科学工作

W. Düll
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引用次数: 1

摘要

具有边缘稳定长模态的模式形成系统的Ginz-burg-Landau模态分布的吸引性。二维NLS方程的证明-二次共振在解析初始条件下不重要。有限深度沟渠中重力驱动二维表面水波演化的非线性Schrödinger方程的证明。拟线性二次项方程的时间振荡长波逼近。具有空间局域放大的空间扩展反应-扩散-对流系统中分岔不变环面的存在性。KdV方程对NLS方程中周期行波调制的有效性。[10] W.-P。好吧。真实金兹堡-朗道方程中微不稳定模式调制的Cahn-Hilliard近似的有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Wissenschaftliche Arbeiten
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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