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Preprints, Working Papers, ... Year : 2011

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.

Dates and versions

inria-00609763 , version 1 (20-07-2011)

Identifiers

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

Cite

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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