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Abstract

We present an improved three-dimensional stochastic model concerning the fiber lay-down in the production process of nonwoven materials. The model describes the position of the deposited fibers on a conveyor belt, which is determined by a system of stochastic differential equations. Here we remove a drawback of a previous 3D model, that is the non-smoothness of the fiber paths. Besides the derivation of the smooth 3D model we show its connection to the non-smooth model in a white noise limit. (© 2012 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)