Euler方程Cauchy问题解的存在性及其应用

The Existence and Its Application of Solution of Cauchy Problem for Euler Equation

讨论二维不可压缩Euler方程Cauchy问题解的存在性.利用逼近的方法减弱了前人结论中的条件,得到的主要结果是:存在唯一的整体光滑解.还给出了一个空气动力学中应用的例子.

In this paper the existence of solution of Cauchy problem for Euler equation is discussed.With the approximate method,the paper weakens the predecessors’ condition.The main result is that there exists only one global smooth solution.A applying instance in air dynamics is given in the paper.