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Intermediate asymptotics for Richards' equation in a finite layer

Publication ,  Journal Article
Witelski, TP
Published in: Journal of Engineering Mathematics
April 1, 2003

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.

Duke Scholars

Published In

Journal of Engineering Mathematics

DOI

ISSN

0022-0833

Publication Date

April 1, 2003

Volume

45

Issue

3-4

Start / End Page

379 / 399

Related Subject Headings

  • Applied Mathematics
  • 4901 Applied mathematics
  • 0913 Mechanical Engineering
  • 0103 Numerical and Computational Mathematics
  • 0102 Applied Mathematics
 

Citation

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Witelski, T. P. (2003). Intermediate asymptotics for Richards' equation in a finite layer. Journal of Engineering Mathematics, 45(3–4), 379–399. https://doi.org/10.1023/A:1022609020200
Witelski, T. P. “Intermediate asymptotics for Richards' equation in a finite layer.” Journal of Engineering Mathematics 45, no. 3–4 (April 1, 2003): 379–99. https://doi.org/10.1023/A:1022609020200.
Witelski TP. Intermediate asymptotics for Richards' equation in a finite layer. Journal of Engineering Mathematics. 2003 Apr 1;45(3–4):379–99.
Witelski, T. P. “Intermediate asymptotics for Richards' equation in a finite layer.” Journal of Engineering Mathematics, vol. 45, no. 3–4, Apr. 2003, pp. 379–99. Scopus, doi:10.1023/A:1022609020200.
Witelski TP. Intermediate asymptotics for Richards' equation in a finite layer. Journal of Engineering Mathematics. 2003 Apr 1;45(3–4):379–399.
Journal cover image

Published In

Journal of Engineering Mathematics

DOI

ISSN

0022-0833

Publication Date

April 1, 2003

Volume

45

Issue

3-4

Start / End Page

379 / 399

Related Subject Headings

  • Applied Mathematics
  • 4901 Applied mathematics
  • 0913 Mechanical Engineering
  • 0103 Numerical and Computational Mathematics
  • 0102 Applied Mathematics