Homogenization of a one-dimensional model for compressible miscible flow in porous media
Choquet, Catherine
Bollettino dell'Unione Matematica Italiana, Tome 6-A (2003), p. 399-414 / Harvested from Biblioteca Digitale Italiana di Matematica
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We discuss the homogenization of a one-dimensional model problem describing the motion of a compressible miscible flow in porous media. The flow is governed by a nonlinear system of parabolic type coupling the pressure and the concentration. Using the technique of renormalized solutions for parabolic equations and a compensated compactness argument, we prove the stability of the homogenization process.

Si considera un modello unidimensionale di flusso in un mezzo poroso eterogeneo di due fluidi miscibili e compressibili. Si studia l'omogeneizzazione del sistema parabolico che governa tale flusso, e si dimostra la stabilità della derivazione al livello macroscopico.

Publié le : 2003-06-01
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     author = {Catherine Choquet},
     title = {Homogenization of a one-dimensional model for compressible miscible flow in porous media},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {6-A},
     year = {2003},
     pages = {399-414},
     zbl = {1177.76404},
     mrnumber = {1988213},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2003_8_6B_2_399_0}
}

Choquet, Catherine. Homogenization of a one-dimensional model for compressible miscible flow in porous media. Bollettino dell'Unione Matematica Italiana, Tome 6-A (2003) pp. 399-414. http://gdmltest.u-ga.fr/item/BUMI_2003_8_6B_2_399_0/

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