The micropolar equations are a useful generalization of the classical Navier-Stokes model for fluids with micro-structure. We prove the existence of global and strong solutions to these equations in cylindrical domains in $\mathbb{R}^3$. We do not impose any restrictions on the magnitude of the initial and external data but we require that they cannot change in the $x_3$-direction too fast.
Long-time behavior of micropolar fluid equations in cylindrical domains
Global existence and uniqueness for the Lake equations with vanishing topography : elliptic estimates for degenerate equations
Fractional Poincaré inequalities on cylindrical domains
![QR code for arXiv:1205.4507 [math.AP]](http://oss.arxitics.com/images/favicon.svg)