Advances in Differential Equations

Two compressible immiscible fluids in porous media: the case where the porosity depends on the pressure

Stéphane Brull

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Abstract

Consider a model of flow of two compressible or incompressible and immiscible phases in a three dimensional porous media. The existence of a weak solution is obtained for two compressible immiscible fluids when the porosity depends on the global pressure and on the space variable.

Article information

Source
Adv. Differential Equations Volume 13, Number 7-8 (2008), 781-800.

Dates
First available in Project Euclid: 18 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.ade/1355867336

Mathematical Reviews number (MathSciNet)
MR2479030

Zentralblatt MATH identifier
1173.35400

Subjects
Primary: 35Q35: PDEs in connection with fluid mechanics
Secondary: 35D05 76S05: Flows in porous media; filtration; seepage

Citation

Brull, Stéphane. Two compressible immiscible fluids in porous media: the case where the porosity depends on the pressure. Adv. Differential Equations 13 (2008), no. 7-8, 781--800. https://projecteuclid.org/euclid.ade/1355867336.


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Advances in Differential Equations

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