Ergodicity of stochastic Burgers system with dissipative term
type: Item
instance of: scholarly article
title: Ergodicity of stochastic Burgers system with dissipative term
zbMATH Open document ID: 1310.60101
DOI: 10.1155/2013/267328
author: Guoli Zhou
author: Daiwen Huang
author: Boling Guo
author: Yongqian Han
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: A 2-dimensional stochastic Burgers equation with a dissipative term perturbed by Wiener noise is considered. The aim is to prove the well-posedness, existence, and uniqueness of an invariant measure as well as a strong law of large numbers and convergence to the equilibrium.
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 60F15
Mathematics Subject Classification ID: 37A25
Mathematics Subject Classification ID: 35R60
zbMATH DE Number: 6306579
zbMATH Keywords: stochastic Burgers equation
zbMATH Keywords: Wiener noise
zbMATH Keywords: ergodicity
zbMATH Keywords: invariant measure
zbMATH Keywords: strong law of large numbers
Wikidata QID: Q58915735
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/267328
OpenAlex ID: W2163401945
cites work: Feedback control for unsteady flow and its application to the stochastic Burgers equation
cites work: Forced Model Equation for Turbulence
cites work: Dynamic Scaling of Growing Interfaces
cites work: The stochastic Burgers equation
cites work: Stochastic Burgers' equation
cites work: Stochastic Cahn-Hilliard equation
cites work: On the stochastic Burgers' equation in the real line
cites work: Large deviation principle of occupation measure for stochastic Burgers equation
cites work: Invariant measures for Burgers equation with stochastic forcing
cites work: One-dimensional stochastic Burgers equation driven by Lévy processes
cites work: Stochastic Burgers' equation driven by fractional Brownian motion
cites work: Stochastic stability of semi-Markovian jump systems with mode-dependent delays
cites work: Delay‐dependent non‐synchronized robust ℋ∞ state estimation for discrete‐time piecewise linear delay systems
cites work: Asymptotic coupling and a general form of Harris' theorem with applications to stochastic delay equations
cites work: Asymptotic Properties of Markoff Transition Probabilities
cites work: Stochastic Equations in Infinite Dimensions
cites work: Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
cites work: Dissipativity and invariant measures for stochastic Navier-Stokes equations
cites work: Semigroups of linear operators and applications to partial differential equations
cites work: Ergodicity for Infinite Dimensional Systems
cites work: Strong Feller property and irreducibility for diffusions on Hilbert spaces
description: scientific article; zbMATH DE number 6306579