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- W181770816 abstract "We study a two fluid system which models the motion of a charged fluid with Rayleigh friction, and in the presence of an electro-magnetic field satisfying Maxwell's equations. We study the well-posdness of the system in both space dimensions two and three. Regardless of the size of the initial data, we first prove the global well-posedness of the Cauchy problem when the space dimension is two. However, in space dimension three, we construct global weak-solutions `a la Leray, and we prove the local well-posedness of Kato-type solutions. These solutions turn out to be global when the initial data are sufficiently small. Our results extend Giga-Yoshida (1984) ones to the space dimension two, and improve them in terms of requiring less regularity on the velocity fields." @default.
- W181770816 created "2016-06-24" @default.
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- W181770816 date "2014-11-04" @default.
- W181770816 modified "2023-09-26" @default.
- W181770816 title "Global well posedness for a two-fluid model" @default.
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- W181770816 doi "https://doi.org/10.48550/arxiv.1411.0917" @default.
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