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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