Mathematical Sciences: Regional Conference on Nonlinear Dispersive Wave Systems at Orlando, Florida on December 17-21, 1990

数学科学：非线性色散波系统区域会议，佛罗里达州奥兰多，1990 年 12 月 17-21 日

• 批准号: 8913425
• 负责人: Lokenath Debnath
• 金额: $ 2.5万
• 依托单位: The University of Central Florida Board of Trustees
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1990
• 资助国家: 美国
• 起止时间: 1990-05-01 至 1991-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8913425&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Regional; Conference; Nonlinear

This project is a CBMS Regional Conference in the Mathematical Sciences entitled "Non-linear Dispersive Wave Systems". This conference will be held at the University of Central Florida in December, 1990. This field has recently been spurred by developments of practical necessity in many areas of science and engineering, and new ideas have surfaced, giving it yet further impetus. These include fruitful use of algebraic techniques, the extension of Benjamin's stability theory, more reliance on Hamiltonian formulations, the use of computational techniques as an investigative tool, and the new perturbation theories for integrable systems. Professor Benjamin will present a unified mathematical treatment of the classical aspects of the field, as well as new results on hydrodynamic stability and instability.

该项目是建立信任措施的数学科学区域会议，题为“非线性色散波系统”。这次会议将于1990年12月在中佛罗里达大学举行。这一领域最近受到许多科学和工程领域的实际需要的发展的推动，新的想法浮出水面，进一步推动了这一领域的发展。其中包括代数技巧的有效应用、本杰明稳定性理论的扩展、对哈密顿公式的更多依赖、作为研究工具的计算技术的使用以及可积系统的新的扰动理论。本杰明教授将介绍该领域经典方面的统一数学处理，以及关于流体动力稳定性和不稳定性的新结果。