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Applicable Analysis
An International Journal
Volume 99, 2020 - Issue 7
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Articles

Asymptotic-stability of the inhomogeneous Boltzmann equation in the Robertson–Walker space–time with Israel particles

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Pages 1122-1135 | Received 09 Apr 2018, Accepted 09 Sep 2018, Published online: 19 Sep 2018
 

ABSTRACT

In this paper, we consider the Cauchy problem for the spatially inhomogeneous relativistic Boltzmann equation where the collision kernel is generated by Israel particle. Unique global (in time) classical solution is obtained in a suitable weighted space by considering small initial data and the Robertson–Walker space–time as background. We also studied the asymptotic behaviour of the solutions as well as the L-stability.

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Disclosure statement

No potential conflict of interest was reported by the authors.

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