Exponential Rate of Convergence to Equilibrium for a Model Describing Fiber Lay-Down Processes

By Jean Dolbeault, Axel Klar, Clément Mouhot, Christian Schmeiser. 2012

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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.

Subfields: Applied Mathematics, Finance, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/48804b0ebb0b2ebdb5983e625adff3edcd19b82b