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

Abstract

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.

Keywords

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