Abstract
In recent years, it has become increasingly clear that the standard method of modeling hydrodynamic dispersion in groundwater flow by diffusion is often unsatisfactory. In the last few years, several authors have tried to overcome this problem by modeling subsurface flow by flow in a network. This has had some success and even some agreement with experiment. This work will lay the mathematical foundations for such models which, up to this point in time, have been studied only numerically. A well-posedness result is obtained for a class of these models. Some qualitative properties of solutions, such as positivity, ordering, and boundedness are also given.
Original language | English (US) |
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Pages (from-to) | 223-240 |
Number of pages | 18 |
Journal | Applied Mathematics and Computation |
Volume | 112 |
Issue number | 2-3 |
DOIs | |
State | Published - Jun 15 2000 |
Externally published | Yes |
Keywords
- Convection
- Diffusion
- Flow in porous media
- Networks
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics