Wong-Zakai approximations and attractors for stochastic wave equations driven by additive noise
From MaRDI portal
Publication:2033602
DOI10.3934/dcdsb.2020207zbMath1472.60106OpenAlexW3038809926WikidataQ114022660 ScholiaQ114022660MaRDI QIDQ2033602
Xiaohu Wang, Jun Shen, Dingshi Li
Publication date: 17 June 2021
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2020207
Brownian motionupper semicontinuitywhite noiserandom attractorEuler approximationstochastic wave equationWong-Zakai approximation
Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Wave equation (35L05) White noise theory (60H40) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)
Related Items (5)
Wong–Zakai approximations of second-order stochastic lattice systems driven by additive white noise ⋮ Limiting dynamics for fractional stochastic reaction-diffusion equations driven by a Wong–Zakai approximation process on Rn ⋮ Random attractors of supercritical wave equations driven by infinite-dimensional additive noise on \(\mathbb{R}^n\) ⋮ Wong–Zakai approximations and random attractors of non-autonomous stochastic discrete complex Ginzburg–Landau equations ⋮ Wong-Zakai approximations and pathwise dynamics of stochastic fractional lattice systems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Smooth approximation of stochastic differential equations
- Random attractors for non-autonomous stochastic wave equations with multiplicative noise
- Sufficient and necessary criteria for existence of pullback attractors for non-compact random dynamical systems
- Random attractors and averaging for non-autonomous stochastic wave equations with nonlinear damping
- Random attractor for stochastic non-autonomous damped wave equation with critical exponent
- Multivalued non-autonomous random dynamical systems for wave equations without uniqueness
- Chaotic behavior in differential equations driven by a Brownian motion
- Approximation for random stable manifolds under multiplicative correlated noises
- A Wong-Zakai theorem for stochastic PDEs
- On the gap between deterministic and stochastic ordinary differential equations
- Attractors for random dynamical systems
- Almost sure approximation of Wong-Zakai type for stochastic partial differential equations
- Infinite-dimensional dynamical systems in mechanics and physics.
- Random attractors
- Invariant manifolds for stochastic partial differential equations.
- Global attractors for damped semilinear wave equations.
- Asymptotic behavior of random Navier-Stokes equations driven by Wong-Zakai approximations
- Random attractor and random exponential attractor for stochastic non-autonomous damped cubic wave equation with linear multiplicative white noise
- Asymptotic behavior of random FitzHugh-Nagumo systems driven by colored noise
- Convergence and center manifolds for differential equations driven by colored noise
- Wong-Zakai approximations and center manifolds of stochastic differential equations
- Wong-Zakai approximations and long term behavior of stochastic partial differential equations
- Random attractors for stochastic reaction-diffusion equations on unbounded domains
- Random attractors for wave equations on unbounded domains
- On the relation between ordinary and stochastic differential equations
- Approximate the dynamical behavior for stochastic systems by Wong-zakai approaching
- Wong-Zakai approximations and attractors for stochastic reaction-diffusion equations on unbounded domains
- Heteroclinic chaotic behavior driven by a Brownian motion
- Random Dynamical Systems for Stochastic Evolution Equations Driven by Multiplicative Fractional Brownian Noise with Hurst Parameters $H{\in} (1/3,1/2$]
- Existence and upper semicontinuity of attractors for stochastic equations with deterministic non-autonomous terms
- The Global Random Attractor for a Class of Stochastic Porous Media Equations
- An interpretation of stochastic differential equations as ordinary differential equations which depend on the sample point
- Random attractors for the 3d stochastic navier-stokes equation with multiplicative white noise
- Random attractors of stochastic partial differential equations: A smooth approximation approach
- On smooth approximation for random attractor of stochastic partial differential equations with multiplicative noise
- Asymptotic behavior of stochastic wave equations with critical exponents on $\mathbb{R}^{3}$
- Random Attractor for Damped Nonlinear Wave Equations with White Noise
- On the Convergence of Ordinary Integrals to Stochastic Integrals
This page was built for publication: Wong-Zakai approximations and attractors for stochastic wave equations driven by additive noise
