KINETIC FORMULATION FOR CHROMATOGRAPHY AND SOME OTHER HYPERBOLIC SYSTEMS

Citation
F. James et al., KINETIC FORMULATION FOR CHROMATOGRAPHY AND SOME OTHER HYPERBOLIC SYSTEMS, Journal de mathematiques pures et appliquees, 74(4), 1995, pp. 367-385
Citations number
21
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
ISSN journal
00217824
Volume
74
Issue
4
Year of publication
1995
Pages
367 - 385
Database
ISI
SICI code
0021-7824(1995)74:4<367:KFFCAS>2.0.ZU;2-Z
Abstract
We present several new examples of kinetic formulations for some hyper bolic systems, which is to write an equation for a whole family of ent ropies. It appears that, in fact, several families of entropies can be represented in such a way. For instance, in the N x N chromatography case, we obtain N + 1 kinetic representations from which we recover th e invariant regions and the stability for weakly convergent initial da ta by a compensated compactness argument, including the non-strictly h yperbolic case.