Electron. J. Differential Equations, Vol. 2018 (2018), No. 148, pp. 1-26.

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

Michal Benes, Igor Pazanin, Marko Radulovic

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.

Submitted February 17, 2018. Published July 31, 2018.
Math Subject Classifications: 35A05, 35D05, 35B45, 35K15, 35Q30, 76D05.
Key Words: Initial-boundary value problem; second-order parabolic system; existence and uniqueness; micropolar fluid; poiseuille flow.

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Michal Benes
Department of Mathematics, Faculty of Civil Engineering
Czech Technical University in Prague
Thakurova 7, 166 29 Prague 6, Czech Republic
email: michal.benes@cvut.cz
Igor Pazanin
Department of Mathematics, Faculty of Science
University of Zagreb
Bijenicka 30, 10000 Zagreb, Croatia
email: pazanin@math.hr
Marko Radulovic
Department of Mathematics
Faculty of Science
University of Zagreb
Bijenicka 30, 10000 Zagreb, Croatia
email: mradul@math.hr

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