Forced Nonlinear Waves

受迫非线性波

• 批准号: 8706045
• 负责人: Theodore Wu
• 金额: $ 16.24万
• 依托单位: California Institute of Technology
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1987
• 资助国家: 美国
• 起止时间: 1987-08-01 至 1990-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8706045&HistoricalAwards=false
• 关键词: Forced; Nonlinear; Waves

This grant is for the continuation and new development of research activities in the general areas of biophysical fluid mechanics and nonlinear waves. This theoretical, numerical and experimental work covers two major areas. One is centered about organism propulsion that ranges from flagellar and ciliary locomotion of protozoans and bacteria in the low-Reynolds-number category to the swimming of fish and flight of birds and insects in the high-Reynolds-number regime. The other major interest is concerned with nonlinear wave phenomena in general. In the latter class, emphasis has been put on (1) extending unidirectional propagation of waves (like those modeled by the KdV equation) to 2- or 3-dimensions, and (2) including external forcing disturbances. These extensions actually originated from our previous research on tsunami generation and the terminal effects on coastal waters.

这项拨款用于生物物理流体力学和非线性波一般领域的研究活动的继续和新发展。这项理论、数值和实验工作涵盖两个主要领域。一种是关于生物推进的，从低雷诺数的原生动物和细菌的鞭毛和纤毛运动到高雷诺数的鱼类的游泳和鸟类和昆虫的飞行。另一个主要兴趣是一般的非线性波动现象。在后一类中，重点放在(1)将波的单向传播（如由KdV方程建模的波）扩展到二维或三维，以及(2)包括外部强迫干扰。这些延伸实际上源于我们之前关于海啸产生和对沿海水域的终端效应的研究。