GLOBAL BV SOLUTIONS FOR A MODEL OF MULTISPECIES MIXTURE IN POROUS-MEDIA

Authors
AMIRAT Y PENG YJ
Citation
Y. Amirat et Yj. Peng, GLOBAL BV SOLUTIONS FOR A MODEL OF MULTISPECIES MIXTURE IN POROUS-MEDIA, Modelisation mathematique et analyse numerique, 32(7), 1998, pp. 877-895
Citations number
17
Categorie Soggetti
Mathematics,Mathematics
Journal title
Modelisation mathematique et analyse numerique → ACNP
ISSN journal
0764583X
Volume
32
Issue
7
Year of publication
1998
Pages
877 - 895
Database
ISI
SICI code
0764-583X(1998)32:7<877:GBSFAM>2.0.ZU;2-I
Abstract
We consider an initial boundary value problem for a nonlinear differen tial system consisting of one equation of parabolic type coupled with a n x n semi-linear hyperbolic system of first order. This system of e quations describes a model of compressible miscible displacement of n + 1 chemical species in porous media, in the absence of diffusion and dispersion. In one-dimensional space, we construct a global weak solut ion with bounded total variation for the concentration. (C) Elsevier; Paris.