Micropolar meets Newtonian. The Rayleigh–Bénard problem

On relation between attractors for single and multivalued semiflows for a certain class of PDEs

“…Study of thermal processes in those fluids leads to the so-called thermomicropolar fluid model, introduced in [21]. A simplified version of this model was studied in [35,36], and, recently, in [22], cf. also Straughan et al [31,34].…”

Global Regularity for the 2d Micropolar Rayleigh-B\'{E}Nard Convection System with Velocity Critical Dissipation and Temperature Zero Dissipation

“…In this paper, we consider a mathematical model depicting in the framework of the Boussinesq approximation, the heat convection in the micropolar fluid [14,15,20], which is called micropolar Rayleigh-Bénard convection system. The micropolar Rayleigh-Bénard convection system is a coupled system, including the micropolar equation and Rayleigh-Bénard equation.…”

Stability of the 2D anisotropic micropolar Rayleigh–Bénard problem with one direction dissipation

“…$$$ \mu $$$, $$$ \nu $$$, $$$ \chi $$$, and $$$ \kappa $$$ are the kinematic viscosity, the angular viscosity, the vortex viscosity, and the thermal diffusivity, respectively. The micropolar Rayleigh–Bénard problem was used to model some important physical phenomena such as the behavior of the micropolar fluid layer filling the region between two rigid surfaces heated from below (see, e.g., earlier studies [1–3]).…”