Regularity of the interface for the porous medium equation.
Ko, Youngsang (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Ko, Youngsang (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Garcia-Huidobro, Marta, Manasevich, Raul, Ubilla, Pedro (1995)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Robert Eymard, Raphaèle Herbin, Anthony Michel (2003)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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Models of two phase flows in porous media, used in petroleum engineering, lead to a system of two coupled equations with elliptic and parabolic degenerate terms, and two unknowns, the saturation and the pressure. For the purpose of their approximation, a coupled scheme, consisting in a finite volume method together with a phase-by-phase upstream weighting scheme, is used in the industrial setting. This paper presents a mathematical analysis of this coupled scheme, first showing that...
Fang, Weifu, Ito, Kazufumi (1999)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Electronic Journal of Differential Equations (EJDE) [electronic only]
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Electronic Journal of Differential Equations (EJDE) [electronic only]
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Electronic Journal of Differential Equations (EJDE) [electronic only]
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Electronic Journal of Differential Equations (EJDE) [electronic only]
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Electronic Journal of Differential Equations (EJDE) [electronic only]
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Electronic Journal of Differential Equations (EJDE) [electronic only]
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Electronic Journal of Differential Equations (EJDE) [electronic only]
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Electronic Journal of Differential Equations (EJDE) [electronic only]
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Electronic Journal of Differential Equations (EJDE) [electronic only]
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