Core–shell drops of Polymethyl Methacrylate (PMMA) and Polyacrylonitrile (PAN) are
subjected to a high speed gas jet that results in their stretching and bending. As a result of …

We consider a self-propelled interacting particle system for the collective behavior of swarms
of animals, and extend it with an attraction term called roosting force, as it has been …

The work aims at the experimental and theoretical study of the mechanism of meltblowing.
Meltblowing is a popular method of producing polymer microfibers and nanofibers en masse …

Melt blowing (MB) is an industrial process used in producing microfibrous nonwoven
materials. Over the past decades, a considerable amount of theoretical and experimental …

In this work we present a hierarchy of mathematical models for the numerical simulation of
the production process of technical textiles. The models range from highly complex three …

This paper is devoted to the adaptation of the method developed in [,] to a Fokker–Planck
equation for fiber lay-down, which has been studied in [,]. Exponential convergence toward a …

In this paper a three-dimensional stochastic model for the lay-down of fibers on a moving
conveyor belt in the production process of nonwoven materials is derived. The model is …

In this paper we present a chain of mathematical models that enables the numerical
simulation of the airlay process and the investigation of the resulting nonwoven material by …

In this work we present the industrial application of fiber lay-down models that enable an
efficient simulation of non-woven structures. The models describe the deposition of fibers on …

In this paper we develop geometric versions of the classical Langevin equation on regular
submanifolds in Euclidean space in an easy, natural way and combine them with a bunch of …