Local well-posedness and low Mach number limit of the compressible magnetohydrodynamic equations in critical spaces | Zendy

Fucai Li | Zendy; Yanmin Mu | Zendy; Dehua Wang | Zendy

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Local well-posedness and low Mach number limit of the compressible magnetohydrodynamic equations in critical spaces

Author(s) -

Fucai Li,

Yanmin Mu,

Dehua Wang

Publication year - 2016

Publication title -

kinetic and related models

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.987

H-Index - 28

eISSN - 1937-5093

pISSN - 1937-5077

DOI - 10.3934/krm.2017030

Subject(s) - magnetohydrodynamic drive , mach number , compressibility , isentropic process , limit (mathematics) , physics , mathematics , magnetohydrodynamics , mathematical analysis , mechanics , magnetic field , quantum mechanics

The local well-posedness and low Mach number limit are considered for themulti-dimensional isentropic compressible viscous magnetohydrodynamic equationsin critical spaces. First the local well-posedness of solution to the viscousmagnetohydrodynamic equations with large initial data is established. Then thelow Mach number limit is studied for general large data and it is proved thatthe solution of the compressible magnetohydrodynamic equations converges tothat of the incompressible magnetohydrodynamic equations as the Mach numbertends to zero. Moreover, the convergence rates are obtained.Comment: 37page

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