摘要
Some nonlinear stability criteria for motions of multilayer quasi-geostrophic flow on a beta-plane are obtained by combining Arnold’s method with an accurate estimate method. The criteria can be applied to perturbations of initial data and parameters; rather than the former only. Particularly a criterion corresponding to Arnold’s second theorem is gained, which relies on some precise analyses and estimates.
Some nonlinear stability criteria for motions of multilayer quasi-geostrophic flow on a beta-plane are obtained by combining Arnold's method with an accurate estimate method. The criteria can be applied to perturbations of initial data and parameters; rather than the former only. Particularly a criterion corresponding to Arnold's second theorem is gained, which relies on some precise analyses and estimates.
基金
Project supported by the National Natural Science Foundation of China.
