Stability and Numerical Analysis of the Hébraud-Lequeux Model for Suspensions-Reference-Cited by-同舟云学术

Stability and Numerical Analysis of the Hébraud-Lequeux Model for Suspensions

Published:2011 Issue: Volume:2011 Page:1-24
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Giménez Ángel¹,Morillas Francisco²,Valero José¹,Amigó José María¹

Affiliation:

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

2. Departament d'Economia Aplicada, Facultat d'Economia, Universitat de València, Campus dels Tarongers s/n, 46022 València, Spain

Abstract

We study both analytically and numerically the stability of the solutions of the Hébraud-Lequeux equation. This parabolic equation models the evolution for the probability of finding a stressσin a mesoscopic block of a concentrated suspension, a non-Newtonian fluid. We prove a new result concerning the stability of the fixed points of the equation, and pose some conjectures about stability, based on numerical evidence.

Funder

Spanish Ministerio de Ciencia e Innovación

Publisher

Hindawi Limited

Subject

Modeling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2011/415921.pdf

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