Nonstationary Poiseuille flow of a non-Newtonian fluid with the shear rate-dependent viscosity-Reference-Cited by-同舟云学术

Nonstationary Poiseuille flow of a non-Newtonian fluid with the shear rate-dependent viscosity

Published:2022-10-26 Issue:1 Volume:12 Page:
ISSN:2191-950X
Container-title:Advances in Nonlinear Analysis
language:en
Short-container-title:

Author:

Panasenko Grigory¹,Pileckas Konstantin¹

Affiliation:

1. Institute of Applied Mathematics, Vilnius University , Naugarduko Str., 24 , Vilnius , 03225 Lithuania

Abstract

Abstract A nonstationary Poiseuille flow of a non-Newtonian fluid with the shear rate dependent viscosity is considered. This problem is nonlinear and nonlocal in time and inverse to the nonlinear heat equation. The provided mathematical analysis includes the proof of the existence, uniqueness, regularity, and stability of the velocity and the pressure slope for a given flux carrier and of the exponential decay of the solution as the time variable goes to infinity for the exponentially decaying flux.

Publisher

Walter de Gruyter GmbH

Subject

Analysis

Link

https://www.degruyter.com/document/doi/10.1515/anona-2022-0259/pdf

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