Wong–Zakai approximations and attractors for stochastic degenerate parabolic equations on unbounded domains

DOI10.1142/S0219493721500337zbMath1479.35130OpenAlexW3100224985MaRDI QIDQ3384667

Fahe Miao, Hui Liu, Jie Xin

Publication date: 17 December 2021

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219493721500337

zbMATH Keywords

random dynamical systemsrandom attractorsWong-Zakai approximationtempered pullback attractors

Mathematics Subject Classification ID

Attractors (35B41) Degenerate parabolic equations (35K65) PDEs with randomness, stochastic partial differential equations (35R60) Initial value problems for second-order parabolic equations (35K15) Semilinear parabolic equations (35K58)

Related Items (2)

Limiting dynamics for fractional stochastic reaction-diffusion equations driven by a Wong–Zakai approximation process on Rn ⋮ Bi-spatial and Wong-Zakai approximations dynamics for fractional stochastic reaction-diffusion equations on \(\mathbb{R}^n\)

Cites Work

• Unnamed Item
• Unnamed Item
• Smooth approximation of stochastic differential equations
• Wong-Zakai type convergence in infinite dimensions
• Sufficient and necessary criteria for existence of pullback attractors for non-compact random dynamical systems
• Pullback attractors of non-autonomous stochastic degenerate parabolic equations on unbounded domains
• Random attractors for stochastic semi-linear degenerate parabolic equations
• Chaotic behavior in differential equations driven by a Brownian motion
• Approximation of the stochastic Navier-Stokes equation
• On Wong-Zakai approximation of stochastic differential equations
• Rate of convergence of Wong-Zakai approximations for stochastic partial differential equations
• Wong-Zakai approximations of stochastic evolution equations
• Global attractor for the \(m\)-semiflow generated by a quasilinear degenerate parabolic equation
• Approximations of solutions of stochastic differential equations driven by semimartingales
• Weak limit theorems for stochastic integrals and stochastic differential equations
• A class of approximations of Brownian motion
• On the gap between deterministic and stochastic ordinary differential equations
• Almost sure approximation of Wong-Zakai type for stochastic partial differential equations
• Random attractors
• Ergodicity and dynamics for the stochastic 3D Navier-Stokes equations with damping
• Approximation and support theorem in Hölder norm for parabolic stochastic partial differential equations
• Wong-Zakai approximations for stochastic differential equations
• Global attractors for degenerate parabolic equations on unbounded domains
• Wong-Zakai approximations and long term behavior of stochastic partial differential equations
• On the relation between ordinary and stochastic differential equations
• Wong-Zakai approximations and attractors for stochastic reaction-diffusion equations on unbounded domains
• Heteroclinic chaotic behavior driven by a Brownian motion
• Stochastic PDEs and Dynamics
• Time-space fractional stochastic Ginzburg-Landau equation driven by Gaussian white noise
• An approximation theorem of wong-zakai type for nonlinear stochastic partial differential equations
• PULLBACK ATTRACTORS FOR A NON-AUTONOMOUS SEMI-LINEAR DEGENERATE PARABOLIC EQUATION
• On the Convergence of Ordinary Integrals to Stochastic Integrals

This page was built for publication: Wong–Zakai approximations and attractors for stochastic degenerate parabolic equations on unbounded domains