Mathematical Sciences: Asymptotics Beyond All Orders

这项经费将用于1991年1月在加州圣地亚哥举行的关于渐近展开和摄动理论的国际会议。会议的标题是“超越所有阶的渐近”，指的是一类小而重要的问题，在这些问题中，传统的渐近方法在任何阶的展开上都不能提供信息。这种性质的问题不常见，但并非不可能：在流体力学、等离子体物理学、晶体生长和量子力学中都有众所周知的例子。最近，在许多不同领域的这些问题中，有几个已经用几种明显不同的方法得到了解决。不同的解决方法有什么共同点，在很大程度上仍未被探索。这次会议的目的是召集这一新兴领域的主要参与者，深入比较他们的问题及其解决方法。

This grant is for an international conference on asymptotic expansion and perturbation theory to be held in January 1991 at San Diego, CA. The title of the conference, Asymptotics Beyond All Orders, refers to a small but significant class of problems in which conventional asymptotic methods provide no information at any order of the expansion. Problems of this nature are unusual, but not impossible: examples are known in hydrodynamics, plasma physics, crystal growth, and quantum mechanics. Several of these problems in widely different fields have been solved recently, using several apparently different methods. What the different methods of solution have in common is still largely unexplored. The purpose of this conference is to convene the principal participants in this nascent field for an in-depth comparison of their problems and their methods of solution.