一个非线性聚合物近似模型的周期长时间行为
Periodic long-time behaviour for an approximate model of nematic polymers
摘要：
我们研究了一个非线性福克-普朗克方程的长时间行为，该方程模拟了刚性聚合物在给定流动中的演化，经过封闭近似。这项工作的目的是双重的：第一，我们提出了一个微观的经典Doi封闭的推导，在动力学方程的水平;第二，我们证明了福克-普朗克方程的解决方案的收敛周期解的长时间限制。
英文摘要：
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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