Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2408.15749 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910580903772160 |
|---|---|
| author | Doppler, Sabine Klein, Rupert Liu, Xin Titi, Edriss |
| author_facet | Doppler, Sabine Klein, Rupert Liu, Xin Titi, Edriss |
| contents | We establish here the local-in-time well-posedness of strong solutions with large initial data to a system coupling compressible atmospheric dynamics with a refined moisture model introduced in Hittmeir and Klein (Theor. Comput. Fluid Dyn. 32:137--164, 2018). This micro-physics moisture model is a refinement of the one communicated by Klein and Majda (Theor. Comput. Fluid Dyn. 20:525--551, 2006), which serves as a foundation of multi-scale asymptotic expansions for moist deep convection in the atmosphere. Specifically, we show, in this paper, that the system of compressible Navier--Stokes equations coupled with the moisture dynamics is well-posed. In particular, the micro-physics of moisture model incorporates the phase changes of water in moist air. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_15749 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Local well-posedness of a system coupling compressible atmospheric dynamics and a micro-physics model of moisture in air Doppler, Sabine Klein, Rupert Liu, Xin Titi, Edriss Analysis of PDEs We establish here the local-in-time well-posedness of strong solutions with large initial data to a system coupling compressible atmospheric dynamics with a refined moisture model introduced in Hittmeir and Klein (Theor. Comput. Fluid Dyn. 32:137--164, 2018). This micro-physics moisture model is a refinement of the one communicated by Klein and Majda (Theor. Comput. Fluid Dyn. 20:525--551, 2006), which serves as a foundation of multi-scale asymptotic expansions for moist deep convection in the atmosphere. Specifically, we show, in this paper, that the system of compressible Navier--Stokes equations coupled with the moisture dynamics is well-posed. In particular, the micro-physics of moisture model incorporates the phase changes of water in moist air. |
| title | Local well-posedness of a system coupling compressible atmospheric dynamics and a micro-physics model of moisture in air |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2408.15749 |