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Solution of degenerate parabolic variational inequalities withconvection

Published online by Cambridge University Press:  15 April 2004

Jozef Kacur  and
Roger Van Keer
Jozef Kacur
Affiliation:
Faculty of Mathematics, Physics and Informatics, Comenius University Mlynská dolina, 84248 Bratislava, Slovakia. [email protected].
Roger Van Keer
Affiliation:
Ghent University, Department of Mathematical Analysis, Galglaan 2, 9000 Gent, Belgium. [email protected].
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Abstract

Degenerate parabolic variational inequalities with convection are solved bymeans of a combined relaxation method and method of characteristics. Themathematical problem is motivated by Richard's equation, modelling theunsaturated – saturated flow in porous media. By means of the relaxationmethod we control the degeneracy. The dominance of the convection iscontrolled by the method of characteristics.

Keywords

Richard's equationconvection-diffusionparabolic variationalinequalities.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 37 , Issue 3 , May 2003 , pp. 417 - 431
Copyright
© EDP Sciences, SMAI, 2003

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