December 2020 Global well-posedness of the 3D incompressible Hall-MHD equations for small initial data in certain Besov spaces
Caochuan Ma
Rocky Mountain J. Math. 50(6): 2127-2139 (December 2020). DOI: 10.1216/rmj.2020.50.2127

Abstract

We prove global well-posedness of solution to the 3D incompressible Hall-magnetohydrodynamics (Hall-MHD) equations, where the initial data is in critical Besov space. Since the initial vertical velocity may be large enough, our work improves some recent results in WanZ2,WZ19.

Citation

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Caochuan Ma. "Global well-posedness of the 3D incompressible Hall-MHD equations for small initial data in certain Besov spaces." Rocky Mountain J. Math. 50 (6) 2127 - 2139, December 2020. https://doi.org/10.1216/rmj.2020.50.2127

Information

Received: 26 October 2019; Revised: 23 May 2020; Accepted: 25 May 2020; Published: December 2020
First available in Project Euclid: 5 January 2021

Digital Object Identifier: 10.1216/rmj.2020.50.2127

Subjects:
Primary: 35Q35 , 76N10 , 76W05

Keywords: global well-posedness , Hall-MHD equations , large velocity

Rights: Copyright © 2020 Rocky Mountain Mathematics Consortium

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Vol.50 • No. 6 • December 2020
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