Exponential rate of convergence to equilibrium for a model describing fiber lay-down processes

Details Exponential rate of convergence to equilibrium for a model describing fiber lay-down processes Exponential rate of convergence to equilibrium for a model describing fiber lay-down processes

2012-01-10

arxiv.org/abs/1201.2156v1

Mathematics

Analysis of PDEs

8 pages

Scientific paper

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.

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