The Lagrangian approach to the compressible primitive equations
Fuente:
arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866910816585908224 |
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| author | Hieber, Matthias Iida, Yoshiki Roy, Arnab Zöchling, Tarek |
| author_facet | Hieber, Matthias Iida, Yoshiki Roy, Arnab Zöchling, Tarek |
| contents | This article develops the hydrostatic Lagrangian approach to the compressible primitive equations. A fundamental aspect in the analysis is the investigation of the compressible hydrostatic Lamé and Stokes operators. Local strong well-posedness for large data and global strong well-posedness for small data are established under various assumptions on the pressure law, both in the presence and absence of gravity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_03630 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Lagrangian approach to the compressible primitive equations Hieber, Matthias Iida, Yoshiki Roy, Arnab Zöchling, Tarek Analysis of PDEs This article develops the hydrostatic Lagrangian approach to the compressible primitive equations. A fundamental aspect in the analysis is the investigation of the compressible hydrostatic Lamé and Stokes operators. Local strong well-posedness for large data and global strong well-posedness for small data are established under various assumptions on the pressure law, both in the presence and absence of gravity. |
| title | The Lagrangian approach to the compressible primitive equations |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2502.03630 |