Mathematical studies on fluid motions under certain conditions

从数学和数值的角度研究了流体运动。(1)点涡问题：我们的研究是在对点涡的强度和初始位置进行一定假设的情况下进行的。(2)涡旋环等问题：通过理论分析，研究了涡旋的不稳定性。(3) 1,2相流问题：开发和研究了计算机模拟的数值格式。我们的兴趣是保守的方案，以及自然有效的接口确定。

The fluid motion was studied from mathematical and numerical points of view. We focused our attention on the following cases :(1) Point vortex problems : Our studies are made under some assumptions on the strength and initial position of vortices.(2) Problems of vortex ring and so on : By the theoretical analysis, we studied the instability of vortices.(3) 1 or 2 phase-flow problems : The numerical schemes for the computer simulations were developed and studied. Our interests were the conservative schemes, and natural and effective determination of interfaces.