Approximation of the Heaviside function and uniqueness results for a class of quasilinear elliptic-parabolic problems.
G. Gagneux, F. Guerfi (1990)
Revista Matemática de la Universidad Complutense de Madrid
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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.