Doppler, Sabine and Klein, Rupert and Liu, Xin and Titi, Edriss
(2024)
*Local well-posedness of a system coupling compressible atmospheric dynamics and a micro-physics model of moisture in air.*
Preprint arXiv
.
(Unpublished)

Full text not available from this repository.

Official URL: https://doi.org/10.48550/arXiv.2408.15749

## Abstract

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.

Item Type: | Article |
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Subjects: | Mathematical and Computer Sciences Mathematical and Computer Sciences > Mathematics Mathematical and Computer Sciences > Mathematics > Applied Mathematics |

Divisions: | Department of Mathematics and Computer Science > Institute of Mathematics |

ID Code: | 3170 |

Deposited By: | Lukas-Maximilian Jaeger |

Deposited On: | 04 Sep 2024 10:52 |

Last Modified: | 04 Sep 2024 10:52 |

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