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

Ángel Giménez | Zendy; Francisco Morillas | Zendy; José Valero | Zendy; José M. Amigó | Zendy

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

Author(s) -

Ángel Giménez,

Francisco Morillas,

José Valero,

José M. Amigó

Publication year - 2011

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2011/415921

Subject(s) - stability (learning theory) , mesoscopic physics , suspension (topology) , mathematics , newtonian fluid , block (permutation group theory) , computer science , physics , mechanics , pure mathematics , combinatorics , quantum mechanics , machine learning , homotopy

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

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