Coti Zelati, Michele and Temam, Roger:
The Atmospheric Equation of Water Vapor with Saturation
Bollettino dell'Unione Matematica Italiana Serie 9 5 (2012), fasc. n.2, p. 309-336, (English)
pdf (382 Kb), djvu (232 Kb). | MR 2977251 | Zbl 1256.35174
Sunto
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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