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