Global stability of the compressible viscous surface waves in an infinite layer
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866909659193933824 |
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| author | Gui, Guilong Zhang, Zhifei |
| author_facet | Gui, Guilong Zhang, Zhifei |
| contents | We investigate in this paper the global stability of the compressible viscous surface waves in the absence of surface tension effect with a steady-state violating Rayleigh-Taylor instability and the reference domain being the horizontal infinite layer. The fluid dynamics are governed by the 3-D gravity-driven isentropic compressible Navier-Stokes equations. We develop a mathematical approach to establish global well-posedness of free boundary problems of the multi-dimensional compressible Navier-Stokes system based on the Lagrangian framework, which requires no nonlinear compatibility conditions on the initial data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_06654 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Global stability of the compressible viscous surface waves in an infinite layer Gui, Guilong Zhang, Zhifei Analysis of PDEs 35Q30, 76E19, 76N10 We investigate in this paper the global stability of the compressible viscous surface waves in the absence of surface tension effect with a steady-state violating Rayleigh-Taylor instability and the reference domain being the horizontal infinite layer. The fluid dynamics are governed by the 3-D gravity-driven isentropic compressible Navier-Stokes equations. We develop a mathematical approach to establish global well-posedness of free boundary problems of the multi-dimensional compressible Navier-Stokes system based on the Lagrangian framework, which requires no nonlinear compatibility conditions on the initial data. |
| title | Global stability of the compressible viscous surface waves in an infinite layer |
| topic | Analysis of PDEs 35Q30, 76E19, 76N10 |
| url | https://arxiv.org/abs/2208.06654 |