Group analysis of kinetic equations in a non-linear thermal transport problem

N.H. Ibragimov; V.F. Kovalev; S.V. Meleshko; V.Yu. Bychenkov

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Group analysis of kinetic equations in a non-linear thermal transport problem

机译：非线性热输运问题动力学方程组分析

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摘要

An application of modern group analysis to electron kinetic equations in non-linear thermal transport problem is discussed. The admitted symmetry group is calculated, and the optimal system of one and two-dimensional subalgebras is constructed. Representations of invariant solutions are presented.

机译：讨论了现代群分析在非线性热输运问题中的电子动力学方程中的应用。计算允许的对称群，并构造一维和二维子代数的最优系统。给出了不变解的表示。

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来源
《International journal of non-linear mechanics》 |2015年第5期|1-7|共7页
作者
N.H. Ibragimov; V.F. Kovalev; S.V. Meleshko; V.Yu. Bychenkov;
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作者单位

Laboratory GAMMNES, Ufa State Aviation Technical University, Ufa, Russia,Research Center ALGA, Blekinge Institute of Technology, Karlskrona, Sweden;

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, Russia,Center for Fundamental and Applied Research, VNIIA, ROSATOM, Moscow, Russia;

School of Mathematics, Institute of Science, Suranaree University of Technology, Nakhon Ratchasima 30000, Thailand;

Center for Fundamental and Applied Research, VNIIA, ROSATOM, Moscow, Russia,P.N. Lebedev Physical Institute, Russian Academy of Sciences, Moscow, Russia;

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原文格式 PDF
正文语种 eng
中图分类
关键词
Symmetry; Invariant solution; Kinetic equations; Thermal transport problem;

机译：对称;不变解;动力学方程;热传输问题;

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Group analysis of kinetic equations in a non-linear thermal transport problem

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