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

  • Fidele Lavenir Ciake Ciake ORCID logo EMAIL logo and Etienne Takou
Published/Copyright: August 23, 2018

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-stability.

MSC 2010: 76P05; 35Q20

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Received: 2018-01-12
Revised: 2018-07-23
Accepted: 2018-07-26
Published Online: 2018-08-23
Published in Print: 2019-07-01

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