Mathematical Sciences: Asymptotics Beyond All Orders

这项拨款是用于一个关于渐近 1991年1月在维也纳举行的关于膨胀和微扰理论的国际会议 加利福尼亚州圣地亚哥 会议的标题，超越渐近 所有订单，指的是一个小，但重要的一类问题， 其中传统的渐近方法不提供信息 在膨胀的任何阶段。 这种性质的问题是 不寻常的，但不是不可能的：例子是已知的， 流体力学、等离子体物理、晶体生长和量子力学 力学 这些问题中有几个在不同的领域 最近已经解决了，使用几个明显不同的 方法. 不同的解决方法有什么共同点 大部分尚未被探索 这次会议的目的是召集主要的 参与者在这一新兴领域的深入比较， 他们的问题和解决方法。

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.