C. Cercignani, GLOBAL EXISTENCE FOR A SEMICONTINUOUS MOD EL OF THE BOLTZMANN-EQUATION, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 321(1), 1995, pp. 125-129
We prove global existence for a semicontinuous kinetic model, which in
the space homogeneous case reduces to the particular case of the semi
continuous model introduced by Cabannes in 1980 [3]. In the space inho
mogeneous case the model call be considered as a continuous version of
the Carleman model.