Abstract

The equations of incompressible micropolar flow are a coupled system of vector differential equations involving the two basic vectors, viz. the velocity v ̄ and the microrotation v ̄ of the fluid elements. Let Ω 0 be a spatial domain which is bounded, in part, by a planar region Σ 0. An energytype functional of solutions of the flow equations of micropolar fluids is defined. It is shown that this functional decays exponentially in the distance from a fixed reference plane.

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