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

非线性色散波形成和传播的包， 快速振荡的波列 调制方程， 描述这种演变，对于保守系统， 解决方案，首先来自，通过平均法，由Whitham。 拉克斯和Levermore把这项工作在一个分析良定 通过将其与KdV的零色散极限相关联来描述上下文。 最近，色散波的兴趣已被恢复， 许多新的思想和方法的同时发展。 这笔赠款是为了使一些年轻的研究人员能够参加， 参加北约高级研究讲习班， 1991年7月，法国。 他们将有机会与 与世界领先的研究人员在这一领域， 他们的不同方法和图表的新方向和问题， 这个问题的重要性。

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.