Stochastic amplitude equation for the stochastic generalized Swift-Hohenberg equation

DOI10.1016/J.JOEMS.2014.10.005zbMath1329.60217OpenAlexW2094901170MaRDI QIDQ900493

Wael W. Mohammed

Publication date: 22 December 2015

Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.joems.2014.10.005

zbMATH Keywords

multi-scale analysisstochastic generalized Swift-Hohenberg equationstochastic amplitude equation

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Initial-boundary value problems for higher-order parabolic equations (35K35) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (4)

Amplitude equation with quintic nonlinearities for the generalized Swift-Hohenberg equation with additive degenerate noise ⋮ Impacts of Brownian motion and fractional derivative on the solutions of the stochastic fractional Davey-Stewartson equations ⋮ The impact of the Wiener process on solutions of the potential Yu-Toda-Sasa-Fukuyama equation in a two-layer liquid ⋮ Effective splitting of invariant measures for a stochastic reaction diffusion equation with multiplicative noise

Cites Work

• Amplitude equation for SPDEs with quadratic nonlinearities
• The stochastic Landau equation as an amplitude equation
• Multiscale expansion of invariant measures for SPDEs
• Multi-scale analysis of SPDEs with degenerate additive noise
• Amplitude equation for the generalized Swift-Hohenberg equation with noise
• Amplitude Equations for Locally Cubic Nonautonomous Nonlinearities
• Pattern formation outside of equilibrium
• Amplitude equations for SPDEs with cubic nonlinearities
• APPROXIMATION OF THE STOCHASTIC RAYLEIGH–BÉNARD PROBLEM NEAR THE ONSET OF CONVECTION AND RELATED PROBLEMS
• Stochastic Equations in Infinite Dimensions

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