{"title":"科学工作","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":"{\"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}","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}
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.