Abstract

The present paper addresses itself to the problem of existence and uniqueness of solutions of Stokes flows in micropolar fluid theory using the methods of potential theory. Integral representations for the velocity and microrotation vectors are derived and they lead naturally to the introduction of single-layer and double-layer potentials whose properties are stated. With the aid of these results, necessary and sufficient conditions are generated for the Stokes problem in this microcontinuum fluid mechanics theory.

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