考虑随机外强迫的湿大气方程组弱解的适定性分析  

The well-posedness analysis of weak solution to moist atmospheric equations with stochastic external forces

作　　者：张博冉 连汝续 ZHANG Boran;LIAN Ruxu(School of Mathematics and Statistics,North China University of Water Resources and Electric Power,Zhengzhou 450046,China)

机构地区：[1]华北水利水电大学数学与统计学院,河南郑州450046

出　　处：《厦门大学学报（自然科学版）》2022年第2期174-181,共8页Journal of Xiamen University：Natural Science

基　　金：国家自然科学基金(41975129)。

摘　　要：在地形坐标下,研究了考虑随机外强迫作用的湿大气方程组初边值弱解问题的适定性问题.利用能量估计方法,并克服了随机外强迫所带来的研究困难,从而证明了方程组整体弱解的存在性.又在假设整体弱解序列满足一定条件时,证明了整体弱解的L1稳定性以及几乎处处稳定性等.Well-posedness of weak solutions to initial boundary value problems for moist atmosphere equations with stochastic external forces are studied in topographic coordinates.Overcoming the difficulty caused by the random external forcing,we obtain the existence of global weak solutions to the system by using the energy-estimation method.Moreover,the L1-stability and almost everywhere stability of the global weak solution are proved when the initial data satisfies certain conditions.

关 键 词：随机外强迫 湿大气方程组 整体弱解 存在性 稳定性 

分 类 号：O175[理学—数学]