Author： Witelski T.P.
Publisher： Springer Publishing Company
ISSN： 0022-0833
Source： Journal of Engineering Mathematics, Vol.45, Iss.3-4, 2003-04, pp. : 379-399
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Abstract
Perturbation methods are applied to study an initial-boundary-value problem for Richards' equation, describing vertical infiltration of water into a finite layer of soil. This problem for the degenerate diffusion equation with convection and Dirichlet/Robin boundary conditions exhibits several different regimes of behavior. Boundary-layer analysis and short-time asymptotics are used to describe the structure of similarity solutions, traveling waves, and other solution states and the transitions connecting these different intermediate asymptotic regimes.
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