ Global well-posedness and exponential decay rates of the strong solutions to the two-dimensional full compressible magnetohydrodynamics equations with vacuum in some class of large initial data ⋮ Strong solutions to the Cauchy problem of two-dimensional non-barotropic non-resistive magnetohydrodynamic equations with zero heat conduction

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