Solution of degenerate parabolic variational inequalities with convection
Faculty of Mathematics, Physics and Informatics, Comenius University Mlynská dolina, 84248 Bratislava, Slovakia. firstname.lastname@example.org.
2 Ghent University, Department of Mathematical Analysis, Galglaan 2, 9000 Gent, Belgium. email@example.com.
Degenerate parabolic variational inequalities with convection are solved by means of a combined relaxation method and method of characteristics. The mathematical problem is motivated by Richard's equation, modelling the unsaturated – saturated flow in porous media. By means of the relaxation method we control the degeneracy. The dominance of the convection is controlled by the method of characteristics.
Mathematics Subject Classification: 65M25 / 65M12
Key words: Richard's equation / convection-diffusion / parabolic variational inequalities.
© EDP Sciences, SMAI, 2003