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Local well-posedness for a two-phase model with magnetic field and vacuum

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Abstract

This paper proves the local well-posedness of strong solutions to a two-phase model with magnetic field and vacuum in a bounded domain Ω ⊂ ℝ3 without the standard compatibility conditions.

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Correspondence to Xiuhui Yang.

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The research has been supported by the Natural Science Foundation of China (Grant No. 11671193).

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Yang, X. Local well-posedness for a two-phase model with magnetic field and vacuum. Appl Math 66, 619–639 (2021). https://doi.org/10.21136/AM.2021.0222-19

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  • DOI: https://doi.org/10.21136/AM.2021.0222-19

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