Determining the collision kernel in the Boltzmann equation near the equilibrium
Analysis of PDEs
2022-05-16 v1
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.
Keywords
Cite
@article{arxiv.2205.06387,
title = {Determining the collision kernel in the Boltzmann equation near the equilibrium},
author = {Li Li and Zhimeng Ouyang},
journal= {arXiv preprint arXiv:2205.06387},
year = {2022}
}