Chun-Hsiung Hsia

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20142024

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math.AP2024

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…

math.AP2023

On the Existence of $H^{1}$ 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 $Ω \subseteq R^{3}$ . For a $C^{2}$ bounded domain wi…

math.AP2014

Singularity of macroscopic variables near boundary for gases with cut-off inverse-power potential

I-Kun Chen, Chun-Hsiung Hsia

In this article, the boundary singularity for stationary solutions of the linearized Boltzmann equation with cut-off inverse power potential is analyzed. In particular, for cut-off…

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

On the Existence of H1 solutions for Stationary Linearized Boltzmann Equations in a Small Convex Domain

Singularity of macroscopic variables near boundary for gases with cut-off inverse-power potential

On the Existence of $H^{1}$ solutions for Stationary Linearized Boltzmann Equations in a Small Convex Domain