Periodic long-time behaviour for an approximate model of nematic polymers
Analysis of PDEs
2011-07-20 v1
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.
Keywords
Cite
@article{arxiv.1107.3592,
title = {Periodic long-time behaviour for an approximate model of nematic polymers},
author = {Lingbing He and Claude Le Bris and Tony Lelièvre},
journal= {arXiv preprint arXiv:1107.3592},
year = {2011}
}