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Oxford University Press (OUP), Applied Mathematics Research eXpress

DOI: 10.1093/amrx/abs015

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

Journal article published in 2012 by Jean Dolbeault ORCID, Axel Klar, Clément Mouhot, Christian Schmeiser
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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Abstract

8 pages ; International audience ; 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.