论文标题

一维喷嘴中气体行为的几何研究(范德华气体的情况

Geometric study of gas behavior in a one-dimensional nozzle (the case of the van der Waals gas

论文作者

Krasil'shchik, I. S., Lychagin, V. V.

论文摘要

我们构建了一个三组分系统的PDES系统,该系统描述了一维喷嘴中的范德尔壁气体的动力学。描述了该系统的保护法。我们还规定了点对称性和当前小组分类的谎言代数。讨论了确切的不变解决方案。

We construct a three-component system of PDEs describing dynamics of van der Walls gas in one-dimensional nozzle. The group of conservation laws for this system is described. We also ompute the Lie algebras of point symmetries and present group classification. Exact invariant solutions are discussed.

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