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

Author

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  • à ngel Giménez
  • Francisco Morillas
  • José Valero
  • José María Amigó

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.

Suggested Citation

  • à ngel Giménez & Francisco Morillas & José Valero & José María Amigó, 2011. "Stability and Numerical Analysis of the Hébraud-Lequeux Model for Suspensions," Discrete Dynamics in Nature and Society, Hindawi, vol. 2011, pages 1-24, May.
    • Handle: RePEc:hin:jnddns:415921
    DOI: 10.1155/2011/415921
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