论文标题
热力学精制的被动运输的非线性水分动力学随相变的全球适应性度
Global well-posedness for the thermodynamically refined passively transported nonlinear moisture dynamics with phase changes
论文作者
论文摘要
在这项工作中，我们研究了水分动力学的全球溶解性，并通过相变的相变。因此，与以前的研究相比，我们要考虑到干燥空气和水蒸气的不同气体常数以及干燥空气，水蒸气和液态水的不同热能，这导致了水分平衡和热力学平等的耦合。这种精致的热力学设置已被证明是必不可少的，例如对于[Hittmeir-Klein（2017）]中的深对流云柱。更复杂的结构需要仔细衍生足够的先验估计，以证明全球存在和解决方案的独特性。
In this work we study the global solvability of moisture dynamics with phase changes for warm clouds. We thereby in comparison to previous studies [Hittmeir-Klein-Li-Titi (2017)] take into account the different gas constants for dry air and water vapor as well as the different heat capacities for dry air, water vapor and liquid water, which leads to a much stronger coupling of the moisture balances and the thermodynamic equation. This refined thermodynamic setting has been demonstrated to be essential e.g. in the case of deep convective cloud columns in [Hittmeir-Klein (2017)]. The more complicated structure requires careful derivations of sufficient a priori estimates for proving global existence and uniqueness of solutions.
