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  Quarterly of Applied Mathematics
Quarterly of Applied Mathematics
  
Online ISSN 1552-4485; Print ISSN 0033-569X
 

Transport of heat and mass in a fluid with vanishing mobility


Author: Catherine Choquet
Journal: Quart. Appl. Math. 66 (2008), 771-779
MSC (2000): Primary 35K60, 35K65, 35B40, 76S05, 35K57.
Published electronically: September 26, 2008
MathSciNet review: 2465144
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Abstract: We study a model describing the compressible displacement of a mixture in a porous medium. The transport of heat and mass is described by a nonlinear, fully coupled and degenerate parabolic system. Using a series of compensated compactness and convexity arguments, we prove the existence of relevant weak solutions.


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Additional Information

Catherine Choquet
Affiliation: Université P. Cézanne, FST, LATP-CNRS UMR 6632, Case Cour A, 13397 Marseille Cedex 20, France
Email: c.choquet@univ-cezanne.fr

DOI: http://dx.doi.org/10.1090/S0033-569X-08-01085-4
PII: S 0033-569X(08)01085-4
Keywords: Nonlinear degenerate parabolic system; compensated compactness; miscible compressible displacement; porous media.
Received by editor(s): July 16, 2007
Published electronically: September 26, 2008
Article copyright: © Copyright 2008 Brown University
The copyright for this article reverts to public domain 28 years after publication.



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