A one-dimensional flow problem in porous media with hydrophile grains

被引：0
|
作者：
Fasano, A [1 ]
机构：
[1] Univ Florence, Dipartimento Matemat U Dini, I-50134 Florence, Italy
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 1999年 / 22卷 / 07期
关键词：
D O I：
10.1002/(SICI)1099-1476(19990510)22:7<605::AID-MMA55>3.0.CO;2-X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study a free boundary problem describing the propagation of the wetting front following the injection of a liquid into a porous medium with hydrophile granules. The absorption process produces a non-local interaction with the flow so that the porosity appearing in the parabolic equation for pressure is a functional of saturation and of the free boundary. Our analysis is confined to the unsaturated regime, which is the first stage of the process. An existence theorem is proved. Copyright (C) 1999 John Wiley & Sons, Ltd.
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页码：605 / 617
页数：13
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