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

à ngel Giménez, Francisco Morillas, José Valero and José María Amigó

Discrete Dynamics in Nature and Society, 2011, vol. 2011, 1-24

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 stress σ in 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.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:415921

DOI: 10.1155/2011/415921

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