Infiltration in porous media with dynamic capillary pressure: travelling waves

被引：74
|
作者：
Cuesta, C
van Duijn, CJ
Hulshof, J
机构：
[1] CWI, NL-1090 GB Amsterdam, Netherlands
[2] Leiden Univ, Dept Math, NL-2333 CA Leiden, Netherlands
来源：
EUROPEAN JOURNAL OF APPLIED MATHEMATICS | 2000年 / 11卷
关键词：
D O I：
10.1017/S0956792599004210
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a model for non-static groundwater flow where the saturation-pressure relation is extended by a dynamic term. This approach, together with a convective term due to gravity, results in a pseudo-parabolic Burgers type equation. We give a rigorous study of global travelling-wave solutions, with emphasis on the role played by the dynamic term and the appearance of fronts.
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页码：381 / 397
页数：17
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