变系数线性模型水动力方程的解

IF 0.5 4区工程技术 Q4 MECHANICS

Journal of Applied Mechanics and Technical Physics Pub Date : 2025-04-08 DOI:10.1134/S0021894424050080

O.V. Kaptsov

引用次数: 0

摘要

考虑了具有两个独立变量的偏导数线性模型方程。找到了一系列双曲方程的最高算子对称性和一般解。为一些方程构建了等价变换。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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SOLUTIONS OF LINEAR MODEL HYDRODYNAMIC EQUATIONS WITH VARIABLE COEFFICIENTS

Linear model equations in partial derivatives with two independent variables are considered. The highest operator symmetries and general solutions for a series of hyperbolic equations are found. Equivalence transformations are constructed for some equations.

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来源期刊

Journal of Applied Mechanics and Technical Physics 物理-力学

CiteScore

1.20

自引率

16.70%

发文量

审稿时长

4-8 weeks

期刊介绍： Journal of Applied Mechanics and Technical Physics is a journal published in collaboration with the Siberian Branch of the Russian Academy of Sciences. The Journal presents papers on fluid mechanics and applied physics. Each issue contains valuable contributions on hypersonic flows; boundary layer theory; turbulence and hydrodynamic stability; free boundary flows; plasma physics; shock waves; explosives and detonation processes; combustion theory; multiphase flows; heat and mass transfer; composite materials and thermal properties of new materials, plasticity, creep, and failure.