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Title: Local-in-time existence for the non-resistive incompressible magneto-micropolar fluids (English)
Author: Zhang, Peixin
Author: Zhu, Mingxuan
Language: English
Journal: Applications of Mathematics
ISSN: 0862-7940 (print)
ISSN: 1572-9109 (online)
Volume: 67
Issue: 2
Year: 2022
Pages: 199-208
Summary lang: English
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Category: math
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Summary: We establish the local-in-time existence of a solution to the non-resistive magneto-micropolar fluids with the initial data $u_0\in H^{s-1+\varepsilon }$, $w_0\in H^{s-1}$ and $b_0\in H^{s}$ for $s>\frac {3}{2}$ and any $0<\varepsilon <1$. The initial regularity of the micro-rotational velocity $w$ is weaker than velocity of the fluid $u$. (English)
Keyword: non-resistive magneto-micropolar fluid
Keyword: local existence
MSC: 35A01
MSC: 35Q30
MSC: 76B03
MSC: 76W05
idZBL: Zbl 07511501
idMR: MR4396684
DOI: 10.21136/AM.2021.0111-20
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Date available: 2022-03-25T08:22:40Z
Last updated: 2022-09-06
Stable URL: http://hdl.handle.net/10338.dmlcz/149566
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