纬向对称准地转流的非线性稳定性定理(英文)

Nonlinear Stability Theorem of Zonally Symmetric Quasi-geostrophic Flow

建立了周期域上准地转流在一般的边界条件下对应于 Arnold第二定理的非线性稳定性定理 .将扰动能量与扰动拟能的上界用初始扰动场的显式表示出来 ,从而建立了 L

nonlinear stability theorem analogous To arnold′s second stability theorem is established for a quasi-geostrophic flow with general boundary conditions in a periodic channel. The results establish Explicit upper bounds on the disturbance energy, the disturbance potential enstr Ophy, in terms of the initial disturbance fields. Nonlinear stability in the se Nse of liapunov is also established.=