Determining the collision kernel in the Boltzmann equation near the equilibrium

Li Li; Zhimeng Ouyang

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arXiv · 2205.06387

Determining the collision kernel in the Boltzmann equation near the equilibrium

Li Li·Zhimeng Ouyang

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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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Li Li, Zhimeng Ouyang. 2022-05-12. Determining the collision kernel in the Boltzmann equation near the equilibrium. https://arxiv.org/abs/2205.06387

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