Small mass limit and diffusion approximation for a generalized Langevin equation with infinite number degrees of freedom
type: Item
instance of: scholarly article
title: Small mass limit and diffusion approximation for a generalized Langevin equation with infinite number degrees of freedom
zbMATH Open document ID: 1481.60124
author: Chungang Shi
author: W. Wang
published in: Journal of Differential Equations
publication date: 2021-04-23T00:00:00Z
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 35R60
Mathematics Subject Classification ID: 60H10
Mathematics Subject Classification ID: 60H40
zbMATH DE Number: 7336959
zbMATH Keywords: generalized Langevin equation
zbMATH Keywords: SPDEs
zbMATH Keywords: randomly fast oscillation
zbMATH Keywords: diffusion approximation
zbMATH Keywords: tightness
zbMATH Keywords: martingale
zbMATH Keywords: white noise
MaRDI profile type: Publication
full work available at URL: j.jde.2021.03.023
OpenAlex ID: W3138693603
cites work: Q5560061
cites work: On the Smoluchowski-Kramers approximation for a system with an infinite number of degrees of freedom
cites work: Fluid-particle dynamics for passive tracers advected by a thermally fluctuating viscoelastic medium
cites work: Stochastic modeling in nanoscale biophysics: subdiffusion within proteins
cites work: Q5400824
cites work: Q3721531
cites work: Some remarks on the Smoluchowski-Kramers approximation
cites work: Q5547508
cites work: LONG-TERM BEHAVIOUR OF LARGE MECHANICAL SYSTEMS WITH RANDOM INITIAL DATA
cites work: Fractional kinetics in Kac-Zwanzig heat bath models
cites work: Diffusion approximation for nonlinear evolutionary equations with large interaction and fast boundary fluctuation
cites work: Q3814502
cites work: The small-mass limit and white-noise limit of an infinite dimensional generalized Langevin equation
cites work: Stochastic Processes and Applications
cites work: Analysis of White Noise Limits for Stochastic Systems with Two Fast Relaxation Times
cites work: Infinite-dimensional dynamical systems in mechanics and physics.
cites work: Diffusion approximation for self-similarity of stochastic advection in Burgers' equation
cites work: Ensemble Averaging for Dynamical Systems Under Fast Oscillating Random Boundary Conditions
cites work: Nonequilibrium statistical mechanics
DOI: 10.1016/J.JDE.2021.03.023
description: scientific article; zbMATH DE number 7336959