On the fundamental solutions for micropolar fluid-fluid mixtures under steady state vibrations

Abstract This paper deals with the theory of mixtures which have as constituents two micropolar incompressible fluids. First, using a specific algorithm, a Galerkin type representation of solution is given for the linearized two-dimensional dynamical problem. Then, the steady-state vibration problem is considered and uniqueness theorems are established for both bounded and unbounded domains. Finally, the Galerkin type representation is used to construct the fundamental solution for two-dimensional steady-state vibration problem.

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