A Revisit of the Velocity Averaging Lemma: On the Regularity of Stationary Boltzmann Equation in a Bounded Convex Domain
| Autor: | I.-Kun Chen, Ping-Han Chuang, Chun-Hsiung Hsia, Jhe-Kuan Su |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Journal of Statistical Physics. 189 |
| ISSN: | 1572-9613 0022-4715 |
| DOI: | 10.1007/s10955-022-02977-5 |
| Popis: | 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 $1^-$. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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