4.4 Article

Low Regularity Well-Posedness for the 3D Generalized Hall-MHD System

Journal

ACTA APPLICANDAE MATHEMATICAE
Volume 147, Issue 1, Pages 95-111

Publisher

SPRINGER
DOI: 10.1007/s10440-016-0070-5

Keywords

Generalized Hall-MHD system; Local well-posedness; Low regularity

Funding

  1. NSFC [11171154]

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In this paper, we obtain the local well-posedness for the 3D incompressible Hall-magnetohydrodynamics (Hall-MHD) system with Lambda(2 alpha)u and Lambda(2 alpha) B, 0 < alpha <= 1, 1/2 < beta <= 1. Our results improve regularity conditions on the initial data of previous works.

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