On the asymptotic equivalence between the Enskog and the Boltzmann equations in the presence of an external force field (Q804425)

The paper deals with the asymptotic equivalence between the Enskog and the Boltzmann equations in the presence of an external force field, when the scale of the hard - sphere diameter in the Enskog model tends to 0. The asymptotic equivalence is presented when a global existence theorem for the Boltzmann equation in all space holds, and for the force field integrable in time. For example, the force field can be large in modulus and with arbitrary direction as far as it acts for a finite, although large, time interval.