Validity of Prandtl Expansion for Steady Compressible Navier-Stokes-Fourier Flows
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915668956282880 |
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| author | Guo, Yan Wang, Yong |
| author_facet | Guo, Yan Wang, Yong |
| contents | Assume no-slip boundary conditions for the velocity field and either insulated or Dirichlet boundary conditions for the temperature field in a steady compressible fluid. In the inviscid limit $\v \rightarrow 0$, we develop a mathematical framework for the uniform-in-$\v$ remainder estimate for the linear steady compressible Navier-Stokes-Fourier equations around a Prandtl layer profile with both velocity and thermal layers, which leads to the validity of the Prandtl layer expansion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_13360 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Validity of Prandtl Expansion for Steady Compressible Navier-Stokes-Fourier Flows Guo, Yan Wang, Yong Analysis of PDEs Assume no-slip boundary conditions for the velocity field and either insulated or Dirichlet boundary conditions for the temperature field in a steady compressible fluid. In the inviscid limit $\v \rightarrow 0$, we develop a mathematical framework for the uniform-in-$\v$ remainder estimate for the linear steady compressible Navier-Stokes-Fourier equations around a Prandtl layer profile with both velocity and thermal layers, which leads to the validity of the Prandtl layer expansion. |
| title | Validity of Prandtl Expansion for Steady Compressible Navier-Stokes-Fourier Flows |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2501.13360 |