Open AccessApproximate dynamics of a class of stochastic wave equations with white noise
Author(s) -
Guanggan Chen,
Qin Li,
Yunfeng Wei
Publication year - 2022
Publication title -
discrete and continuous dynamical systems. series b
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.864
H-Index - 53
eISSN - 1553-524X
pISSN - 1531-3492
DOI - 10.3934/dcdsb.2021033
Subject(s) - white noise , wave equation , mathematics , mathematical analysis , banach space , invariant (physics) , noise (video) , colors of noise , norm (philosophy) , mathematical physics , computer science , statistics , law , image (mathematics) , artificial intelligence , political science
This work is concerned with a stochastic wave equation driven by a white noise. Borrowing from the invariant random cone and employing the backward solvability argument, this wave system is approximated by a finite dimensional wave equation with a white noise. Especially, the finite dimension is explicit, accurate and determined by the coefficient of this wave system; and further originating from an Ornstein-Uhlenbek process and applying Banach space norm estimation, this wave system is approximated by a finite dimensional wave equation with a smooth colored noise.