Mathematical Sciences: Singular Limits of Dispersive Waves; July 8-12, 1991, Lyon, France

非线性色散波以快速振荡波串的形式形成和传播。描述这种演化的调制方程，对于具有精确解的保守系统，首先是由Whitham通过平均方法推导出来的。Lax和Levermore通过将其与KdV的零色散极限联系起来，将这项工作置于一个解析的适定环境中。近年来，由于许多新思想和新方法的同步发展，人们对色散波的兴趣重新燃起。这笔赠款是为了使一些年轻的研究人员能够出席和参加将于1991年7月在法国举行的北约高级研究讲习班。他们将有机会与这一领域的世界领先研究人员交流，分享他们不同的方法，并在这一主题中制定新的方向和重要问题。

Nonlinear dispersive waves form and propagate as packets of rapidly oscillating wavetrains. Modulation equations which describe this evolution, for conservative systems with exact solutions, were first derived, via an averaging method, by Whitham. Lax and Levermore placed this work in an analytically well-posed context by relating it to the zero dispersion limit of KdV. Recently, interest in dispersive waves has been renewed by the simultaneous development of many new ideas and methods. This grant is to enable some young researchers to attend and participate in a NATO Advanced Research Workshop to be held in France in July, 1991. They will have the opportunity to interact with the world's leading researchers in this area as they share their diverse approaches and chart new directions and problems of importance in this subject.