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.

这项赠款是针对1991年1月在加利福尼亚州圣地亚哥举行的有关渐近扩张和扰动理论的国际会议。 会议的标题《超出所有订单》的渐近学是指常规渐近方法在任何扩展顺序上不提供任何信息，其中一小部分但重要的问题。 这种性质的问题是不寻常的，但并非不可能：在流体动力学，血浆物理学，晶体生长和量子力学中是已知的例子。 最近，使用几种明显不同的方法解决了这些问题中的几个问题。 不同的解决方案方法的共同点仍未得到探索。 这次会议的目的是召集这个新生领域的主要参与者，以深入比较他们的问题和解决方案方法。