Qualitative, mathematical analysis of the Richards' equation
Abstract
The Richards' equation is widely used as a model for the flow of water in unsatured soils. For modeling one dimensional flow in a homogeneous soil this equation can be cast in the form of a specific nonlinear partial differential equation with a time derivative and one spatial derivative. A survey of recent progress in the pure mathematical analysis of the last equation is carried out and the interpretation of the results of the analysis is emphasized. The results are explained in terms of the qualitative behavior of the flow of water in an unsaturated soil which is described by the Richards' equation.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 October 1990
 Bibcode:
 1990STIN...9118396G
 Keywords:

 Computational Fluid Dynamics;
 Fluid Flow;
 FokkerPlanck Equation;
 Nonlinear Equations;
 Partial Differential Equations;
 Soils;
 Advection;
 Diffusion;
 Mathematical Models;
 Qualitative Analysis;
 Wetting;
 Fluid Mechanics and Heat Transfer