Journal
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
Volume 40, Issue 3, Pages 968-983Publisher
SIAM PUBLICATIONS
DOI: 10.1137/070697173
Keywords
fiber dynamics; Fokker-Planck equations; Dirichlet forms; ergodicity; rate of convergence
Categories
Funding
- Kaiserslautern Excellence Cluster Dependable Adaptive Systems and Mathematical Modeling
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A stochastic model for the lay-down of fibers on a conveyor belt in the production process of nonwovens is investigated. In particular, convergence of the stochastic process to the stationary solution is proven and estimates on the speed of convergence are given. Numerical results and examples are presented and compared with the analytical estimates on the speed of convergence.
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