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Attractors for a non-linear parabolic equation modelling suspension flows

Gimenez, Angel; Catto, Isabelle; Amigo, M. Jose; Valero, Jose (2009), Attractors for a non-linear parabolic equation modelling suspension flows, Discrete and Continuous Dynamical Systems. Series B, 11, 2, p. 205-231. http://dx.doi.org/10.3934/dcdsb.2009.11.205

Type
Article accepté pour publication ou publié
External document link
http://hal.archives-ouvertes.fr/hal-00359702/en/
Date
2009
Journal name
Discrete and Continuous Dynamical Systems. Series B
Volume
11
Number
2
Publisher
Southwest Missouri State University Dept. of Mathematics
Pages
205-231
Publication identifier
Metadata
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Author(s)
Gimenez, Angel
Catto, Isabelle cc
Amigo, M. Jose
Valero, Jose
Abstract (EN)
In this paper we prove the existence of a global attractor with respect to the weak topology of a suitable Banach space for a parabolic scalar differential equation describing a non-Newtonian flow. More precisely, we study a model proposed by Hébraud and Lequeux for concentrated suspensions
Subjects / Keywords
Non-Newtonian fluids; set-valued dynamical system; global attractor