## Topological Methods in Nonlinear Analysis

### Rayleigh-Bénard problem for thermomicropolar fluids

#### Abstract

The two-dimensional Rayleigh-Bénard problem for a thermomicropolar fluids model is considered. The existence of suitable weak solutions which may not be unique, and the existence of the unique strong solution are proved. The global attractor for the m-semiflow associated with weak solutions and the global attractor for semiflow associated with strong solutions are shown to be equal.

#### Article information

Source
Topol. Methods Nonlinear Anal., Volume 52, Number 2 (2018), 477-514.

Dates
First available in Project Euclid: 25 July 2018

Permanent link to this document
https://projecteuclid.org/euclid.tmna/1532484286

Digital Object Identifier
doi:10.12775/TMNA.2018.012

Mathematical Reviews number (MathSciNet)
MR3915648

Zentralblatt MATH identifier
07051677

#### Citation

Kalita, Piotr; Łukaszewicz, Grzegorz; Siemianowski, Jakub. Rayleigh-Bénard problem for thermomicropolar fluids. Topol. Methods Nonlinear Anal. 52 (2018), no. 2, 477--514. doi:10.12775/TMNA.2018.012. https://projecteuclid.org/euclid.tmna/1532484286

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