Journal of Statistical Physics, Vol. 56, Nos. I/2, 1989, p. 159-173.
A global existence theorem with large initial data in L1 is given for the modified
Enskog equation in R3. The method, which is based on the existence of a
Liapunov functional (analog of the H-Boltzmann theorem), utilizes a weak
compactness argument in L t in a similar way to the DiPerna-Lions proof for
the Boltzmann equation. The existence theorem is obtained under certain condi-
tion on the behavior of the geometric factor Y. The condition on Y amounts to
the fact that the L1 norm of the collision term grows linearly when the local
density tends to infinity.