The \(\alpha \)-dependence of the invariant measure of stochastic real Ginzburg-Landau equation driven by \(\alpha \)-stable Lévy processes

DOI10.1016/j.jde.2022.01.024zbMath1490.60188OpenAlexW4205227385MaRDI QIDQ2074454

Xian-Ming Liu

Publication date: 10 February 2022

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2022.01.024

zbMATH Keywords

Wasserstein distancestochastic real Ginzburg-Landau equation\( \alpha \)-dependence of invariant measurecylindrical \(\alpha \)-stable Lévy processcylindrical subordinated Brownian motion

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Jump processes on general state spaces (60J76)

Related Items (1)

Stability and optimal controls for time-space fractional Ginzburg-Landau systems

Cites Work

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• Invariant measures of stochastic \(2D\) Navier-Stokes equation driven by \(\alpha\)-stable processes
• Irreducibility of stochastic real Ginzburg-Landau equation driven by \(\alpha\)-stable noises and applications
• Exponential ergodicity and regularity for equations with Lévy noise
• Structural properties of semilinear SPDEs driven by cylindrical stable processes
• Stability of a 4th-order curvature condition arising in optimal transport theory
• Asymptotics for stochastic reaction-diffusion equation driven by subordinate Brownian motion
• Singular Brownian diffusion processes
• Exponential mixing properties of stochastic PDEs through asymptotic coupling
• Derivative formulas and gradient estimates for SDEs driven by \(\alpha\)-stable processes
• Exponential ergodicity of stochastic Burgers equations driven by \(\alpha\)-stable processes
• Ergodicity and exponential mixing of the real Ginzburg-Landau equation with a degenerate noise
• On the \(\alpha \)-dependence of stochastic differential equations with Hölder drift and driven by \(\alpha \)-stable Lévy processes
• Large Prandtl number asymptotics in randomly forced turbulent convection
• On the convergence of stationary solutions in the Smoluchowski-Kramers approximation of infinite dimensional systems
• Ergodicity of the stochastic real Ginzburg-Landau equation driven by \(\alpha\)-stable noises
• Spectral gaps in Wasserstein distances and the 2D stochastic Navier-Stokes equations
• Lévy Processes and Stochastic Calculus
• Ergodicity for Infinite Dimensional Systems

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