Mathematical Sciences: Conference: Similarity Solutions of Differential Equations; to be held April 26-28, 1991 in Pittsburg, Pennsylvania

数学科学：会议：微分方程的相似解；

• 批准号: 9019892
• 负责人: Stuart Hastings
• 金额: $ 0.75万
• 依托单位: University of Pittsburgh
• 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: 1991-02-01 至 1992-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9019892&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Conference; Similarity; Solutions

The topic of this conference is various aspects of similarity solutions of differential equations (solutions obtained by the classical Lie group method or generalizations), the occurrence of similarity solutions in applicable situations, the study of similarity solutions of particular equations, and the relation of similarity solutions to more general solutions of the relevant equations. Subjects to be discussed include travelling waves for reaction-diffusion equations, blow-up and quenching problems, equations soluble by inverse scattering and the Painleve transcendent equations, and boundary layer problems. This grant will help support a conference to be held at the University of Pittsburgh on April 26-28, 1991, whose goals are to provide a forum for the exchange of ideas and results on the leading edge of research in this topic.

本次会议的主题是 微分方程的相似解（解 通过经典李群方法或推广获得）， 在适用的情况下出现相似的解决方案， 研究特定方程的相似解，以及 相似解与更一般解的关系 相关的方程式。 讨论的主题包括 行波反应扩散方程，爆破和 淬火问题，方程的逆散射和 Painleve超越方程和边界层问题。 这笔赠款将用于支持在纽约举行的一次会议。 匹兹堡大学，1991年4月26日至28日，其目标是 提供一个论坛，供各方交流意见， 前沿研究在这个主题。