中文摘要：

基于一个 barotropic 旋涡模型，概括保存精力的方程被导出，基本流动 destabilization 的二个必要条件被获得。这些条件对应于概括 barotropic 不稳定性和超级速度不稳定性。他们是旋涡和严肃的不稳定性惯性的波浪分别地。以便联系到实际状况， abarotropic 旋涡被分析，哪个类似于热带气旋和最大值的低级的基本的风地的基本流动弯屈哪个是 500 km 的半径。概括了 barotropic 不稳定性取决于相对涡度的光线的坡度的结果表演能出现在这个旋涡。不稳定的旋涡 Rossby 波浪可以出现在 barotropicvortex，这能被结束。

英文摘要：

Based on a barotropic vortex model, generalized energy-conserving equation was derived and two necessary conditions of basic flow destabilization are gained. These conditions correspond to generalized barotropic instability and super speed instability. They are instabilities of vortex and gravity inertial wave respectively. In order to relate to practical situation, a barotropic vortex was analyzed, the basic flow of which is similar to lower level basic wind field of tropical cyclones and the maximum wind radius of which is 500 km. The results show that generalized barotropic instability depending upon the radial gradient of relative vorticity can appear in this vortex. It can be concluded that unstable vortex Rossby wave may appear in barotropic vortex.