A Stochastic Model and Associated Fokker–Planck Equation for the Fiber Lay-Down Process in Nonwoven Production Processes

Production models (90B30) Hamilton's equations (70H05) Applications of stochastic analysis (to PDEs, etc.) (60H30) Generation, random and stochastic difference and differential equations (37H10)

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SELF-PROPELLED INTERACTING PARTICLE SYSTEMS WITH ROOSTING FORCE ⋮ Spectral asymptotics for kinetic Brownian motion on surfaces of constant curvature ⋮ A 3D MODEL FOR FIBER LAY-DOWN IN NONWOVEN PRODUCTION PROCESSES ⋮ Aerodynamic web forming: process simulation and material properties ⋮ Hypocoercivity of Langevin-type dynamics on abstract smooth manifolds ⋮ A semi-Lagrangian method for a Fokker-Planck equation describing fiber dynamics ⋮ A hypocoercivity related ergodicity method for singularly distorted non-symmetric diffusions ⋮ Exponential Decay to Equilibrium for a Fiber Lay-Down Process on a Moving Conveyor Belt ⋮ Trend to Equilibrium for a Delay Vlasov--Fokker--Planck Equation and Explicit Decay Estimates ⋮ Efficient graph‐based tensile strength simulations of random fiber structures ⋮ Hypocoercivity for Kolmogorov backward evolution equations and applications ⋮ A semi-Lagrangian method for 3-D Fokker Planck equations for stochastic dynamical systems on the sphere ⋮ Parameter estimation of fiber lay-down in nonwoven production: an occupation time approach ⋮ Approximate models for stochastic dynamic systems with velocities on the sphere and associated Fokker-Planck equations ⋮ Nonwoven production processes ⋮ GEOMETRIC LANGEVIN EQUATIONS ON SUBMANIFOLDS AND APPLICATIONS TO THE STOCHASTIC MELT-SPINNING PROCESS OF NONWOVENS AND BIOLOGY

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