Mathematical Sciences: Mathematical, Numerical, and Experimental Analysis of Fluid Motions

这项研究计划将涉及流体力学中各种问题的理论、计算和实验研究。这些问题的共同主题是考虑具有自由边界的粘性流动。自由表面形状的数值预测将与实验测量结果进行比较。将考察自由面流动的稳定性，以及可能的随时间变化的流动状态。这项工作应该有助于更好地理解行波、钻孔的传播、边缘波的发展以及沙洲在水波作用下的运动。

This research program will involve theoretical, computational, and experimental studies of various problems in fluid mechanics. The problems have as a common theme consideration of viscous flows with free boundaries. Numerical predictions of free surface shapes will be compared with experimental measurements. Stability of free surface flows, and possible time-dependent flow states, will be examined. This work should lead to an improved understanding of travelling waves, the propogation of bores, the development of edge waves, and the movement of sand bars under the action of water waves.