Global existence and exponential stability for the micropolar fluid system.(English)Zbl 1155.76009

Summary: We consider the micropolar fluid system in a bounded domain of $$\mathbb{R}^{3}$$ and prove the existence and uniqueness of a global strong solution with initial data being a perturbation of stationary solution, whose existence is also obtained. We prove that these solutions converge uniformly to stationary solutions with exponential decay rate. The technique of our analysis is the semigroup approach in $$L^{p}$$-spaces.

MSC:

 76A05 Non-Newtonian fluids 35Q35 PDEs in connection with fluid mechanics
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