Kinetic formulation for chromatography and some other hyperbolic systems (Q1914538)

We present several new examples of kinetic formulations for some hyperbolic systems by writing an equation for a whole family of entropies. It appears that, in fact, several families of entropies can be represented in such a way. For instance, in the \(N\times N\) chromatography case, we obtain \(N+ 1\) kinetic representations from which we recover the invariant regions and the stability for weakly convergent initial data by a compensated compactness argument, including the non-strictly hyperbolic case.