On the Existence and Regularity for Stationary Boltzmann Equation in a Small Domain

2024/03/15 by Chen, I-Kun, Hsia, Chun-Hsiung, Kawagoe, Daisuke +1
#35B65 #35Q20 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2403.10016

Abstract

In this article, we study the stationary Boltzmann equation with the incoming boundary condition for the hard potential cases. Assuming the smallness of the domain and a suitable normal curvature condition on the boundary, we find a suitable solution space which is a proper subset of the W^1,p space for 1 ≤ p <3.

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