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Existence and uniqueness of the generalized Poiseuille solution for nonstationary micropolar flow in an infinite cylinder

We consider the nonstationary motion of a viscous incompressible micropolar fluid having a prescribed flux in an infinite cylinder. The global existence and uniqueness result for the generalized time-dependent Poiseuille solution is provided by means of semidiscretization in time and by passing to the limit from discrete approximations.

Initial-boundary value problem ; second-order parabolic system ; existence and uniqueness ; micropolar fluid ; poiseuille flow

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