二维准地转流的非线性稳定性及扰动发展

Nonlinear Stability of Two-dimentional Quasigestrophic Flow and Disturbance Development

研究有界周期带域中的纬向对称二维一层准地转流,得到了现有最好的非线性稳定性定理,对于Benzi模型,其结果与线性稳定性定理一致,并且建立了关于扰动能量。

We concerns with two-dimentional zonally symmetric one layer quasi-gestrophic flow in a bounded periodic zonal channel. A best nonlinear stability criterion is established for the flow. For Benzi's model, the nonlinear stability criterion is shown identical to the linear one. Moreover, explicit rigorous upper bounds are obtained on both the disturbance energy and disturbance potential enstrophy. Key words: two-dimentional