{"title":"Wissenschaftliche Arbeiten","authors":"W. Düll","doi":"10.2307/j.ctvfc56gd.9","DOIUrl":null,"url":null,"abstract":"Attractivity of the Ginz-burg-Landau mode distribution for a pattern forming system with marginally stable long modes. Justification of the 2D NLS equation – Quadratic resonances do not matter in case of analytic initial conditions. Justification of the Nonlinear Schrödinger equation for the evolution of gravity driven 2D surface water waves in a canal of finite depth. approximation of time oscillatory long waves for equations with quasilinear quadratic terms. The existence of bifurcating invariant tori in a spatially extended reaction-diffusion-convection system with spatially localized amplification. Validity of the KdV equation for the modulation of periodic traveling waves in the NLS equation. [10] W.-P. D ¨ ull. Validity of the Cahn-Hilliard approximation for modulations of slightly unstable pattern in the real Ginzburg-Landau equation.","PeriodicalId":247267,"journal":{"name":"Kompetenzorientiert prüfen und bewerten an Universitäten","volume":"27 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Kompetenzorientiert prüfen und bewerten an Universitäten","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2307/j.ctvfc56gd.9","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
Attractivity of the Ginz-burg-Landau mode distribution for a pattern forming system with marginally stable long modes. Justification of the 2D NLS equation – Quadratic resonances do not matter in case of analytic initial conditions. Justification of the Nonlinear Schrödinger equation for the evolution of gravity driven 2D surface water waves in a canal of finite depth. approximation of time oscillatory long waves for equations with quasilinear quadratic terms. The existence of bifurcating invariant tori in a spatially extended reaction-diffusion-convection system with spatially localized amplification. Validity of the KdV equation for the modulation of periodic traveling waves in the NLS equation. [10] W.-P. D ¨ ull. Validity of the Cahn-Hilliard approximation for modulations of slightly unstable pattern in the real Ginzburg-Landau equation.
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