Higher-order Wong-Zakai approximations of stochastic reaction-diffusion equations on \(\mathbb{R}^N\)

DOI10.1016/j.physd.2019.132147zbMath1453.35008OpenAlexW2957134729MaRDI QIDQ2222765

Yijin Zhang, Shang-Jie Chen, Wen-Qiang Zhao

Publication date: 27 January 2021

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2019.132147

zbMATH Keywords

stationary processrandom attractorupper semi-continuityWong-Zakai approximationadditive/multiplicative white noises

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Theoretical approximation in context of PDEs (35A35) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Generation, random and stochastic difference and differential equations (37H10) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (14)

Dynamical stability of random delayed FitzHugh–Nagumo lattice systems driven by nonlinear Wong–Zakai noise ⋮ An averaging principle for slow-fast fractional stochastic parabolic equations on unbounded domains ⋮ Upper semi-continuity of random attractors for a non-autonomous dynamical system with a weak convergence condition ⋮ Continuity of random attractors on a topological space and fractional delayed Fitzhugh-Nagumo equations with WZ-noise ⋮ High-order Wong-Zakai approximations for non-autonomous stochastic \(p\)-Laplacian equations on \(\mathbb{R}^N\) ⋮ Wong–Zakai approximations for non-autonomous stochastic parabolic equations with X-elliptic operators in higher regular spaces ⋮ Wong-Zakai approximations for stochastic differential equations with path-dependent coefficients ⋮ Regularity of Wong-Zakai approximation for stochastic reaction-diffusion equation on \(\mathbb{R}^N\) ⋮ 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 \(\mathbb{R}^n\) ⋮ Tempered random attractors of a non-autonomous non-local fractional equation driven by multiplicative white noise ⋮ Continuous Wong-Zakai approximations of random attractors for quasi-linear equations with nonlinear noise ⋮ Wong–Zakai approximations of the non-autonomous stochastic FitzHugh–Nagumo system on RN in higher regular spaces ⋮ Regularity of Wong-Zakai approximation for non-autonomous stochastic quasi-linear parabolic equation on \(\mathbb{R}^N\)

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