Lyapunov functionals for the Enskog-Boltzmann equation Seung Ha 35L4537B25Enskog-Boltzmann equationLyapunov functional$L^1$ stability We present two Lyapunov functionals measuring future interactions between particles with different velocities, and $L^1$-distance between two classical solutions for the Enskog-\linebreak[4] Boltzmann equation, when initial datum is a small perturbation of a vacuum and tends to zero fast enough at infinity in the phase space. These Lyapunov functionals yield time-asymptotic convergence of classical solutions to the collision free motion and the $L^1$ stability of classical solutions. Indiana University Mathematics Journal 2005 text pdf 10.1512/iumj.2005.54.2555 10.1512/iumj.2005.54.2555 en Indiana Univ. Math. J. 54 (2005) 997 - 1014 state-of-the-art mathematics http://iumj.org/access/