Determining the collision kernel in the Boltzmann equation near the equilibrium

Li, Li; Ouyang, Zhimeng

doi:10.1090/proc/16522

Determining the collision kernel in the Boltzmann equation near the equilibrium
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by Li Li and Zhimeng Ouyang;

Proc. Amer. Math. Soc. 151 (2023), 4855-4865

DOI: https://doi.org/10.1090/proc/16522

Published electronically: August 18, 2023

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Abstract:

We consider an inverse problem for the nonlinear Boltzmann equation near the equilibrium. Our goal is to determine the collision kernel in the Boltzmann equation from the knowledge of the Albedo operator. Our approach relies on a linearization technique as well as the injectivity of the Gauss-Weierstrass transform.

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