A stochastic weakly damped, forced KdV-BO equation
type: Item
instance of: scholarly article
title: A stochastic weakly damped, forced KdV-BO equation
zbMATH Open document ID: 1474.35704
DOI: 10.1155/2014/576087
author: Guolian Wang
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We investigate the long time behavior of the damped, forced KdV-BO equation driven by white noise. We first show that the global solution generates a random dynamical system. By energy type estimates and dispersive properties, we then prove that this system possesses a weak random attractor in the space \(H^1(\mathbb{R})\).
Mathematics Subject Classification ID: 35R60
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35B41
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 60H15
zbMATH DE Number: 7022642
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/576087
OpenAlex ID: W2137257950
Wikidata QID: Q59039586
cites work: The well-posedness of the Korteweg-de Vries-Benjamin-Ono equation
cites work: \(L^2\) global well-posedness of the initial value problem associated to the Benjamin equation
cites work: The stochastic, damped KdV equation
cites work: The global attractor of the damped, forced generalized Korteweg de Vries-Benjamin-Ono equation in \(L^2\)
cites work: Well-posedness of stochastic Korteweg-de Vries-Benjamin-Ono equation
cites work: Q4210478
cites work: Attractors for random dynamical systems
cites work: Random attractors
cites work: Stochastic Equations in Infinite Dimensions
cites work: On the stochastic Korteweg-de Vries equation
cites work: Finite dimensional behavior for weakly damped driven Schrödinger equations
cites work: The global attractor of a weakly damped, forced Korteweg-de Vries equation in \(H^1(\mathbb{R})\)
description: scientific article; zbMATH DE number 7022642