Small mass limit and diffusion approximation for a generalized Langevin equation with infinite number degrees of freedom

DOI10.1016/j.jde.2021.03.023zbMath1481.60124OpenAlexW3138693603MaRDI QIDQ2020134

Chungang Shi, Wei Wang

Publication date: 23 April 2021

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2021.03.023

zbMATH Keywords

diffusion approximationtightnessmartingalewhite noiseSPDEsgeneralized Langevin equationrandomly fast oscillation

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) White noise theory (60H40) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (2)

Approximation for a generalized Langevin equation with high oscillation in time and space ⋮ The small mass limit for long time statistics of a stochastic nonlinear damped wave equation

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