Compressible Euler equations with Coriolis force are the fundamental model in the study of atmospheric dynamics. In this article, we study the lifespan of the projected 2-dimensional $C^2$ non-vacuum solutions of the compressible Euler equations with Coriolis force. We first locate the vortex equations for the compressible Euler equations with Coriolis force and then use the integration method to prove that the corresponding blowup results exist for the rotational $C^2$ solutions with a sufficiently large initial functional, $H\left(0\right)={\int }_{{\mathbb{R}}^3}\overrightarrow{x}\cdot {\overrightarrow{u}}_{0}dV.$Based on these new results for the system, the presence of Coriolis forces makes the inflation conditions more difficult to be satisfied.

具有科里奥利力的可压缩欧拉方程是研究大气动力学的基本模型。在本文中，我们研究了二维投影的寿命$C^2$科里奥利力的可压缩欧拉方程的非真空解。我们首先用科里奥利力定位可压缩欧拉方程的涡旋方程，然后使用积分方法证明旋转存在相应的爆燃结果。$C^2$ 具有足够大的初始功能的解决方案， $H（0）={\int }_{{\mathbb{[R}}^3}\overrightarrow{X}\cdot {\overrightarrow{ü}}_{0}dV。$根据系统的这些新结果，科里奥利力的存在使充气条件更加难以满足。