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一类具两条自由边界的自由边值问题
引用本文:白东华,谭启建.一类具两条自由边界的自由边值问题[J].四川大学学报(自然科学版),1993,30(2):154-163.
作者姓名:白东华  谭启建
作者单位:四川大学数学系 (白东华),四川教育学院(谭启建)
摘    要:1977—1978年,L.C.Evans研究了两种不可溶混液体在水平的一维孔隙介质中流动引起的一个自由边值问题,自由边界有一条.我们研究两种不可溶混液体在铅直的半无界孔隙介质中的不稳定流动引起的自由边值问题.在此种情形下,将会出现两条自由边界.我们证明了这一问题局部解的存在唯一性.

关 键 词:自由边界问题  两相渗流  局部解

ON THE FREE BOUNDARY PROBLEM WITH TWO FREE BUNDARIES
Bai Donghua Tang Qijum.ON THE FREE BOUNDARY PROBLEM WITH TWO FREE BUNDARIES[J].Journal of Sichuan University (Natural Science Edition),1993,30(2):154-163.
Authors:Bai Donghua Tang Qijum
Institution:Bai Donghua Tang Qijum (Sichuan University) ( Sichuan Edicational College)
Abstract:1977-1978, L C Evans considered a free boundary problem arised by the flow of two immiscible fluids in a one-dimensional porous medium and with one free boundary. In this paper we consider another free boundary problem, which is arised by instable flow of two immiscible fluids in perpendicular half unbounded porous medium. In this case, there are two free boundary, it is a new problem, we obtained the existence and the unequeness of local solution of this problem.
Keywords:free boundary problem  immiscible fluid  local solution  
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