Existence, uniqueness and stability of steady flows of second and third grade fluids in an unbounded "pipe-like" domain

Authors
Passerini, A Patria, MC
Citation
A. Passerini et Mc. Patria, Existence, uniqueness and stability of steady flows of second and third grade fluids in an unbounded "pipe-like" domain, INT J N-L M, 35(6), 2000, pp. 1081-1103
Citations number
35
Categorie Soggetti
Mechanical Engineering
Journal title
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
ISSN journal
00207462 → ACNP
Volume
35
Issue
6
Year of publication
2000
Pages
1081 - 1103
Database
ISI
SICI code
0020-7462(200011)35:6<1081:EUASOS>2.0.ZU;2-G
Abstract
We study steady motions of viscous incompressible third-grade fluids in unb ounded channels with arbitrary shape. Such flows exist for small fluxes, du e to a pressure drop. We prove that they are asymptotically stable in time, provided the viscosity is sufficiently large, and the initial condition on the perturbation sufficiently small. (C) 2000 Elsevier Science Ltd. All ri ghts reserved. MSG: 35Q35; 76D99.