Strong solutions for Richards’ equation with Cauchy conditions and constant pressure gradient
Marco Berardi, Fabio V. Difonzo
Environmental Fluid Mechanics, 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.

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