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arXiv · 2408.15749

Local well-posedness of a system coupling compressible atmospheric dynamics and a micro-physics model of moisture in air

Sabine Doppler·Rupert Klein·Xin Liu·Edriss Titi
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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.

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Sabine Doppler, Rupert Klein, Xin Liu, Edriss Titi. 2024-08-28. Local well-posedness of a system coupling compressible atmospheric dynamics and a micro-physics model of moisture in air. https://arxiv.org/abs/2408.15749

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