Projective submodel of the Ovsyannikov vortex

被引：7
|
作者：
Pavlenko A.S. [1 ]
机构：
[1] Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences
来源：
Journal of Applied Mechanics and Technical Physics | 2005年 / 46卷 / 4期
基金：
俄罗斯基础研究基金会;
关键词：
Ovsyannikov vortex; Partially invariant solutions of the equations of gas dynamics; Shock waves;
D O I：
10.1007/s10808-005-0097-2
中图分类号：
学科分类号：
摘要：
A submodel of the Ovsyannikov vortex with projective symmetry is studied. Integration of the factor system of the submodel reduces to solving a first-order differential equation which is not solved with respect to the derivative. The properties of the solutions of this equation are studied. It is shown that the submodel describes gas ow with a nonstationary source and a nonstationary sink. The problem of the motion of a gas volume between pistons of cylindrical shapes is studied, and its solution with an invariant shock wave is obtained. © 2005 Springer Science + Business Media, Inc.
引用
收藏
页码：459 / 470
页数：11
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