Global regularity for the 2D micropolar Rayleigh-B é nard convection system with velocity zero dissipation and temperature critical dissipation

This paper studies the global regularity problem for the 2D micropolar Rayleigh-B e ̵́ nard convection system with velocity zero dissipation, micro-rotation velocity Laplace dissipation and temperature critical dissipation. By introducing a combined quantity and using the technique of Littlewood-Paley decomposition, we establish the global regularity result of solutions to this system.