ANALYTICAL SOLUTION OF NONLINEAR BAROTROPIC VORTICITY EQUATION  

作　　者：WANG Yue-peng SHI Wei-hl 

机构地区：[1]College of Mathematics and Physics, Nanjing University of Information Science and Technology, Nangjing210044, China [2]Jiangsu Key Laboratory of Meteorological Disaster, Nangjing University of Information Science and Technology, Nangjing 210044, China [3]Department of Mathematics, Shanghai University, Shanghai 200072, China

出　　处：《Journal of Hydrodynamics》2008年第4期530-535,共6页水动力学研究与进展B辑（英文版）

基　　金：the Jiangsu Planned Projects for Postdoctral Research Funds (Grant No. 0602024C);the JiangsuKey Laboratory of Meteorological Disaster (Grant No.KLME060201)

摘　　要：The C^k （k ≥ 3） stability of nonlinear barotropic vorticity equation was proved. The necessary and sufficient conditions for the initial value problem to be well-posed were presented. Under the conditions of well-posedness, the corresponding analytical solution was also gained.The C^k （k ≥ 3） stability of nonlinear barotropic vorticity equation was proved. The necessary and sufficient conditions for the initial value problem to be well-posed were presented. Under the conditions of well-posedness, the corresponding analytical solution was also gained.

关 键 词：nonlinear barotropic vorticity equation stability WELL-POSEDNESS analytical solution 

分 类 号：TV13[水利工程—水力学及河流动力学]