Homogenization of a one-dimensional model for compressible miscible flow in porous media
Bollettino della Unione matematica italiana, Série 8, 6B (2003) no. 2, pp. 399-414
Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica
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.
@article{BUMI_2003_8_6B_2_a8,
author = {Choquet, Catherine},
title = {Homogenization of a one-dimensional model for compressible miscible flow in porous media},
journal = {Bollettino della Unione matematica italiana},
pages = {399--414},
publisher = {mathdoc},
volume = {Ser. 8, 6B},
number = {2},
year = {2003},
zbl = {1177.76404},
mrnumber = {MR1988213},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BUMI_2003_8_6B_2_a8/}
}
TY - JOUR AU - Choquet, Catherine TI - Homogenization of a one-dimensional model for compressible miscible flow in porous media JO - Bollettino della Unione matematica italiana PY - 2003 SP - 399 EP - 414 VL - 6B IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/BUMI_2003_8_6B_2_a8/ LA - en ID - BUMI_2003_8_6B_2_a8 ER -
%0 Journal Article %A Choquet, Catherine %T Homogenization of a one-dimensional model for compressible miscible flow in porous media %J Bollettino della Unione matematica italiana %D 2003 %P 399-414 %V 6B %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/BUMI_2003_8_6B_2_a8/ %G en %F BUMI_2003_8_6B_2_a8
Choquet, Catherine. Homogenization of a one-dimensional model for compressible miscible flow in porous media. Bollettino della Unione matematica italiana, Série 8, 6B (2003) no. 2, pp. 399-414. http://geodesic.mathdoc.fr/item/BUMI_2003_8_6B_2_a8/