两个大气动力学模式整体强解的存在唯一性

文中用能量估计的方法,证明了大气动力学中的基本模式——正压无辐散模式与斜压准地转-准无辐散模式整体强解的存在唯一性,从而推广了作者在文3]～5]中所得到的结果并证实了曾庆存在1]中的一个猜测.

Existence and Uniqueness of Global Strong Solutions of Two Models in Atmospheric Dynamics

In this paper, the author proves by the methods of energy estimates the existence and uniqueness of global strong solutions of barotropic nondivergent model and baroclinic quasi-geostrophic quasi-nondivergent model.The two models are fundamental ones in atmospheric dynamics. The results here generalize the outcome given by the author in 3]-5] and verify a conjecture posed by Zeng Qing-cun in 1].