Well-posedness of the two-phase flow problem in incompressible MHD | Zendy

Changyan Li | Zendy; Hui Li | Zendy

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Well-posedness of the two-phase flow problem in incompressible MHD

Author(s) -

Changyan Li,

Hui Li

Publication year - 2021

Publication title -

discrete and continuous dynamical systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.289

H-Index - 70

eISSN - 1553-5231

pISSN - 1078-0947

DOI - 10.3934/dcds.2021090

Subject(s) - magnetohydrodynamics , compressibility , physics , flow (mathematics) , magnetic field , ideal (ethics) , instability , mechanics , phase (matter) , stability (learning theory) , incompressible flow , magnetohydrodynamic drive , mathematics , classical mechanics , mathematical analysis , computer science , quantum mechanics , philosophy , epistemology , machine learning

In this paper, we study the two phase flow problem in the ideal incompressible magnetohydrodynamics. We propose a Syrovatskij type stability condition, and prove the local well-posedness of the two phase flow problem with initial data satisfies such condition. This result shows that the magnetic field has a stabilizing effect on Kelvin-Helmholtz instability even the fluids on each side of the free interface have different densities.

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