Modulation Equation for Stochastic Swift--Hohenberg Equation

DOI10.1137/110846336zbMath1264.60039OpenAlexW2070195387MaRDI QIDQ4918828

Dirk Blömker, Konrad Klepel, Wael W. Mohammed

Publication date: 6 May 2013

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://nbn-resolving.org/urn:nbn:de:bvb:384-opus4-425922

zbMATH Keywords

Ginzburg-Landau equationSwift-Hohenberg equationmultiscale analysisadditive noisemodulation equationstabilization by noise

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10)

Related Items (13)

Modulation equation for SPDEs in unbounded domains with space-time white noise -- linear theory ⋮ Modulation and Amplitude Equations on Bounded Domains for Nonlinear SPDEs Driven by Cylindrical $\alpha$-stable Lévy Processes ⋮ The high-order approximation of SPDEs with multiplicative noise via amplitude equations ⋮ Additive noise destroys the random attractor close to bifurcation ⋮ Patterns and coherence resonance in the stochastic Swift-Hohenberg equation with Pyragas control: the Turing bifurcation case ⋮ Early-warning signs for pattern-formation in stochastic partial differential equations ⋮ The impact of multiplicative noise in SPDEs close to bifurcation via amplitude equations ⋮ Numerical study of amplitude equations for SPDEs with degenerate forcing ⋮ Amplitude equation for the generalized Swift-Hohenberg equation with noise ⋮ Degenerate Nucleation in the Cahn--Hilliard--Cook Model ⋮ Modulation equation and SPDEs on unbounded domains ⋮ Amplitude equations for SPDEs with cubic nonlinearity forced by general multiplicative Gaussian noise ⋮ The impact of white noise on a supercritical bifurcation in the Swift-Hohenberg equation

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