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
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.