# Solution of degenerate parabolic variational inequalities with convection

- Volume: 37, Issue: 3, page 417-431
- ISSN: 0764-583X

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topKacur, Jozef, and Keer, Roger Van. "Solution of degenerate parabolic variational inequalities with convection." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 37.3 (2003): 417-431. <http://eudml.org/doc/245623>.

@article{Kacur2003,

abstract = {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.},

author = {Kacur, Jozef, Keer, Roger Van},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},

keywords = {Richard’s equation; convection-diffusion; parabolic variational inequalities; Richard's equation; convection-diffusion variational inequality; method of characteristics; convergence},

language = {eng},

number = {3},

pages = {417-431},

publisher = {EDP-Sciences},

title = {Solution of degenerate parabolic variational inequalities with convection},

url = {http://eudml.org/doc/245623},

volume = {37},

year = {2003},

}

TY - JOUR

AU - Kacur, Jozef

AU - Keer, Roger Van

TI - Solution of degenerate parabolic variational inequalities with convection

JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

PY - 2003

PB - EDP-Sciences

VL - 37

IS - 3

SP - 417

EP - 431

AB - 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.

LA - eng

KW - Richard’s equation; convection-diffusion; parabolic variational inequalities; Richard's equation; convection-diffusion variational inequality; method of characteristics; convergence

UR - http://eudml.org/doc/245623

ER -

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