Stability of steady states of the 3-D Navier-Stokes-Poisson equations with non-flat doping profile in exterior domains
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916470119727104 |
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| author | Du, Yingzhi Liu, Hairong |
| author_facet | Du, Yingzhi Liu, Hairong |
| contents | This paper concerns an initial boundary value problem of compressible Navier-Stokes-Poisson equations with the non-flat doping profile in a 3-D exterior domain.The global existence of strong solutions near a steady state for compressible Navier-Stokes-Poisson equations with the general Navier-slip boundary conditions is established. For our setting, not only a steady state should be constructed in the exterior domain by the sub and super solution method, but also some new techniques should be adopted to obtain a priori estimates, especially some refined elliptic estimates and the estimates on the boundary. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_03594 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stability of steady states of the 3-D Navier-Stokes-Poisson equations with non-flat doping profile in exterior domains Du, Yingzhi Liu, Hairong Analysis of PDEs 35Q35, 35B40 This paper concerns an initial boundary value problem of compressible Navier-Stokes-Poisson equations with the non-flat doping profile in a 3-D exterior domain.The global existence of strong solutions near a steady state for compressible Navier-Stokes-Poisson equations with the general Navier-slip boundary conditions is established. For our setting, not only a steady state should be constructed in the exterior domain by the sub and super solution method, but also some new techniques should be adopted to obtain a priori estimates, especially some refined elliptic estimates and the estimates on the boundary. |
| title | Stability of steady states of the 3-D Navier-Stokes-Poisson equations with non-flat doping profile in exterior domains |
| topic | Analysis of PDEs 35Q35, 35B40 |
| url | https://arxiv.org/abs/2411.03594 |