The relativistic Enskog equation near the vacuum in the Robertson–Walker space-time

Abstract

Abstract In this paper, we consider the Cauchy problem for the relativistic Enskog equation with near vacuum data for a hard sphere gas in the Robertson–Walker space-time. We prove an existence and uniqueness result of the global (in time) mild solution in a suitable weighted space. We also study the asymptotic behavior of the solution as well as the {L^{\infty}} -stability.