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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2104.11964 |
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| _version_ | 1866908499465732096 |
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| author | Jiang, Ning Luo, Yi-Long Tang, Shaojun |
| author_facet | Jiang, Ning Luo, Yi-Long Tang, Shaojun |
| contents | In this paper, we prove the compressible Euler limit from the Boltzmann equation with hard sphere collisional kernel and complete diffusive boundary condition in half-space by employing the Hilbert expansion which includes interior and Knudsen layers. This rigorously justifies the corresponding formal analysis in Sone's book \cite{Sone-2007-Book} in the context of short time smooth solutions, and also generalizes the classic Caflisch's result \cite{Caflish-1980-CPAM} to initial-boundary problem case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2104_11964 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Compressible Euler limit from Boltzmann equation with complete diffusive boundary condition in half-space Jiang, Ning Luo, Yi-Long Tang, Shaojun Analysis of PDEs In this paper, we prove the compressible Euler limit from the Boltzmann equation with hard sphere collisional kernel and complete diffusive boundary condition in half-space by employing the Hilbert expansion which includes interior and Knudsen layers. This rigorously justifies the corresponding formal analysis in Sone's book \cite{Sone-2007-Book} in the context of short time smooth solutions, and also generalizes the classic Caflisch's result \cite{Caflish-1980-CPAM} to initial-boundary problem case. |
| title | Compressible Euler limit from Boltzmann equation with complete diffusive boundary condition in half-space |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2104.11964 |