Forced Nonlinear Waves

这笔赠款用于生物物理流体力学和非线性波一般领域研究活动的继续和新的发展。这项理论、数值和实验工作涵盖了两个主要领域。一种是以生物体推进为中心的，从低雷诺数类别的原生动物和细菌的鞭毛和纤毛运动到高雷诺数区域的鱼的游动和鸟类和昆虫的飞行。另一个主要的兴趣是关于一般的非线性波动现象。在后一类中，重点是(1)将波的单向传播(如KdV方程所模拟的波)扩展到2维或3维，以及(2)包括外部强迫扰动。这些延伸实际上源于我们之前对海啸的产生及其对沿海水域的终端影响的研究。

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.