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

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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… Click to show full abstract

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 -stability.

Keywords: space; space time; time; boltzmann equation; walker space; robertson walker

Journal Title: Applicable Analysis
Year Published: 2020

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