EXACT-SOLUTIONS FOR NONCONSERVATIVE BROADWELL-BOLTZMANN MODELS

Extended discrete kinetic theory including sources, sinks, creation an d annihilation of test particles, inelastic scattering, etc added to t he elastic collisions, has recently been introduced, in which, for ins tance polynomials of the mass are added to the mass conservation law w hich becomes nonconservative. Here, to the classical two-and three-dim ensional Broadwell elastic collision models, we associate nonconservat ive models adding, to the conservation law, a polynomial of the second degree. We present a method, for the determination of similarity, per iodic and (1 + I)-dimensional exact solutions with one space variable, that we apply to the Broadwell models with piechor-Platkowski quadrat ic nonconservative terms.