Approximation of the Heaviside function and uniqueness results for a class of quasilinear elliptic-parabolic problems. Approximations de la fonction de Heaviside et résultats d'unicité pour une classe de problèmes quasilinéaires elliptiques-paraboliques.

G. Gagneux; F. Guerfi

Revista Matemática de la Universidad Complutense de Madrid (1990)

  • Volume: 3, Issue: 1, page 59-87
  • ISSN: 1139-1138

Abstract

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In this paper, we concern ourselves with uniqueness results for an elliptic-parabolic quasilinear partial differential equation describing, for instance, the pressure of a fluid in a three-dimensional porous medium: within the frame of mathematical modeling of the secondary recovery from oil fields, the handling of the component conservation laws leads to a system including such a pressure equation, locally elliptic or parabolic according to the evolution of the gas phase.

How to cite

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Gagneux, G., and Guerfi, F.. "Approximation of the Heaviside function and uniqueness results for a class of quasilinear elliptic-parabolic problems.." Revista Matemática de la Universidad Complutense de Madrid 3.1 (1990): 59-87. <http://eudml.org/doc/43716>.

@article{Gagneux1990,
abstract = {In this paper, we concern ourselves with uniqueness results for an elliptic-parabolic quasilinear partial differential equation describing, for instance, the pressure of a fluid in a three-dimensional porous medium: within the frame of mathematical modeling of the secondary recovery from oil fields, the handling of the component conservation laws leads to a system including such a pressure equation, locally elliptic or parabolic according to the evolution of the gas phase.},
author = {Gagneux, G., Guerfi, F.},
journal = {Revista Matemática de la Universidad Complutense de Madrid},
keywords = {Ecuaciones no lineales; Ecuaciones parabólicas; diffusion; existence; uniqueness; stationary problem; evolution problem},
language = {eng},
number = {1},
pages = {59-87},
title = {Approximation of the Heaviside function and uniqueness results for a class of quasilinear elliptic-parabolic problems.},
url = {http://eudml.org/doc/43716},
volume = {3},
year = {1990},
}

TY - JOUR
AU - Gagneux, G.
AU - Guerfi, F.
TI - Approximation of the Heaviside function and uniqueness results for a class of quasilinear elliptic-parabolic problems.
JO - Revista Matemática de la Universidad Complutense de Madrid
PY - 1990
VL - 3
IS - 1
SP - 59
EP - 87
AB - In this paper, we concern ourselves with uniqueness results for an elliptic-parabolic quasilinear partial differential equation describing, for instance, the pressure of a fluid in a three-dimensional porous medium: within the frame of mathematical modeling of the secondary recovery from oil fields, the handling of the component conservation laws leads to a system including such a pressure equation, locally elliptic or parabolic according to the evolution of the gas phase.
LA - eng
KW - Ecuaciones no lineales; Ecuaciones parabólicas; diffusion; existence; uniqueness; stationary problem; evolution problem
UR - http://eudml.org/doc/43716
ER -

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