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1·The governing equation is 3D Euler equations, which is solved by the finite volume method.

利用再生核理论和有限差分法给出了一种计算欧拉方程组的新方法 。

2·The correctness of the complete Euler equation set is verified with two functional examples.

通过两个算例验证了完全欧拉方程组的正确性。

3·The complete Euler equation set contains all kinds of Euler equations of the variational problems.

该方程组涵盖了变分问题的各种欧拉方程。

4·The complete Euler equation set contains all kinds of Euler equations of the variational problems.

通过两个算例验证了完全欧拉方程组的正确性。

5·In general, Euler equation is solved by the method of variable transformation, but the procedure is complicated.

欧拉方程一般都是用“变量代换”法求解的，但其过程一般都比较繁琐。

6·So, dual Euler method is better than quaternion method in the solution of the singularity of the Euler equation.

因此，对于解决欧拉方程奇异性来讲，双欧法要优于四元数法。

7·Fluids: pressure, hydrostatics, Euler and Lagrange variables of a continuum, continuity equation, Euler equation of motion.

液体：压力、静水力学、欧拉和拉格朗日中值变量的连续性、连续性方程、欧拉方程的运动。

8·This paper investigates several equiyalent propositions of minimal curve surface by means of the euler equation of calculus of variations .

本文通过变分法欧拉方程推导出极小曲面的几个等价命题。

9·A kind of ordinary difference equation that can be transferred to Euler equation, often appears in polar coordinates solution of elastic problems.

在弹性力学问题的极坐标解答中，经常会遇到一类可转化为欧拉方程的常微分方程。

10·This paper studies comparatively dual Euler method and quaternion method which are used for the solution of the singularity of the Euler equation.

对解决欧拉方程奇异性的双欧法和四元数法进行了对比研究。