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arXiv · 2011.00180

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·Jhe-Kuan Su
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Abstract

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 incoming data, with three iterations, we establish regularity in fractional Sobolev space in space variable up to order $1^-$.

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I-Kun Chen, Ping-Han Chuang, Chun-Hsiung Hsia, Jhe-Kuan Su. 2020-10-31. A Revisit of the Velocity Averaging Lemma: on the Regularity of Stationary Boltzmann Equation in a Bounded Convex Domain. https://arxiv.org/abs/2011.00180

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