Global existence of strong solutions to micropolar equations in cylindrical domains

2012/05/21 by Nowakowski, B.
#35Q30 #76D05 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1205.4507

Abstract

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 ℝ³. We do not impose any restrictions on the magnitude of the initial and external data but we require that they cannot change in the x₃-direction too fast.

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