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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.
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Preprints, Working Papers, ...
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https://hal.inria.fr/inria-00609763
Contributor : Tony Lelièvre Connect in order to contact the contributor
Submitted on : Wednesday, July 20, 2011 - 5:25:13 AM
Last modification on : Tuesday, January 11, 2022 - 11:16:20 AM

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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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