二维双层准地转方程的高阶衰减估计  

Decay Estimates for the Higher-Order Derivatives of the Solutions to the Two-Layer Quasi-Geostrophic Equations for the Two-Dimensional Model

作　　者：李慧玲 张景军[2] Li Huiling;Zhang Jingjun(School of Mathematics and Statistics,Changsha University of Science and Technology,Changsha,Hunan 410114;College of Data Science,Jiaxing University,Jiaxing,Zhejiang 314001)

机构地区：[1]长沙理工大学数学与统计学院,湖南长沙410114 [2]嘉兴学院数据科学学院,浙江嘉兴314001

出　　处：《嘉兴学院学报》2023年第6期31-34,114,共5页Journal of Jiaxing University

基　　金：国家自然科学基金资助项目(11771183)。

摘　　要：考虑带有耗散项和摩擦项的双层准地转模型,主要研究解的高阶导数的长时间行为:利用Fourier分裂法及低阶导数的衰减估计,通过改进已有的上界估计,进而得到高阶导数的衰减估计,所得结论进一步改进了已有文献中的衰减估计.In this paper,we consider the two-layer quasi-geostrophic model in the two-dimensional case equipped with dissipation and friction terms,and we mainly study the large time behavior of the higher-order derivatives of the solutions.Using the Fourier splitting method and the lower-order decay estimates,we improve the upper bound of the known terms and then get the higher-order decay estimates.The obtained conclusion improves the known decay estimates.

关 键 词：准地转方程 长时间行为 Fourier分裂法 

分 类 号：O175.2[理学—数学]