Exponential Decay to Equilibrium for a Fiber Lay-Down Process on a Moving Conveyor Belt

DOI10.1137/16M1077490zbMath1379.35318arXiv1605.04121WikidataQ115525636 ScholiaQ115525636MaRDI QIDQ5357317

Franca Hoffmann, Clément Mouhot, Emeric Bouin

Publication date: 15 September 2017

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.04121

zbMATH Keywords

rate of convergenceperturbationhypocoercivityfiber lay-downmoving beltexistence and uniqueness of a stationary state

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) A priori estimates in context of PDEs (35B45) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Perturbations in context of PDEs (35B20) Fokker-Planck equations (35Q84)

Related Items (7)

Hypocoercivity with Schur complements ⋮ Longtime convergence of the temperature-accelerated molecular dynamics method ⋮ Convergence rates for nonequilibrium Langevin dynamics ⋮ Hypocoercivity without confinement ⋮ Generalized \(\Gamma\) calculus and application to interacting particles on a graph ⋮ Hypocoercivity of piecewise deterministic Markov process-Monte Carlo ⋮ Some new results on relative entropy production, time reversal, and optimal control of time-inhomogeneous diffusion processes

Cites Work

• Unnamed Item
• Energy method for Boltzmann equation
• Semigroups of linear operators and applications to partial differential equations
• On the trend to global equilibrium for spatially inhomogeneous kinetic systems: the Boltzmann equation
• The Landau equation in a periodic box
• Isotropic hypoelliptic and trend to equilibrium for the Fokker-Planck equation with a high-degree potential
• Confinement by biased velocity jumps: aggregation of \textit{Escherichia coli}
• Exponential Rate of Convergence to Equilibrium for a Model Describing Fiber Lay-Down Processes
• A 3D MODEL FOR FIBER LAY-DOWN IN NONWOVEN PRODUCTION PROCESSES
• Fiber Dynamics in Turbulent Flows: General Modeling Framework
• Hypocoercivity
• (Non-)Ergodicity of a Degenerate Diffusion Modeling the Fiber Lay Down Process
• Hypocoercivity for linear kinetic equations conserving mass
• A Stochastic Model and Associated Fokker–Planck Equation for the Fiber Lay-Down Process in Nonwoven Production Processes
• Fiber Dynamics in Turbulent Flows: Specific Taylor Drag

This page was built for publication: Exponential Decay to Equilibrium for a Fiber Lay-Down Process on a Moving Conveyor Belt