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Global well‐posedness of classical solutions to 3D compressible magnetohydrodynamic equations with large potential force
Author(s) -
Lin Zhilin,
Huang Bingyuan,
Huang Jinrui
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5369
Subject(s) - magnetohydrodynamic drive , isentropic process , compressibility , mathematics , initial value problem , magnetohydrodynamics , cauchy problem , flow (mathematics) , mathematical analysis , energy method , compressible flow , physics , magnetic field , mechanics , geometry , quantum mechanics
We consider the Cauchy problem of isentropic compressible magnetohydrodynamic equations with large potential force in R 3 . When the initial data ( ρ 0 , u 0 , H 0 ) is of small energy, we investigate the global well‐posedness of classical solutions where the flow density is allowed to contain vacuum states.

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