Symmetry of the Barochronous Motions of a Gas

被引：0

作者：

L. V. Ovsyannikov

机构：

[1] Lavrent'ev Institute of Hydrodynamics,

来源：

Siberian Mathematical Journal | 2003年 / 44卷

关键词：

admissible local Lie group of transformations; algebra of Lie operators; equivalence; general solution;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study the system of nonlinear differential equations which expresses the constancy of the algebraic invariants of the Jacobian matrix for smooth vector fields in three-dimensional space. This system is equivalent to the equations of gas dynamics which describe the barochronous motions of a gas (the pressure and density depend only on the time). We present the results of computation of the admissible local Lie group and construction of the general solution of the system. We mention a few new problems that arise here.

引用

页码：857 / 866

页数：9