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Incompressible non-Newtonian fluids: time asymptotic behaviour of weak solutions

✍ Scribed by Šárka Nečasová; Patrick Penel

Publisher: John Wiley and Sons
Year: 2006
Tongue: English
Weight: 142 KB
Volume: 29
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.730

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✦ Synopsis

Abstract

We study the asymptotic behaviour in time of incompressible non‐Newtonian fluids in the whole space assuming that initial data also belong to L^1^. Firstly, we consider the weak solution to the power‐law model with non‐zero external forces and we find the asymptotic behaviour in time of this solution in the same class of existence and uniqueness with p⩾. Secondly, we are interested in the asymptotic behaviour of weak solutions to the second grade model, and finally, we deal with the asymptotic behaviour in time of weak solutions to a simplified model of viscoelastic fluids of the Oldroyd type. Copyright © 2006 John Wiley & Sons, Ltd.

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