On the Existence and Regularity for the Stationary Boltzmann Equation in a Small Domain
Journal
SIAM Journal on Mathematical Analysis
Journal Volume
57
Journal Issue
4
Start Page
4191
End Page
4219
ISSN
0036-1410
1095-7154
Date Issued
2025-07-30
Author(s)
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 curvature condition on the boundary, we find a suitable solution space which is a proper subset of the W1,pspace for 1 ≤ p <3.
Publisher
Society for Industrial & Applied Mathematics (SIAM)
Type
journal article