Global strong solution to 3D full compressible magnetohydrodynamic flows with vacuum at infinity
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Publication:825024
DOI10.1007/s00033-021-01639-yzbMath1480.76156OpenAlexW3217724322WikidataQ114231817 ScholiaQ114231817MaRDI QIDQ825024
Xiaofeng Hou, Hongyun Peng, Mi'na Jiang
Publication date: 17 December 2021
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-021-01639-y
a priori estimatevacuum statecompressible magnetohydrodynamicsunique global strong solutiondensity boundednessSerrin bow-up criterion
PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
Related Items (7)
Global strong solution for 3D compressible heat-conducting magnetohydrodynamic equations revisited ⋮ Global well-posedness of the strong solutions to the two-dimensional full compressible magnetohydrodynamics equations with large viscosity ⋮ Local-in-time well-posedness theory for the inhomogeneous MHD boundary layer equations without resistivity in lower regular Sobolev space ⋮ Global strong solutions to the compressible magnetohydrodynamic equations with slip boundary conditions in 3D bounded domains ⋮ Entropy-bounded solutions to the 3D compressible heat-conducting magnetohydrodynamic equations with vacuum at infinity ⋮ 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 ⋮ Local well-posedness for the 2D Cauchy problem of full compressible magnetohydrodynamic equations with vacuum at infinity
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