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arXiv 1511.05723math-phmath.MP
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分离变量的平地辐射输运方程

The radiative transport equation in flatland with separation of variables

Manabu Machida

摘要:

线性玻尔兹曼方程可以用一维中的变量分离来求解,即,在平面对称的三维空间中。在这种方法中,解决方案是由叠加的本征模式,有时被称为奇异本征函数。在本文中,我们探讨了在平地或二维空间的奇异本征函数方法。

英文摘要:

The linear Boltzmann equation can be solved with separation of variables in one dimension, i.e., in three-dimensional space with planar symmetry. In this method, solutions are given by superpositions of eigenmodes which are sometimes called singular eigenfunctions. In this paper, we explore the singular-eigenfunction approach in flatland or two-dimensional space.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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