8 citations · 17 across the 12 of their papers we have counts for
12 papers
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…
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…
On the Existence and Regularity for Stationary Boltzmann Equation in a Small Domain
I-Kun Chen, Chun-Hsiung Hsia, Daisuke Kawagoe +1
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 n…
Geometric effects on regularity of the stationary linearized Boltzmann equation
I-Kun Chen, Chun-Hsiung Hsia, Daisuke Kawagoe +1
We study the incoming boundary value problem for the stationary linearized Boltzmann equation in bounded convex domains. The geometry of the domain has a dramatic effect on the spa…
On the Existence of solutions for Stationary Linearized Boltzmann Equations in a Small Convex Domain
I-Kun Chen, Ping-Han Chuang, Chun-Hsiung Hsia +2
In this article, we investigate the incoming boundary value problem for the stationary linearized Boltzmann equations in . For a bounded domain wi…
A Revisit of the Velocity Averaging Lemma: on the Regularity of Stationary Boltzmann Equation in a Bounded Convex Domain
I-Kun Chen, Ping-Han Chuang, Chun-Hsiung Hsia +1
In the present work, we adopt the idea of velocity averaging lemma to establish regularity for stationary linearized Boltzmann equations in a bounded convex domain. Considering the…