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Research Article | Open Access

On the Cauchy problem of compressible Micropolar fluids subjected to Hall current

School of Mathematics and Statistics, Weifang University, Weifang 261061, China
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Abstract

In this paper, the large-time behavior of global strong solutions is justified for the three dimensional compressible micropolar fluids subjected to Hall current. Both the global existence and the optimal decay rates of strong solutions are obtained when the smooth initial data are sufficiently close to the non-vacuum equilibrium in H1. In addition, the vanishing limit of the Hall coefficient is also justified.

Keywords

micropolar fluidsHall currentoptimal decay ratesvanishing Hall limit
CLC number: 35A01, 35Q35, 76W05

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AIMS Mathematics
Volume 9 Issue 12,
December 2024
Pages 34147-34183
DOI: 10.3934/math.20241627

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Zhang M. On the Cauchy problem of compressible Micropolar fluids subjected to Hall current. AIMS Mathematics, 2024, 9(12): 34147-34183. https://doi.org/10.3934/math.20241627

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Received: 17 October 2024
Revised: 24 November 2024
Accepted: 28 November 2024
Published: 15 December 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)