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Topological Methods in Nonlinear Analysis

Rayleigh-Bénard problem for thermomicropolar fluids
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Rayleigh-Bénard problem for thermomicropolar fluids

Authors

  • Piotr Kalita
  • Grzegorz Łukaszewicz
  • Jakub Siemianowski

Keywords

Rayleigh-Bénard convection, thermomicropolar fluid, global attractor, m-semiflow

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.

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Published

2018-07-08

How to Cite

1.
KALITA, Piotr, ŁUKASZEWICZ, Grzegorz and SIEMIANOWSKI, Jakub. Rayleigh-Bénard problem for thermomicropolar fluids. Topological Methods in Nonlinear Analysis. Online. 8 July 2018. Vol. 52, no. 2, pp. 477 - 514. [Accessed 3 July 2025].
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