Hydrodynamic theory of flying and swimming of animals

将基于二维Navier-Stokes方程的动物飞行和游泳理论推广到三维空间。将二维理论的建立过程应用于三维情况。结果表明，二维空间中的昆虫悬停佯谬在三维空间中得到了解决。并对几种情况下的悬停稳定性进行了分析。针对低雷诺数下的推进问题，建立了模拟蛋白质机器的水动力学模型。从控制周期、周期增量、能源效率等方面对该模型进行了分析。

The theory of animals' flying and swimming based on the Navier-Stokes equations in two-dimensional space was extended to the three-dimensional case. The procedure to construct the two-dimensional theory was applied to the three-dimensional case. It was shown that the paradox of hovering insect in two-dimensional space is resolved in the three-dimensional case. The stability of the hovering was analyzed for some cases. For the propulsion at low Reynolds numbers, a hydrodynamic model which imitates protein machine was developed. This model has been analyzed in terms of controlling period, increment in a period, and energy efficiency.