On the linear Boltzmann equation with rough granular collisions and spin

Paper in proceeding, 2012

This paper considers the time-and space-dependent linear Boltzmann equation with general boundary conditions in the case of inelastic rough granular collisions. First, in the angular cut-off case or hard sphere case, mild L 1-solutions are constructed as limits of the iterate functions and boundedness of higher velocity moments are discussed in the case of hard inverse power collisions or hard sphere collisions. Furthermore, convergence of solutions to a stationary state, when time goes to infinity, is discussed, using a generalized H-theorem.