Rarefied gas dynamics with external fields under specular reflection boundary condition

Abstract

We consider the Boltzmann equation with external fields in strictly convex domains with the specular reflection boundary condition. We construct classical $C^1$ solutions away from the grazing set under the assumption that the external field is $C^2$ and the normal derivative of the field is positive and bounded away from $0$.

arXiv admin note: text overlap with arXiv:1212.1694 by other authors