Dynamics of the 3D fractional Ginzburg-Landau equation with multiplicative noise on an unbounded domain

DOI10.4310/CMS.2016.v14.n1.a11zbMath1331.37070OpenAlexW2600415483MaRDI QIDQ900241

Shujuan Lü, Hong Lu, Mingji Zhang, Peter W. Bates

Publication date: 21 December 2015

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/cms.2016.v14.n1.a11

zbMATH Keywords

asymptotic compactnessrandom attractorpullback attractorstochastic fractional Ginzburg-Landau equation

Mathematics Subject Classification ID

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) Infinite-dimensional random dynamical systems; stochastic equations (37L55) Fractional partial differential equations (35R11) Ginzburg-Landau equations (35Q56)

Related Items (36)

Asymptotic behavior of non-autonomous fractional stochastic reaction-diffusion equations ⋮ Finite fractal dimension of random attractors for non-autonomous fractional stochastic reaction–diffusion equations in ℝ ⋮ Dynamics of fractional nonclassical diffusion equations with delay driven by additive noise on \(\mathbb{R}^n\) ⋮ Long-time behavior of a class of nonlocal partial differential equations ⋮ Upper semicontinuity of random attractors of stochastic discrete complex Ginzburg–Landau equations with time-varying delays in the delay ⋮ Dynamics of a stochastic fractional nonlocal reaction-diffusion model driven by additive noise ⋮ Limiting dynamics of stochastic complex Ginzburg–Landau lattice systems with long-range interactions in weighted space ⋮ 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 ⋮ Regularity of random attractors for fractional stochastic reaction-diffusion equations on \(\mathbb{R}^n\) ⋮ Existence and upper semicontinuity of random attractors for non-autonomous fractional stochastic Ginzburg-Landau equations ⋮ Random dynamics of non-autonomous fractional stochastic \(p\)-Laplacian equations on \(\mathbb{R}^N\) ⋮ Asymptotic behavior for non-autonomous fractional stochastic Ginzburg–Landau equations on unbounded domains ⋮ Asymptotical dynamics for non-autonomous stochastic equations driven by a non-local integro-differential operator of fractional type ⋮ Fractal dimension of random attractors for non-autonomous fractional stochastic Ginzburg-Landau equations ⋮ Long-time dynamics of fractional nonclassical diffusion equations with nonlinear colored noise and delay on unbounded domains ⋮ Fourier spectral approximations to the dynamics of 3D fractional complex Ginzburg-Landau equation ⋮ RANDOM ATTRACTORS FOR NON-AUTONOMOUS FRACTIONAL STOCHASTIC GINZBURG-LANDAU EQUATIONS ON UNBOUNDED DOMAINS ⋮ WONG-ZAKAI APPROXIMATIONS AND ATTRACTORS FOR FRACTIONAL STOCHASTIC REACTION-DIFFUSION EQUATIONS ON UNBOUNDED DOMAINS ⋮ Random attractors for non-autonomous fractional stochastic parabolic equations on unbounded domains ⋮ Fractal dimension of random attractors for non-autonomous fractional stochastic Ginzburg–Landau equations with multiplicative noise ⋮ Asymptotic behavior of non-autonomous random Ginzburg-Landau equation driven by colored noise ⋮ Upper semi-continuity of attractors for non-autonomous fractional stochastic parabolic equations with delay ⋮ Dynamics of non-autonomous fractional reaction-diffusion equations on \(\mathbb{R}^N\) driven by multiplicative noise ⋮ Dynamical behaviors of non-autonomous fractional FitzHugh-Nagumo system driven by additive noise in unbounded domains ⋮ Bi-spatial pullback attractors of fractional nonclassical diffusion equations on unbounded domains with \((p, q)\)-growth nonlinearities ⋮ Dynamical behavior of non-autonomous fractional stochastic reaction-diffusion equations ⋮ Asymptotic behavior of fractional stochastic heat equations in materials with memory ⋮ Limiting dynamical behavior of random fractional Fitzhugh-Nagumo systems driven by a Wong-Zakai approximation process ⋮ Random dynamics of fractional stochastic reaction-diffusion equations on Rn without uniqueness ⋮ Dynamics of non-autonomous fractional stochastic Ginzburg-Landau equations with multiplicative noise ⋮ Asymptotic behavior of fractional nonclassical diffusion equations driven by nonlinear colored noise on $\mathbb{R}^N$ ⋮ Stochastic dynamics of non-autonomous fractional Ginzburg-Landau equations on \(\mathbb{R}^3 \) ⋮ Dynamics of non-autonomous fractional Ginzburg-Landau equations driven by colored noise ⋮ Asymptotic behavior of non-autonomous stochastic complex Ginzburg–Landau equations on unbounded thin domains

This page was built for publication: Dynamics of the 3D fractional Ginzburg-Landau equation with multiplicative noise on an unbounded domain