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2021 | OriginalPaper | Buchkapitel

10. Convergence Rate of Random Attractors for 2D Navier–Stokes Equation Towards the Deterministic Singleton Attractor

verfasst von : Hongyong Cui, Peter E. Kloeden

Erschienen in: Contemporary Approaches and Methods in Fundamental Mathematics and Mechanics

Verlag: Springer International Publishing

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Abstract

In this paper we study the long-time behavior of a 2D Navier–Stokes equation. It is shown that under small forcing intensity the global attractor of the equation is a singleton. When endowed with additive or multiplicative white noise no sufficient evidence was found that the random attractor keeps the singleton structure, but the estimate of the convergence rate of the random attractor towards the deterministic singleton attractor as stochastic perturbation vanishes is obtained.

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Titel: Convergence Rate of Random Attractors for 2D Navier–Stokes Equation Towards the Deterministic Singleton Attractor
verfasst von: Hongyong Cui
Peter E. Kloeden
Verlag: Springer International Publishing
Buch: Contemporary Approaches and Methods in Fundamental Mathematics and Mechanics
Print ISBN: 978-3-030-50301-7

Electronic ISBN: 978-3-030-50302-4

Copyright-Jahr: 2021
DOI: https://doi.org/10.1007/978-3-030-50302-4_10

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