A Hyperbolic Obstacle Problem with an Adhesion Force

A Hyperbolic Obstacle Problem with an Adhesion Force
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具有粘附力的双曲线障碍问题

DOI:
10.1007/978-3-319-66764-5_12
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发表时间:
2015
期刊:
arXiv: Analysis of PDEs
影响因子:
--
通讯作者:
S. Omata
S. Omata
中科院分区:
--
文献类型:
--
作者:
S. Omata

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在这一节中我们将讨论波动型自由边界问题。我们想到的物理现象的例子是附着在水面上的肥皂膜的运动或平面上的液滴运动。该表面充当障碍物,并且当膜或液滴从障碍物分离时可能存在粘附力。我们考虑在平衡状态下具有正接触角的情况。根据动力学作用泛函计算了移动接触角。
We will treat free boundary problems of a wave type in this section. Examples of the physical phenomena that we have in mind are a motion of a soap film attached to a water surface or a droplet motion on a planner surface. The surface acts as an obstacle and there may exist adhesion forces when the film or the droplet detach from the obstacle. We consider the case with a positive contact angle in an equilibrium state. We also calculate the moving contact angle according to a dynamical action functional.