Periodic long-time behaviour for an approximate model of nematic polymers

Abstract : We study the long-time behaviour of a nonlinear Fokker-Planck equation, which models the evolution of rigid polymers in a given flow, after a closure approximation. The aim of this work is twofold: first, we propose a microscopic derivation of the classical Doi closure, at the level of the kinetic equation ; second, we prove the convergence of the solution to the Fokker-Planck equation to periodic solutions in the long-time limit.
Type de document :
Pré-publication, Document de travail
2011
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https://hal.inria.fr/inria-00609763
Contributeur : Tony Lelievre <>
Soumis le : mercredi 20 juillet 2011 - 05:25:13
Dernière modification le : vendredi 25 mai 2018 - 12:02:03

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  • HAL Id : inria-00609763, version 1
  • ARXIV : 1107.3592

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Lingbing He, Claude Le Bris, Tony Lelièvre. Periodic long-time behaviour for an approximate model of nematic polymers. 2011. 〈inria-00609763〉

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