Dynamics of non-autonomous fractional stochastic Ginzburg-Landau equations with multiplicative noise

DOI10.3934/cpaa.2019109zbMath1489.37092OpenAlexW2926715057MaRDI QIDQ2069888

Yun Lan, Ji Shu

Publication date: 21 January 2022

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2019109

zbMATH Keywords

upper semicontinuityrandom attractormultiplicative noiserandom dynamical systemnonautonomous stochastic fractional Ginzburg-Landau equation

Mathematics Subject Classification ID

Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Infinite-dimensional random dynamical systems; stochastic equations (37L55) Fractional partial differential equations (35R11) Ginzburg-Landau equations (35Q56)

Related Items (14)

Finite fractal dimension of random attractors for non-autonomous fractional stochastic reaction–diffusion equations in ℝ ⋮ Wong–Zakai approximations and limiting dynamics of stochastic Ginzburg–Landau equations ⋮ Well-posedness of fractional stochastic complex Ginzburg-Landau equations driven by regular additive noise ⋮ Tempered random attractors of a non-autonomous non-local fractional equation driven by multiplicative white noise ⋮ Wong-Zakai approximations and asymptotic behavior of stochastic Ginzburg-Landau equations ⋮ Existence and upper semicontinuity of random attractors for non-autonomous fractional stochastic Ginzburg-Landau equations ⋮ Asymptotic behavior for non-autonomous fractional stochastic Ginzburg–Landau equations on unbounded domains ⋮ RANDOM ATTRACTORS FOR NON-AUTONOMOUS FRACTIONAL STOCHASTIC GINZBURG-LANDAU EQUATIONS ON UNBOUNDED DOMAINS ⋮ Weak pullback attractors for stochastic Ginzburg-Landau equations in Bochner spaces ⋮ Limiting behavior of fractional stochastic integro-differential equations on unbounded domains ⋮ Asymptotic behaviour of stochastic heat equations in materials with memory on thin domains ⋮ Regularity of random attractors for non-autonomous stochastic discrete complex Ginzburg-Landau equations ⋮ Wong–Zakai approximations and random attractors of non-autonomous stochastic discrete complex Ginzburg–Landau equations ⋮ Dynamics of stochastic Ginzburg–Landau equations driven by nonlinear noise

Cites Work

• Unnamed Item
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• 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
• Hitchhiker's guide to the fractional Sobolev spaces
• Dynamics of the 3-D fractional complex Ginzburg-Landau equation
• Random attractor for fractional Ginzburg-Landau equation with multiplicative noise
• Random attractors for stochastic discrete Klein-Gordon-Schrödinger equations driven by fractional Brownian motions
• Random attractors for stochastic lattice dynamical systems in weighted spaces
• Attractors for a second order nonautonomous lattice dynamical system with nonlinear damping
• Random attractors for stochastic discrete Klein-Gordon-Schrödinger equations
• Asymptotic behavior of 2D generalized stochastic Ginzburg-Landau equation with additive noise
• Well-posedness and dynamics of stochastic fractional model for nonlinear optical fiber materials
• Long time behaviour for generalized complex Ginzburg--Landau equation
• Asymptotic behavior of stochastic fractional power dissipative equations on \(\mathbb{R}^n\)
• Dynamics of the 3D fractional Ginzburg-Landau equation with multiplicative noise on an unbounded domain
• On the possibility of soft and hard turbulence in the complex Ginzburg- Landau equation
• Random attractors for the stochastic FitzHugh-Nagumo system on unbounded domains
• Space-time fractional Schrödinger equation with time-independent potentials
• Sufficient conditions for the existence of global random attractors for stochastic lattice dynamical systems and applications
• Solutions for the fractional Landau-Lifshitz equation
• Random attractors for second-order stochastic lattice dynamical systems
• Weak and strong solutions of the complex Ginzburg-Landau equation
• Attractors for random dynamical systems
• Random attractors
• Monotone random systems theory and applications
• Backwards compact attractors and periodic attractors for non-autonomous damped wave equations on an unbounded domain
• Finite dimensional behaviour for the derivative Ginzburg-Landau equation in two spatial dimensions
• Random dynamical systems for stochastic partial differential equations driven by a fractional Brownian motion
• Random attractors for damped non-autonomous wave equations with memory and white noise
• Asymptotic behavior of non-autonomous fractional stochastic reaction-diffusion equations
• Random attractors for stochastic reaction-diffusion equations on unbounded domains
• Existence of the global smooth solution to the period boundary value problem of fractional nonlinear Schrödinger equation
• One-dimensional random attractor and rotation number of the stochastic damped sine-Gordon equation
• Random attractors for wave equations on unbounded domains
• \(\mathcal D\)-pullback attractor for a non-autonomous wave equation with additive noise on unbounded domains
• Asymptotic behavior of stochastic discrete complex Ginzburg--Landau equations
• Global weak solutions of the fractional Landau-Lifshitz-Maxwell equation
• On the spectrum of two different fractional operators
• Existence and upper semicontinuity of attractors for stochastic equations with deterministic non-autonomous terms
• Global Well-Posedness for the Fractional Nonlinear Schrödinger Equation
• Random Dynamical Systems and Stationary Solutions of Differential Equations Driven by the Fractional Brownian Motion
• Asymptotic compactness and absorbing sets for 2D stochastic Navier-Stokes equations on some unbounded domains
• Random attractors for the stochastic coupled fractional Ginzburg-Landau equation with additive noise
• Upper Semicontinuity of Random Attractors for Non-compact Random Dynamical Systems
• Global existence theory for a generalized Ginzburg-Landau equation
• Random attractors for the 3d stochastic navier-stokes equation with multiplicative white noise
• Well-posedness and dynamics for the fractional Ginzburg-Landau equation
• Asymptotic behavior of stochastic wave equations with critical exponents on $\mathbb{R}^{3}$
• ATTRACTORS FOR STOCHASTIC LATTICE DYNAMICAL SYSTEMS
• Dynamics of evolutionary equations

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