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arXiv · 1406.3165

The primitive equations of the atmosphere in presence of vapor saturation

Michele Coti Zelati·Aimin Huang·Igor Kukavica·Roger Temam·Mohammed Ziane
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Abstract

A modification of the classical primitive equations of the atmosphere is considered in order to take into account important phase transition phenomena due to air saturation and condensation. We provide a mathematical formulation of the problem that appears to be new in this setting, by making use of differential inclusions and variational inequalities, and which allows to develop a rather complete theory for the solutions to what turns out to be a nonlinearly coupled system of non-smooth partial differential equations. Specifically we prove global existence of quasi-strong and strong solutions, along with uniqueness results and maximum principles of physical interest.

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Michele Coti Zelati, Aimin Huang, Igor Kukavica, Roger Temam, Mohammed Ziane. 2014-06-12. The primitive equations of the atmosphere in presence of vapor saturation. https://doi.org/10.1088/0951-7715%2F28%2F3%2F625

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