论文标题
在多孔介质流中进行重力指法的行动波解决方案
Travelling wave solutions for gravity fingering in porous media flows
论文作者
论文摘要
我们研究多孔媒体的吸气问题。当湿层在干燥的培养基上方时，重力会导致水向下传播到培养基中。在实验中，观察到手指的发生，可以用包括滞后的模型来描述这种现象。在本文中，我们描述了一个移动框架中的一根手指，并设置了一个自由边界问题，以描述一个手指以恒定速度传播的形状和运动。我们展示了波动波问题的解决方案的存在，并以数值为单位进行了调查。
We study an imbibition problem for porous media. When a wetted layer is above a dry medium, gravity leads to the propagation of the water downwards into the medium. In experiments, the occurrence of fingers was observed, a phenomenon that can be described with models that include hysteresis. In the present paper, we describe a single finger in a moving frame and set up a free boundary problem to describe the shape and the motion of one finger that propagates with a constant speed. We show the existence of solutions to the travelling wave problem and investigate the system numerically.
