March  2009, 11(2): 205-231. doi: 10.3934/dcdsb.2009.11.205

Attractors for a non-linear parabolic equation modelling suspension flows

1. 

Universidad Miguel Hernández, Centro de Investigación Operativa, Avda. Universidad s/n, Elche (Alicante), 03202, Spain, Spain, Spain

2. 

CEREMADE, UMR CNRS 7534, Université Paris IX-Dauphin, France

Received  October 2007 Revised  April 2008 Published  December 2008

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.
Citation: José M. Amigó, Isabelle Catto, Ángel Giménez, José Valero. Attractors for a non-linear parabolic equation modelling suspension flows. Discrete & Continuous Dynamical Systems - B, 2009, 11 (2) : 205-231. doi: 10.3934/dcdsb.2009.11.205
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