Local well-posedness for the Hall-MHD system in optimal Sobolev spaces
نویسندگان
چکیده
We show that the viscous resistive magnetohydrodynamics system with Hall effect is locally well-posed in Hs(R3)×Hs+1??(R3) s>12 and any small enough ?>0 such s??>12. This space to date largest local well-posedness class of Sobolev spaces for system. It also optimal according predominant scalings two equations
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2021
ISSN: ['1090-2732', '0022-0396']
DOI: https://doi.org/10.1016/j.jde.2021.04.019