Regularity of random attractors for fractional stochastic reaction–diffusion equations on Rn
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2018.02.011
Abstract: Abstract We investigate the regularity of random attractors for the non-autonomous non-local fractional stochastic reaction–diffusion equations in H s ( R n ) with s ∈ ( 0 , 1 ) . We prove the… read more here.
Keywords: regularity random; diffusion equations; fractional stochastic; reaction diffusion ... See more keywords
Wong–Zakai approximations and random attractors of non-autonomous stochastic discrete complex Ginzburg–Landau equations
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Physics"
DOI: 10.1063/5.0016914
Abstract: In this paper, we consider the Wong–Zakai approximations and random attractors for stochastic discrete complex Ginzburg–Landau equations driven by nonlinear multiplicative noise. We establish the existence of the random attractor for the approximate system. For… read more here.
Keywords: discrete complex; random attractors; zakai approximations; stochastic discrete ... See more keywords
Random attractors for stochastic differential equations driven by two-sided Lévy processes
Sign Up to like & getrecommendations! Published in 2019 at "Stochastic Analysis and Applications"
DOI: 10.1080/07362994.2019.1637264
Abstract: Abstract In this paper, the asymptotic behavior of solutions for a nonlinear Marcus stochastic differential equation with multiplicative two-sided Lévy noise is studied. We plan to consider this equation as a random dynamical system. Thus,… read more here.
Keywords: dynamical system; two sided; stochastic differential; sided processes ... See more keywords
Weak pullback mean random attractors for the stochastic convective Brinkman–Forchheimer equations and locally monotone stochastic partial differential equations
Sign Up to like & getrecommendations! Published in 2022 at "Infinite Dimensional Analysis, Quantum Probability and Related Topics"
DOI: 10.1142/s0219025722500059
Abstract: This work is concerned about the asymptotic behavior of the solutions of the two- and three-dimensional stochastic convective Brinkman–Forchheimer (SCBF) equations [Formula: see text] driven by white noise with nonlinear diffusion terms (for some [Formula:… read more here.
Keywords: mean random; random attractors; weak pullback; formula see ... See more keywords
Random attractors of FitzHugh–Nagumo systems driven by colored noise on unbounded domains
Sign Up to like & getrecommendations! Published in 2019 at "Stochastics and Dynamics"
DOI: 10.1142/s0219493719500357
Abstract: We investigate the pathwise asymptotic behavior of the FitzHugh–Nagumo systems defined on unbounded domains driven by nonlinear colored noise. We prove the existence and uniqueness of tempered pullback random attractors of the systems with polynomial… read more here.
Keywords: random attractors; colored noise; systems driven; nagumo systems ... See more keywords
Random attractors for stochastic parabolic equations with additive noise in weighted spaces
Sign Up to like & getrecommendations! Published in 2018 at "Communications on Pure and Applied Analysis"
DOI: 10.3934/cpaa.2018038
Abstract: In this paper, we establish the existence of random attractors for stochastic parabolic equations driven by additive noise as well as deterministic non-autonomous forcing terms in weighted Lebesgue spaces \begin{document}$ L_{\delta}^r(\mathcal{O})$\end{document} , where \begin{document}$ 1… read more here.
Keywords: additive noise; stochastic parabolic; begin document; attractors stochastic ... See more keywords