# American Institute of Mathematical Sciences

## 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

Received  October 2019 Revised  January 2020 Published  June 2020

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

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.

Citation: Charles Amorim, Miguel Loayza, Marko A. Rojas-Medar. The nonstationary flows of micropolar fluids with thermal convection: An iterative approach. Discrete & Continuous Dynamical Systems - B, doi: 10.3934/dcdsb.2020193
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