Geodesic
The Atmospheric Equation of Water Vapor with Saturation
Bollettino della Unione matematica italiana, Série 9, Tome 5 (2012) no. 2, pp. 309-336.

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

We analyze the equation of water vapor content in the atmosphere taking into account the saturation phenomenon. This equation is considered alone or coupled with the equation describing the evolution of the temperature $T$. The concentration of water vapor $q$ belongs to the interval $[0, 1]$ and the saturation concentration $q_{s} \in (0, 1)$ is the threshold after which the vapor condensates and becomes water (rain). The equation for $q$ (as well as the coupled $q-T$ system) thus accounts for possible change of phase. 
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Coti Zelati, Michele; Temam, Roger. The Atmospheric Equation of Water Vapor with Saturation. Bollettino della Unione matematica italiana, Série 9, Tome 5 (2012) no. 2, pp. 309-336. http://geodesic.mathdoc.fr/item/BUMI_2012_9_5_2_a7/

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