Attractors for a non-linear parabolic equation modelling suspension flows

José M. Amigó; Isabelle Catto; Ángel Giménez; José Valero

doi:10.3934/dcdsb.2009.11.205

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2009, Volume 11, Issue 2: 205-231. Doi: 10.3934/dcdsb.2009.11.205

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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
2.
CEREMADE, UMR CNRS 7534, Université Paris IX-Dauphin

Received: October 2007

Revised: April 2008

Published: September 2009

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Abstract

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.

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Mathematics Subject Classification: Primary: 35B40, 35B41, 35K55; Secondary: 37B25, 58C06.

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