| Title |
Nonstationary Poiseuille flow of a non-Newtonian fluid with the shear rate-dependent viscosity / |
| Authors |
Panassenko, Grigory Petrovitch ; Pileckas, Konstantinas |
| DOI |
10.1515/anona-2022-0259 |
| Full Text |
|
| Is Part of |
Advances in nonlinear analysis.. Warsaw : Walter de Gruyter Poland. 2023, vol. 12, iss. 1, art. no. 20220259, p. [1-21].. ISSN 2191-9496. eISSN 2191-950X |
| Keywords [eng] |
non-Newtonian flow ; strain rate dependent viscosity ; Poiseuille flows |
| Abstract [eng] |
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. |
| Published |
Warsaw : Walter de Gruyter Poland |
| Type |
Journal article |
| Language |
English |
| Publication date |
2023 |
| CC license |
|
