Abstract

The axisymmetric motion of a viscous incompressible fluid in a layer bounded by a solid plane and the free surface parallel to it is considered. There are three regimes of motion in the problem: stabilization to rest, collapse in a finite time, and an intermediate self-similar regime in which the viscous layer expands unlimitedly in an infinite time.

中文翻译：

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粘性层变形问题

摘要

考虑了由固体平面和与其平行的自由面所界定的层中的粘性不可压缩流体的轴对称运动。问题中存在三种运动方式：稳定下来休息，在有限时间内崩溃，以及中间自相似机制，其中粘性层在无限时间内无限扩展。