In this note, Richards' equation for two layered soils is considered in a two-dimensional spatial domain. It is endowed by pressure gradient and pressure condition at the top of domain, and no condition is posed at the bottom of domain. An existence and uniqueness result of strong solutions is obtained for such a problem assuming constant pressure gradient.

Strong solutions for Richards' equation with Cauchy conditions and constant pressure gradient

Marco Berardi
Primo
;
Fabio V Difonzo
Ultimo
2019

Abstract

In this note, Richards' equation for two layered soils is considered in a two-dimensional spatial domain. It is endowed by pressure gradient and pressure condition at the top of domain, and no condition is posed at the bottom of domain. An existence and uniqueness result of strong solutions is obtained for such a problem assuming constant pressure gradient.
2019
Istituto di Ricerca Sulle Acque - IRSA - Sede Secondaria Bari
Richards' equation
Initial value problem
Strong solution s
Layered soils
Unsaturated flow modeling
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/386307
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