The equations of the atmosphere with humidity and saturation: Uniqueness and physical bounds

In continuation of an earlier work (Coti Zelati and Temam, 2012)  [8] devoted to the mathematical formulation and existence of solutions for the system of moist atmosphere with saturation, we address, here, the question of the uniqueness of solutions, which is essential for giving a physical justification for the analysis of the model in Coti Zelati and Temam (2012)  [8]. We also derive some physical bounds on the solution as well as additional results of regularity of the solutions.