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

这项研究计划将涉及理论， 各种问题的计算和实验研究， 流体力学 这些问题有一个共同的主题 考虑自由边界的粘性流动。 数值 自由表面形状的预测将与 实验测量。 自由表面流动的稳定性，以及 可能的时间依赖流状态，将被检查。 这项工作应有助于增进对 行波，钻孔的传播，钻孔的发展 边浪作用下的沙坝运动 水波

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.