, Volume 59, Issue 3-4, pp 845-867

Global existence in L1 for the Enskog equation and convergence of the solutions to solutions of the Boltzmann equation

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Abstract

For the Enskog equation in a box an existence theorem is proved for initial data with finite mass, energy, and entropy. Then, by letting the diameter of the molecules go to zero, the weak convergence of solutions of the Enskog equation to solutions of the Boltzmann equation is proved.