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A rain water infiltration model with unilateral boundary condition: qualitative analysis and numerical simulations
Author(s) -
Borsi I.,
Farina A.,
Primicerio M.
Publication year - 2006
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.763
Subject(s) - infiltration (hvac) , vadose zone , uniqueness , mathematics , surface runoff , boundary value problem , constraint (computer aided design) , richards equation , calculus (dental) , groundwater , mathematical analysis , geotechnical engineering , meteorology , water content , geometry , geology , geography , medicine , ecology , dentistry , biology
We present a rigorous mathematical treatment of a model describing rain water infiltration through the vadose zone in case of runoff of the excess water. The main feature of the mathematical problem emerging from the model lies on the boundary condition on the ground surface which is in the form of a unilateral constraint. Existence and uniqueness of a weak solution is proved under general assumptions. We present also the results of a numerical study comparing the proposed model with other models which approach in a different way the rain water infiltration problem. Copyright © 2006 John Wiley & Sons, Ltd.