On the random attractor for stochastic 2D hydrodynamical type equations with additive white noise

In this paper, we prove the existence of a random attractor, the finiteness of its fractal dimension, the random squeezing property, and the existence of a finite number of determining modes for an abstract stochastic 2D hydrodynamical type equations with additive white noise.

Saved in:
Bibliographic Details
Published in:Stochastics (Abingdon, Eng. : 2005) Eng. : 2005), 2023-04, Vol.95 (3), p.356-376
Main Authors: Da, Nguyen Tien, Van Loi, Do
Format: Article
Language:English
Subjects:
2D hydrodynamical type equations
additive noise
determining modes
fractal dimension
Fractal geometry
Mathematical analysis
random attractor
random squeezing property
White noise
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we prove the existence of a random attractor, the finiteness of its fractal dimension, the random squeezing property, and the existence of a finite number of determining modes for an abstract stochastic 2D hydrodynamical type equations with additive white noise.
ISSN:1744-2508
1744-2516
DOI:10.1080/17442508.2022.2084340