The asymptotic behavior of the stochastic Ginzburg–Landau equation with multiplicative noise

DOI10.1063/1.1794365zbMath1064.37038OpenAlexW2046307313MaRDI QIDQ3024096

De Sheng Yang

Publication date: 30 June 2005

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1794365

Mathematics Subject Classification ID

Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) NLS equations (nonlinear Schrödinger equations) (35Q55) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) 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)

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Cites Work

• Hausdorff dimension of a random invariant set
• Attractors for random dynamical systems
• The random attractor of the stochastic Lorenz system
• Stability and random attractors for a reaction-diffusion equation with multiplicative noise
• Upper semicontinuity of attractors for small random perturbations of dynamical systems

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