论文标题
经典和相对论流体作为有限尺寸机械系统的中间积分
Classical and relativistic fluids as intermediate integrals of finite dimensional mechanical systems
论文作者
论文摘要
我们探讨了描述粒子运动与描述连续介质的机械系统的机械系统之间的关系。更具体地说，我们将研究有限尺寸机械系统（二阶微分方程）的所谓中间体积分或解决方案的溶液中，同时是流体的Euler方程。这将在经典和相对论的环境中完成。直接关系将通过所谓的时间约束（经典的不稳定情况，静态与否）和相对论校正（用于任意伪 - 利马尼亚人的指标）建立。
We explore the relationship between mechanical systems describing the motion of a particle with the mechanical systems describing a continuous medium. More specifically, we will study how the so-called intermediate integrals or fields of solutions of a finite dimensional mechanical system (a second order differential equation) are simultaneously Euler's equations of fluids and conversely. This will be done both in the classical and relativistic context. A direct relationship will be established by means of the so-called time constraint (classical unsteady case, static or not) and the relativistic correction (for arbitrary pseudo-Riemannian metrics).
