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Quantitative lower bound for solutions to the Boltzmann equation in non-convex domains
Jhe-Kuan Su
In this article, we study the continuous mild solutions to the Boltzmann equation in a bounded spatial domain, under either angular cutoff assumption or non-cutoff assumption. With…
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…
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…