GRK 283: Nonlinear Problems in Analysis, Geometry and Physics

该研究培训小组的目的是促进青年科学家在"分析、几何和物理中的非线性问题"方面的研究。主题的范围从纯数学和理论物理的基本问题到数学和物理的各种应用，在某种程度上甚至到物理，化学和技术过程中的具体应用。由于该计划的跨学科性质，使用的方法广泛：分析，几何和拓扑学的严格数学结论;典型的物理学家的思维方式，特别是统计和非线性物理学以及固态物理学;数值近似和基于计算机的可视化。

The aim of this research training group is to promote young scientistswithin the context of "Nonlinear Problems in Analysis, Geometry andPhysics". The spectrum of themes ranges from fundamental problems inpure mathematics and theoretical physics to various applications inmathematics and physics, to some extent even to concrete applications in physical, chemical and technological processes. Due to theinterdisciplinary character of this program the methods being used arewidespread: rigorous mathematical conclusions of analysis, geometry and topology; the typical physisists' ways of thinking, in particularfrom statistical and nonlinear physics as well as solid state physics;numerical approximations and computer based visualizations.