The nonstationary flows of micropolar fluids with thermal convection: An iterative approach

Charles Amorim; Miguel Loayza; Marko A. Rojas-Medar

doi:10.3934/dcdsb.2020193

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2021, Volume 26, Issue 5: 2509-2535. Doi: 10.3934/dcdsb.2020193

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The nonstationary flows of micropolar fluids with thermal convection: An iterative approach

1.
Departamento de Matemática, Universidade Federal de Pernambuco, Recife, PE, Brazil
2.
Departamento de Matemática, Universidad de Tarapacá, Arica, Chile

^* Corresponding author: miguel@dmat.ufpe.br
^* Corresponding author: miguel@dmat.ufpe.br

Received: September 30, 2019

Revised: December 31, 2019

Early access: June 2020

Published: May 2021

This work was partially supported by CAPES-PRINT, 88887.311962/2018-00.
Charles Amorim was supported by CNPQ/Brazil

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Abstract

We consider a problem that describes the motion of a viscous incompressible and heat-conducting micropolar fluids in a bounded domain $ \Omega \subset \mathbb{R}^3 $. We use an iterative method to analyze the existence, uniqueness, and regularity of the solutions. We also determine the convergence rates in several norms.

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Mathematics Subject Classification: Primary: 35Q35, 65M12, 65M15, 76D03; Secondary: 76R05, 76M99.

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References

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