Applications of Mathematics, Vol. 66, No. 4, pp. 619-639, 2021
Local well-posedness for a two-phase model with magnetic field and vacuum
Xiuhui Yang
Received September 3, 2019. Published online May 28, 2021.
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 $\Omega\subset\mathbb{R}^3$ without the standard compatibility conditions.
Keywords: two-phase flow; magnetic field; vacuum; local well-posedness
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Affiliations: Xiuhui Yang, Department of Mathematics, College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu 2100016, P. R. China, e-mail: xhyang@nuaa.edu.cn