The primitive equations of the atmosphere in presence of vapour saturation
The primitive equations of the atmosphere in presence of vapour saturation
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DOI：
10.1088/0951-7715/28/3/625
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发表时间：
2014-06
期刊：
影响因子：
1.7
通讯作者：
Michele Coti Zelati;Aimin Huang;I. Kukavica;R. Temam;M. Ziane
中科院分区：
文献类型：
--
作者：
Michele Coti Zelati;Aimin Huang;I. Kukavica;R. Temam;M. Ziane
修正的经典原始方程的大气被认为是为了考虑到重要的相变现象，由于空气饱和和冷凝。我们提供了一个数学公式的问题，似乎是新的，在这种情况下，利用微分包含和变分不等式，并允许开发一个相当完整的理论的解决方案，原来是一个非线性耦合系统的非光滑偏微分方程。具体来说，我们证明了全球存在的拟强和强的解决方案，沿着唯一性结果和物理利益的最大值原则。
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 the global existence of quasi-strong and strong solutions, along with uniqueness results and maximum principles of physical interest.