The attractor of the stochastic generalized Ginzburg-Landau equation

DOI10.1007/s11425-007-0181-6zbMath1154.35318OpenAlexW1987386972MaRDI QIDQ943446

Guolian Wang, Dong-Long Li, Bo-ling Guo

Publication date: 9 September 2008

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-007-0181-6

zbMATH Keywords

random dynamical systemsrandom attractorone space dimensionadditive noise

Mathematics Subject Classification ID

Attractors (35B41) Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (13)

Random attractors for the stochastic coupled fractional Ginzburg-Landau equation with additive noise ⋮ Linearized ADI schemes for two-dimensional space-fractional nonlinear Ginzburg-Landau equation ⋮ Asymptotic behavior and blowup for two generalized Ginzburg–Landau type equations with several nonlinear source terms ⋮ Random attractor of stochastic complex Ginzburg–Landau equation with multiplicative noise on unbounded domain ⋮ An unconditionally stable linearized difference scheme for the fractional Ginzburg-Landau equation ⋮ Asymptotic behavior of non-autonomous random Ginzburg-Landau equation driven by colored noise ⋮ ASYMPTOTIC COMPACTNESS OF STOCHASTIC COMPLEX GINZBURG–LANDAU EQUATION ON AN UNBOUNDED DOMAIN ⋮ Regularity of random attractors for non-autonomous stochastic discrete complex Ginzburg-Landau equations ⋮ Random attractor for the Ladyzhenskaya model with additive noise ⋮ Wong–Zakai approximations and random attractors of non-autonomous stochastic discrete complex Ginzburg–Landau equations ⋮ A three‐level linearized compact difference scheme for the Ginzburg–Landau equation ⋮ Asymptotic behavior of non-autonomous stochastic complex Ginzburg–Landau equations on unbounded thin domains ⋮ Convergence analysis of a linearized Crank-Nicolson scheme for the two-dimensional complex Ginzburg-Landau equation

Cites Work

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• Infinite-dimensional dynamical systems in mechanics and physics
• Hausdorff dimension of a random invariant set
• Attractors for random dynamical systems
• Random attractors
• Global existence theory for a generalized Ginzburg-Landau equation
• Regularity, approximation and asymptotic dynamics for a generalized Ginzburg-Landau equation
• On the cauchy problem of a generalized ginzburg–landau equation
• Stochastic Equations in Infinite Dimensions

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