Wissenschaftliche Arbeiten

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.