Positive similarity solutions for a discrete velocity Boltzmann coagulation-fragmentation model

Abstract

URL: http://www-spht.cea.fr/articles/T93/146International audienceWe consider the Slemrod et al$^{(1)}$ coagulation-fragmentation model which is essentially the 2-dimensional Broadwell model including inelastic collisions. We construct two classes of similarity solutions (variable $\eta =x-\zeta t$), positive for $\eta \in (-\infty ,\infty )$: the Rankine-Hugoniot solutions and the scalar Riccati similarity solutions. Previous solutions were built up with positivity along half of the x-axis. For the two classes we determine in the parameter space, building up the solutions, domains corresponding to positive solutions