Steady state non-Newtonian flow with strain rate dependent viscosity in domains with cylindrical outlets to infinity
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, uniquene...
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Vilnius University Press
2021
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oai:doaj.org-article:537f6d4a301f4116bb457e5af79c50102021-12-02T19:40:39ZSteady state non-Newtonian flow with strain rate dependent viscosity in domains with cylindrical outlets to infinity10.15388/namc.2021.26.246001392-51132335-8963https://doaj.org/article/537f6d4a301f4116bb457e5af79c50102021-11-01T00:00:00Zhttps://www.journals.vu.lt/nonlinear-analysis/article/view/24600https://doaj.org/toc/1392-5113https://doaj.org/toc/2335-8963 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. Grigory PanasenkoKonstantin PileckasBogdan VernescuVilnius University Pressarticlenon-Newtonian flowstrain rate dependent viscosityquasi-Poiseuille flowsdomains with outlets to infinityAnalysisQA299.6-433ENNonlinear Analysis, Vol 26, Iss 6 (2021) |
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non-Newtonian flow strain rate dependent viscosity quasi-Poiseuille flows domains with outlets to infinity Analysis QA299.6-433 |
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non-Newtonian flow strain rate dependent viscosity quasi-Poiseuille flows domains with outlets to infinity Analysis QA299.6-433 Grigory Panasenko Konstantin Pileckas Bogdan Vernescu Steady state non-Newtonian flow with strain rate dependent viscosity in domains with cylindrical outlets to infinity |
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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.
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format |
article |
author |
Grigory Panasenko Konstantin Pileckas Bogdan Vernescu |
author_facet |
Grigory Panasenko Konstantin Pileckas Bogdan Vernescu |
author_sort |
Grigory Panasenko |
title |
Steady state non-Newtonian flow with strain rate dependent viscosity in domains with cylindrical outlets to infinity |
title_short |
Steady state non-Newtonian flow with strain rate dependent viscosity in domains with cylindrical outlets to infinity |
title_full |
Steady state non-Newtonian flow with strain rate dependent viscosity in domains with cylindrical outlets to infinity |
title_fullStr |
Steady state non-Newtonian flow with strain rate dependent viscosity in domains with cylindrical outlets to infinity |
title_full_unstemmed |
Steady state non-Newtonian flow with strain rate dependent viscosity in domains with cylindrical outlets to infinity |
title_sort |
steady state non-newtonian flow with strain rate dependent viscosity in domains with cylindrical outlets to infinity |
publisher |
Vilnius University Press |
publishDate |
2021 |
url |
https://doaj.org/article/537f6d4a301f4116bb457e5af79c5010 |
work_keys_str_mv |
AT grigorypanasenko steadystatenonnewtonianflowwithstrainratedependentviscosityindomainswithcylindricaloutletstoinfinity AT konstantinpileckas steadystatenonnewtonianflowwithstrainratedependentviscosityindomainswithcylindricaloutletstoinfinity AT bogdanvernescu steadystatenonnewtonianflowwithstrainratedependentviscosityindomainswithcylindricaloutletstoinfinity |
_version_ |
1718376201652797440 |