2 papers
math.AP2026
On thermal transpiration and thermomolecular pressure difference
Kai-Li Wang, I-Kun Chen
In this article, we demonstrate the phenomenon of thermal transpiration in a bounded convex domain. We employ the stationary Boltzmann equation with a cutoff potential. For boundar…
math.AP2025
On the existence and regularity of weakly nonlinear stationary Boltzmann equations : a Fredholm alternative approach
I-Kun Chen, Chun-Hsiung Hsia, Daisuke Kawagoe
The celebrated Fredholm alternative theorem works for the setting of identity compact operators. This idea has been widely used to solve linear partial differential equations \cite…