The \(\alpha \)-dependence of the invariant measure of stochastic real Ginzburg-Landau equation driven by \(\alpha \)-stable Lévy processes
type: Item
instance of: scholarly article
title: The \(\alpha \)-dependence of the invariant measure of stochastic real Ginzburg-Landau equation driven by \(\alpha \)-stable Lévy processes
zbMATH Open document ID: 1490.60188
published in: Journal of Differential Equations
publication date: 2022-02-10T00:00:00Z
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 60H10
Mathematics Subject Classification ID: 35R60
Mathematics Subject Classification ID: 60J76
zbMATH DE Number: 7471756
zbMATH Keywords: cylindrical \(\alpha \)-stable Lévy process
zbMATH Keywords: cylindrical subordinated Brownian motion
zbMATH Keywords: stochastic real Ginzburg-Landau equation
zbMATH Keywords: \( \alpha \)-dependence of invariant measure
zbMATH Keywords: Wasserstein distance
author: Xian-Ming Liu
MaRDI profile type: Publication
full work available at URL: j.jde.2022.01.024
OpenAlex ID: W4205227385
cites work: Lévy Processes and Stochastic Calculus
cites work: Q5560061
cites work: On the convergence of stationary solutions in the Smoluchowski-Kramers approximation of infinite dimensional systems
cites work: Ergodicity for Infinite Dimensional Systems
cites work: Invariant measures of stochastic \(2D\) Navier-Stokes equation driven by \(\alpha\)-stable processes
cites work: Exponential ergodicity of stochastic Burgers equations driven by \(\alpha\)-stable processes
cites work: Large Prandtl number asymptotics in randomly forced turbulent convection
cites work: Exponential mixing properties of stochastic PDEs through asymptotic coupling
cites work: Spectral gaps in Wasserstein distances and the 2D stochastic Navier-Stokes equations
cites work: Q4778955
cites work: On the \(\alpha \)-dependence of stochastic differential equations with Hölder drift and driven by \(\alpha \)-stable Lévy processes
cites work: Ergodicity and exponential mixing of the real Ginzburg-Landau equation with a degenerate noise
cites work: Exponential ergodicity and regularity for equations with Lévy noise
cites work: Structural properties of semilinear SPDEs driven by cylindrical stable processes
cites work: Q4937701
cites work: Stability of a 4th-order curvature condition arising in optimal transport theory
cites work: Irreducibility of stochastic real Ginzburg-Landau equation driven by \(\alpha\)-stable noises and applications
cites work: Asymptotics for stochastic reaction-diffusion equation driven by subordinate Brownian motion
cites work: Ergodicity of the stochastic real Ginzburg-Landau equation driven by \(\alpha\)-stable noises
cites work: Derivative formulas and gradient estimates for SDEs driven by \(\alpha\)-stable processes
cites work: Singular Brownian diffusion processes
DOI: 10.1016/J.JDE.2022.01.024
description: scientific article; zbMATH DE number 7471756