纤维铺放过程模型向平衡点的指数收敛速率
Exponential rate of convergence to equilibrium for a model describing fiber lay-down processes
摘要：
本文将文献[4，3]中的方法应用于文献[1，5]中研究的纤维铺放的Fokker-Planck方程。在等价于加权$L^2$范数的范数下，证明了该算法向唯一稳态的指数收敛性。该方法是基于微观/宏观分解，这是很好地适应扩散限制制度。
英文摘要：
This paper is devoted to the adaptation of the method developed in [4,3] to a Fokker-Planck equation for fiber lay-down which has been studied in [1,5]. Exponential convergence towards a unique stationary state is proved in a norm which is equivalent to a weighted $L^2$ norm. The method is based on a micro / macro decomposition which is well adapted to the diffusion limit regime.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
