Hydrodynamic Limit of a Fokker–Planck Equation Describing Fiber Lay-Down Processes

DOI10.1137/070692728zbMath1140.37015OpenAlexW2085233012MaRDI QIDQ3507478

Raimund Wegener, Luis L. Bonilla, Axel Klar, Nicole Marheineke, Thomas B. Götz

Publication date: 19 June 2008

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/070692728

zbMATH Keywords

asymptotic expansionFokker-Planck equationstochastic differential equationsOrnstein-Uhlenbeck process

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Applications of stochastic analysis (to PDEs, etc.) (60H30) Generation, random and stochastic difference and differential equations (37H10) Multiple scale methods for ordinary differential equations (34E13) Irreversible thermodynamics, including Onsager-Machlup theory (82C35)

Related Items (10)

SELF-PROPELLED INTERACTING PARTICLE SYSTEMS WITH ROOSTING FORCE ⋮ A 3D MODEL FOR FIBER LAY-DOWN IN NONWOVEN PRODUCTION PROCESSES ⋮ Aerodynamic web forming: process simulation and material properties ⋮ A semi-Lagrangian method for a Fokker-Planck equation describing fiber dynamics ⋮ Trend to Equilibrium for a Delay Vlasov--Fokker--Planck Equation and Explicit Decay Estimates ⋮ Stochastic dynamics for inextensible fibers in a spatially semi-discrete setting ⋮ 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 ⋮ GEOMETRIC LANGEVIN EQUATIONS ON SUBMANIFOLDS AND APPLICATIONS TO THE STOCHASTIC MELT-SPINNING PROCESS OF NONWOVENS AND BIOLOGY

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