On nonlinear amplitude evolution under stochastic forcing

DOI10.1016/S0096-3003(99)00016-8zbMath1032.35161OpenAlexW1992658945MaRDI QIDQ1569165

Vincent J. Ervin, Jin-qiao Duan

Publication date: 25 June 2000

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(99)00016-8

zbMATH Keywords

global existence and uniquenessrandomly forced Ginzburg-Landau equation

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Stochastic analysis applied to problems in fluid mechanics (76M35) NLS equations (nonlinear Schrödinger equations) (35Q55) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Infinite-dimensional random dynamical systems; stochastic equations (37L55)

Related Items (1)

Dynamics for the complex Ginzburg-Landau equation on non-cylindrical domains I: The diffeomorphism case

Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• Dimension of the attractors associated to the Ginzburg-Landau partial differential equation
• Periodic and quasi-periodic solutions of degenerate modulation equations
• Infinite-dimensional dynamical systems in mechanics and physics
• Linear stability analysis for bifurcations in spatially extended systems with fluctuating control parameter
• The effect of nonlocal interactions on the dynamics of the Ginzburg-Landau equation
• Low-dimensional behaviour in the complex Ginzburg-Landau equation
• Ergodicity for Infinite Dimensional Systems
• Stochastic Burgers' equation
• Stochastic Equations in Infinite Dimensions

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