Infiltration in porous media with dynamic capillary pressure: travelling waves

被引：76

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.

引用

页码：381 / 397

页数：17

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