Mathematical Sciences: Development of Mathematical Methods for Fluid Dynamics and Related Sciences

数学科学：流体动力学及相关科学数学方法的发展

• 批准号: 9424508
• 负责人: Mei-Chang Shen
• 金额: $ 14.32万
• 依托单位: University of Wisconsin-Madison
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1995
• 资助国家: 美国
• 起止时间: 1995-07-01 至 1999-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9424508&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Development; Methods; Fluid

DMS-9424508 Shen The proposed research project will concentrate on the development of asymptotics, rigorous analysis and numerical methods for the investigation of surface wave resonance, internal waves in a density-stratified fluid over an obstacle, biological fluid flow in elastic tubes, surface waves on a ferromagnetic fluid, and WKB approximation without a small parameter. The research results to be obtained will have possible applications to the following areas: design of control devices in space science, atmospheric waves with oscillatory tails past a mountain range, blood flow in blood vessels, and solutions of physical problems without a parameter in nuclear engineering, geophysics, theoretical chemistry and others.

DMS-9424508 Shen拟议的研究项目将集中于开发渐近性、严格分析和数值方法，用于调查表面波共振、障碍物上方密度分层流体中的内波、弹性管中的生物流体流动、铁磁流体上的表面波以及没有小参数的WKB近似。 所取得的研究成果将有可能应用于下列领域：空间科学中控制装置的设计、越过山脉的具有振荡尾部的大气波、血管中的血流、以及在核工程、电子物理学、理论化学和其他领域中无参数的情况下解决物理问题。