Local well-posedness of strong solutions to the compressible Navier-Stokes equations with degenerate viscosities and far field vacuum in 3D exterior domains
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866914305583087616 |
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| author | Li, Jiaxu Lü, Boqiang Yuan, Bing |
| author_facet | Li, Jiaxu Lü, Boqiang Yuan, Bing |
| contents | The isentropic compressible Navier-Stokes system subject to the Navier-slip boundary conditions is considered in a general three-dimensional exterior domain. For the density approaches far-field vacuum initially and the viscosities are power functions of the density(ρ^δ with 0 < δ< 1), the local well-posedness of strong solutions is established in this paper. In particular, the method we adopt can not only simultaneously handle the difficulties caused by boundary terms and far-field vacuum, but also make the selection of δ independent of the gas coefficient γ. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_04597 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Local well-posedness of strong solutions to the compressible Navier-Stokes equations with degenerate viscosities and far field vacuum in 3D exterior domains Li, Jiaxu Lü, Boqiang Yuan, Bing Analysis of PDEs The isentropic compressible Navier-Stokes system subject to the Navier-slip boundary conditions is considered in a general three-dimensional exterior domain. For the density approaches far-field vacuum initially and the viscosities are power functions of the density(ρ^δ with 0 < δ< 1), the local well-posedness of strong solutions is established in this paper. In particular, the method we adopt can not only simultaneously handle the difficulties caused by boundary terms and far-field vacuum, but also make the selection of δ independent of the gas coefficient γ. |
| title | Local well-posedness of strong solutions to the compressible Navier-Stokes equations with degenerate viscosities and far field vacuum in 3D exterior domains |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2602.04597 |