简化大气模式方程解的一个子类

IF 0.3 Q4 MECHANICS

Moscow University Mechanics Bulletin Pub Date : 2021-07-06 DOI:10.3103/S0027133021010052

M. K. Turzynsky

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引用次数: 0

摘要

考虑了与大气模式相对应的理想多向气体三维方程组的一类特殊解。这些解的性质完全可以用一个高阶非线性常微分方程组来表征。与相应的二维模型不同，该系统的所有奇异点都是不稳定的。得到了该系统的一些初积分。在轴对称的情况下，系统可以简化为一个方程。如果绝热指数等于2，系统是可积的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

A Subclass of Solutions for Equations of a Reduced Atmospheric Model

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A Subclass of Solutions for Equations of a Reduced Atmospheric Model

A special subclass of solutions of the three-dimensional system of ideal polytropic gas equations corresponding to an atmospheric model is considered. The properties of these solutions are completely characterized by a high-order nonlinear system of ordinary differential equations. Unlike the corresponding two-dimensional model, all singular points of this system have been found to be unstable. Some first integrals of this system have been found. In the case of axial symmetry, the system can be reduced to a single equation. If the adiabatic exponent is equal to 2, the system is integrable.

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来源期刊

Moscow University Mechanics Bulletin MECHANICS-

CiteScore

0.60

自引率

0.00%

发文量

期刊介绍： Moscow University Mechanics Bulletin is the journal of scientific publications, reflecting the most important areas of mechanics at Lomonosov Moscow State University. The journal is dedicated to research in theoretical mechanics, applied mechanics and motion control, hydrodynamics, aeromechanics, gas and wave dynamics, theory of elasticity, theory of elasticity and mechanics of composites.