Approximate Solutions of the Boltzmann Equation with Infinitely Many Modes

被引：1

作者：

Hordevs'kyi, V. D. ^{[1
]}

Hukalov, O. O. ^{[2
]}

机构：

[1] Kharkov Natl Univ, Kharkov, Ukraine

[2] Verkin Inst Low Temp Phys & Engn, Kharkov, Ukraine

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2017年 / 69卷 / 03期

关键词：

D O I：

10.1007/s11253-017-1369-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For the nonlinear kinetic Boltzmann equation in the case of a model of hard spheres, we construct its approximate solution in the form of a series of Maxwellian distributions with coefficient functions of the space coordinate and time. We establish sufficient conditions for the coefficient functions and the values of hydrodynamic parameters appearing in the distribution that enable us to make the analyzed deviation arbitrarily small.

引用

页码：361 / 375

页数：15

共 10 条

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[6] 2-A, DOI 10.1002/1099-1476(20000910)23:133.0.CO
[7] 2-A]
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