Open AccessSteady state non-Newtonian flow with strain rate dependent viscosity in domains with cylindrical outlets to infinity
Author(s) -
Grigory Panasenko,
Konstantin Pileckas,
Bogdan Vernescu
Publication year - 2021
Publication title -
nonlinear analysis
Language(s) - English
Resource type - Journals
eISSN - 2335-8963
pISSN - 1392-5113
DOI - 10.15388/namc.2021.26.24600
Subject(s) - hagen–poiseuille equation , uniqueness , infinity , viscosity , newtonian fluid , mathematics , flow (mathematics) , non newtonian fluid , mathematical analysis , limit (mathematics) , mechanics , physics , geometry , thermodynamics
The paper deals with a stationary non-Newtonian flow of a viscous fluid in unbounded domains with cylindrical outlets to infinity. The viscosity is assumed to be smoothly dependent on the gradient of the velocity. Applying the generalized Banach fixed point theorem, we prove the existence, uniqueness and high order regularity of solutions stabilizing in the outlets to the prescribed quasi-Poiseuille flows. Varying the limit quasi-Poiseuille flows, we prove the stability of the solution.