Abstract
Various existence theorems are given for the generalized Enskog equation inR 3 and in a bounded spatial domain with periodic boundary conditions. A very general form of the geometric factorY is allowed, including an explicit space, velocity, and time dependence. The method is based on the existence of a Liapunov functional, an analog of theH-function in the Boltzmann equation, and utilizes a weak compactness argument inL 1.
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Polewczak, J. Global existence inL 1 for the generalized Enskog equation. J Stat Phys 59, 461–500 (1990). https://doi.org/10.1007/BF01015578
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DOI: https://doi.org/10.1007/BF01015578