Intermediate asymptotics for Richards' equation in a finite layer

Journal Article

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.

Full Text

Duke Authors

Cited Authors

  • Witelski, TP

Published Date

  • 2003

Published In

  • Journal of Engineering Mathematics

Volume / Issue

  • 45 / 3-4

Start / End Page

  • 379 - 399

Digital Object Identifier (DOI)

  • 10.1023/A:1022609020200