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Article Dans Une Revue Applied Mathematics Research eXpress Année : 2013

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

Résumé

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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Dates et versions

hal-00658343 , version 1 (10-01-2012)

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Jean Dolbeault, Axel Klar, Clément Mouhot, Christian Schmeiser. Exponential rate of convergence to equilibrium for a model describing fiber lay-down processes. Applied Mathematics Research eXpress, 2013, 2013, pp.165-175. ⟨10.1093/amrx/abs015⟩. ⟨hal-00658343⟩
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