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Research Article | Open Access

Global well-posedness of the 3D nonlinearly damped Boussinesq magneto-micropolar system without heat diffusion

Xiuli Xu1( ), Lian Yang2
College of Big Data and Software Engineering, Zhejiang Wanli University, Zhejiang 315107, China
School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China
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Abstract

This paper establishes the global well-posedness of strong solutions to the three dimensional damped Boussinesq magneto-micropolar system with zero heat diffusion for large initial data. We prove that the nonlinear damping term | u | β − 1 u, for β ≥ 4, ensures sufficient regularity to establish the global well-posedness of the system.

Keywords

global well-posednessBoussinesq magneto-micropolar systemstrong solutions

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Electronic Research Archive
Volume 33 Issue 4,
April 2025
Pages 2285-2294
DOI: 10.3934/era.2025100

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Cite this article:
Xu X, Yang L. Global well-posedness of the 3D nonlinearly damped Boussinesq magneto-micropolar system without heat diffusion. Electronic Research Archive, 2025, 33(4): 2285-2294. https://doi.org/10.3934/era.2025100

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Received: 19 February 2025
Revised: 26 March 2025
Accepted: 01 April 2025
Published: 15 April 2025
©2025 the Author(s), licensee AIMS Press.

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