论文标题
统一的方法是不可能的无限自由边界流的有限时间消失的深度
A unified approach towards the impossibility of finite time vanishing depth for incompressible free boundary flows
论文作者
论文摘要
在本文中，我们研究了内部水波和多孔介质中内波的运动。对于这些问题，我们确定，如果自由边界以及在Euler方程的情况下，界面处的切向速度也足够光滑，则深度在有限的时间内就不会消失。该结果不管重力和表面张力效应如何，或者（如果适用）多相流中的分层。
In this paper we study the motion of an internal water wave and an internal wave in a porous medium. For these problems we establish that, if the free boundary and, in the case of the Euler equations, also the tangential velocity at the interface are sufficiently smooth, the depth cannot vanish in finite time. This results holds regardless of gravity and surface tension effects or, if applicable, the stratification in multiphase flows.
