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Applicable Analysis
An International Journal
Volume 103, 2024 - Issue 11
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Research Article

Decay estimates of the 3D magneto-micropolar system with applications to L3-strong solutions

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Pages 1903-1921 | Received 16 Aug 2023, Accepted 11 Oct 2023, Published online: 18 Oct 2023
 

Abstract

In this paper, we investigate the well-posedness and large time behavior of solutions to the 3D incompressible magneto-micropolar equations. By virtue of the LpLq estimate obtained through the spectral decomposition of the linearized magneto-micropolar equations, we show the existence and uniqueness of small L3-strong solutions of the equations with small initial data. Then basing on this result, we derive sharp time decay estimates of the L3-strong solutions.

Mathematics Subject Classifications:

Acknowledgments

The authors are grateful to the anonymous referees for the kind suggestions that improved this paper.

Disclosure statement

The authors do not have any relevant financial or non-financial competing interests. On behalf of all authors, the corresponding author states that there is no conflict of interest.

Data availability

Data sharing is not applicable to this article as no datasets were generated or analyzed during the current study.

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