L. Arkeryd et R. Illner, THE BROADWELL MODEL IN A BOX - STRONG L(1)-CONVERGENCE TO EQUILIBRIUM, SIAM journal on applied mathematics, 55(3), 1995, pp. 641-650
The global solution of the one-dimensional Broadwell model in the inte
rval [0,1], with reflecting boundary conditions at 0 and 1, is shown t
o converge strongly in L(1)[0,1] to the constant equilibrium solution.