Local well-posedness of strong solution to a climate dynamic model with phase transformation of water vapor
Local well-posedness of strong solution to a climate dynamic model with phase transformation of water vapor
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DOI：
10.1063/5.0062498
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发表时间：
2022-05
影响因子：
1.3
通讯作者：
Jieqiong Ma;Ruxu Lian;Qingcun Zeng
中科院分区：
文献类型：
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作者：
Jieqiong Ma;Ruxu Lian;Qingcun Zeng
研究了水蒸气相变大气动力学的原始三维粘性方程。根据实际的物理过程，我们给出了加热速率、水的质量和降水速率，它们与温度和压力有关。事实上，该系统严格遵循能量守恒定律，用于做出更好的气候预测。提供H2初始数据和具有物理意义的边界条件，利用H2框架下的收缩映射原理和能量法证明了潮湿大气方程唯一强解的局部适定性。
The primitive three-dimensional viscous equations for atmospheric dynamics with the phase transformation of water vapor are studied. According to the actual physical process, we give the heating rate, mass of water, and precipitation rate, which are related to temperature and pressure. In fact, this system strictly obeys the conservation of energy and is used to make better climate predictions. Providing H2 initial data and boundary conditions with physical significance, we prove the local well-posedness of a unique strong solution to the moist atmospheric equations by the contractive mapping principle and the energy method in the H2 framework.