Rayleigh-Bénard problem for thermomicropolar fluids

Piotr Kalita, Grzegorz Łukaszewicz, Jakub Siemianowski

DOI: http://dx.doi.org/10.12775/TMNA.2018.012

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.

Keywords


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

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