Global regularity for the 2D micropolar equations with fractional dissipation
Global regularity for the 2D micropolar equations with fractional dissipation
Micropolar equations, modeling micropolar fluid flows, consist of coupled equations obeyed by the evolution of the velocity $ u$ and that of the microrotation $ w$. This paper focuses on the two-dimensional micropolar equations with the fractional dissipation $ (-Δ)^{α} u$ and $ (-Δ)^{β}w$, where $ 0<α, β<1$. The goal …