正压无粘流体流动中的融合、标号和流线
Interfusion, labeling and stream lines in flow of inviscid barotropic fluid
摘要：
本文指出，正压无粘流体的欧拉方程组并不是正压无粘流体动力学方程组的完整方程组。它只是四个动力学方程的一个封闭子系统。完整的动力学方程系统由七个动力学方程组成，涉及七个因变量：密度、速度和标记（拉格朗日坐标，被视为因变量）。欧拉子系统的柯西问题的解是唯一的。包含七个方程的完整流体动力系统的柯西问题的解仅对无旋流是唯一的。对于旋涡流动，柯西问题的解不是唯一的。非唯一性的原因是一种相互融合，这在流体力学的框架中不能适当地考虑。有一些论点支持融合和动荡之间的联系。
英文摘要：
It is shown that the Euler system of hydrodynamic equations for inviscid barotropic fluid for density and velocity is not a complete system of dynamic equations for the inviscicd barotropic fluid. It is only a closed subsystem of four dynamic equation. The complete system of dynamic equation consists of seven dynamic equations for seven dependent variables: density, velocity and labeling (Lagrangian coordinates, considered as dependent variables). Solution of the Cauchy problem for the Euler subsystem is unique. Solution of the Cauchy problem for the complete hydrodynamic system, containing seven equations, is unique only for irrotational flows. For vortical flows solution of the Cauchy problem is not unique. The reason of the nonuniqueness is an interfusion, which cannot be taken into account properly in the framework of hydrodynamics. There are some arguments in favour of connection between interfusion and turbulence.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
