具有两种流体的轴对称渗流的一个自由边界问题  

A FREE BOUNDARY PROBLEM IN AXISYMMETRIC FILTRATION WITH TWO FLUIDS

作　　者：闻国椿[1] 

机构地区：[1]北京大学数学系,北京100871

出　　处：《应用数学学报》1998年第1期139-143,共5页Acta Mathematicae Applicatae Sinica

摘　　要：本文处理带有两种流体的轴对称的一个自由边界问题，其中在渗流区域的上部是油，下部是水，这是同时取油注水的一个数学模型．下面，我们将用复分析方法求出此自由边界问题的一个解，并证明其解的唯一性．This paper deals with a free boundary problem in axisymmetric filtration withtwo fluids, where the supper level in the filtration domain is the oil and lower level is thewater, this is a mathematical model of oil extraction and water flooding simultaneously. Inwhich, describing the model is a free boundary problem for elliptic complex equation. In thefollowing, we shall use the complex method to find a solution of the free boundary problemand to prove the uniqueness of its solutions.

关 键 词：自由边界问题 椭圆型复方程 渗流 轴对称渗流 

分 类 号：O357.3[理学—流体力学] O175.25[理学—力学]