混合气体线性化Boltzmann算子的特征值与特征函数

敖继军, 阿其拉图, 牡丹

应用数学学报 ›› 2011, Vol. 34 ›› Issue (4) : 591-601.

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应用数学学报 ›› 2011, Vol. 34 ›› Issue (4) : 591-601. DOI: 10.12387/C2011068
论文

混合气体线性化Boltzmann算子的特征值与特征函数

    敖继军1, 阿其拉图2, 牡丹2
作者信息 +

The Spectrum of the Linearized Boltzmann Operator for Gas Mixture

    AO Jijun1, Achilaltu2, MU Dan2
Author information +
文章历史 +

摘要

考虑了混合气体线性化Boltzmann算子的特征值与特征函数问题.通过对算子中核函数的分析得出了更一般的混合气体线性化Boltzmann算子的特征值与特征函数.而且结论还适用于单一气体情况.  

Abstract

The eigenvalues and eigenfunctions of the linearized Boltzmann operator for gas mixture is derived. By analyzing the kernel of the operator the eigenvalues and eigenfunctions of the linearized Boltzmann operator for gas mixture with more general validity are obtained. It is interesting that the results are still right for the case of simple gas.  

关键词

混合气体 / 线性化Boltzmann算子 / 特征值 / 特征函数 / 核函数

Key words

gas mixture / linearized Boltzmann operator / eigenvalue / eigenfunction / kernel function

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敖继军, 阿其拉图, 牡丹. 混合气体线性化Boltzmann算子的特征值与特征函数. 应用数学学报, 2011, 34(4): 591-601 https://doi.org/10.12387/C2011068
AO Jijun, Achilaltu, MU Dan. The Spectrum of the Linearized Boltzmann Operator for Gas Mixture. Acta Mathematicae Applicatae Sinica, 2011, 34(4): 591-601 https://doi.org/10.12387/C2011068

参考文献

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基金

国家自然科学基金(10861008)和内蒙古工业大学校基金(ZS201032)资助项目.

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