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

Xiuli Xu; Lian Yang; Xiuli Xu; Lian Yang

doi:10.3934/era.2025100

Electronic Research Archive

2025, Volume 33, Issue 4: 2285-2294. doi: 10.3934/era.2025100

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Research article

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

Xiuli Xu ^{1
,
,},
Lian Yang ²

1.
College of Big Data and Software Engineering, Zhejiang Wanli University, Zhejiang 315107, China
2.
School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China

Received: 19 February 2025 Revised: 26 March 2025 Accepted: 01 April 2025 Published: 18 April 2025

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|^{ \beta-1} u $, for $ \beta \geq 4 $, ensures sufficient regularity to establish the global well-posedness of the system.
- global well-posedness,
- Boussinesq magneto-micropolar system,
- strong solutions
Citation: Xiuli Xu, Lian Yang. Global well-posedness of the 3D nonlinearly damped Boussinesq magneto-micropolar system without heat diffusion[J]. Electronic Research Archive, 2025, 33(4): 2285-2294. doi: 10.3934/era.2025100

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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|^{ \beta-1} u $, for $ \beta \geq 4 $, ensures sufficient regularity to establish the global well-posedness of the system.

References

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