Mathematical Sciences: Asymptotics Beyond All Orders

数学科学：超越所有阶数的渐近学

• 批准号: 9010990
• 负责人: Harvey Segur
• 金额: $ 1万
• 依托单位: University of Colorado at Boulder
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1991
• 资助国家: 美国
• 起止时间: 1991-01-01 至 1991-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9010990&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Asymptotics; Beyond; Orders

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.

这笔赠款用于 1991 年 1 月在加利福尼亚州圣地亚哥举行的渐近展开和微扰理论国际会议。 会议的标题“超越所有阶的渐近学”指的是一小类但很重要的问题，其中传统渐近方法在任何展开阶上均不提供信息。 这种性质的问题并不常见，但并非不可能：流体动力学、等离子体物理学、晶体生长和量子力学中都有这样的例子。 最近，使用几种明显不同的方法已经解决了不同领域中的一些问题。 不同解决方案的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个新兴领域的主要参与者，深入比较他们的问题和解决方法。