Geodesic
Local well-posedness for a two-phase model with magnetic field and vacuum
Applications of Mathematics, Tome 66 (2021) no. 4, pp. 619-639.

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This paper proves the local well-posedness of strong solutions to a two-phase model with magnetic field and vacuum in a bounded domain $\Omega \subset \mathbb {R}^3$ without the standard compatibility conditions.
DOI : 10.21136/AM.2021.0222-19
Classification : 35D35, 35Q35, 76N10, 76T10
Keywords: two-phase flow; magnetic field; vacuum; local well-posedness 
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     title = {Local well-posedness for a two-phase model with magnetic field and vacuum},
     journal = {Applications of Mathematics},
     pages = {619--639},
     publisher = {mathdoc},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.2021.0222-19/}
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Yang, Xiuhui. Local well-posedness for a two-phase model with magnetic field and vacuum. Applications of Mathematics, Tome 66 (2021) no. 4, pp. 619-639. doi : 10.21136/AM.2021.0222-19. http://geodesic.mathdoc.fr/articles/10.21136/AM.2021.0222-19/

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