混合气体线性化Boltzmann算子的特征值与特征函数

The Spectrum of the Linearized Boltzmann Operator for Gas Mixture

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.

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.