On the Existence and Regularity for Stationary Boltzmann Equation in a Small Domain
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913271411376128 |
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| author | Chen, I-Kun Hsia, Chun-Hsiung Kawagoe, Daisuke Su, Jhe-Kuan |
| author_facet | Chen, I-Kun Hsia, Chun-Hsiung Kawagoe, Daisuke Su, Jhe-Kuan |
| contents | 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 normal curvature condition on the boundary, we find a suitable solution space which is a proper subset of the $W^{1,p}$ space for $1 \leq p <3$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_10016 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Existence and Regularity for Stationary Boltzmann Equation in a Small Domain Chen, I-Kun Hsia, Chun-Hsiung Kawagoe, Daisuke Su, Jhe-Kuan Analysis of PDEs 35Q20, 35B65 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 normal curvature condition on the boundary, we find a suitable solution space which is a proper subset of the $W^{1,p}$ space for $1 \leq p <3$. |
| title | On the Existence and Regularity for Stationary Boltzmann Equation in a Small Domain |
| topic | Analysis of PDEs 35Q20, 35B65 |
| url | https://arxiv.org/abs/2403.10016 |