Initial-boundary value problem for the linearized Boltzmann equation describing velocity distribution of free electrons

Frantisek Chvala

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Initial-boundary value problem for the linearized Boltzmann equation describing velocity distribution of free electrons

机译：描述自由电子速度分布的线性化玻尔兹曼方程的初边值问题

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摘要

The velocity distribution function of free electrons in a partially ionized gaseous medium is studied as a solution of an initial-boundary value problem for the linearized Boltzmann equation with a source term. Presence of external electric field is assumed. Global existence, uniqueness, and continuity of the solution are established under specified hypotheses.

机译：研究了部分电离的气态介质中自由电子的速度分布函数，作为带有源项的线性化Boltzmann方程的初边界值问题的解决方案。假设存在外部电场。解决方案的全局存在性，唯一性和连续性是根据特定的假设确定的。

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《Acta Technica CSAV》 |2002年第3期|共12页
作者
Frantisek Chvala;
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原文格式 PDF
正文语种 eng
中图分类工程设计;
关键词
Velocity distribution function; External forces; Linearized Boltzmann equation; Source term; Initial-boundary value problem;

机译：速度分布函数;外力;线性玻尔兹曼方程;源项;初边值问题;

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专利

1. Initial-boundary value problem for the linearized Boltzmann equation describing velocity distribution of free electrons [J] . Frantisek Chvala Acta Technica CSAV . 2002,第3期

机译：描述自由电子速度分布的线性化玻尔兹曼方程的初边值问题
2. Nonlinear dynamics in the initial-boundary value problem on the fluid flow from a ledge for the hydrodynamic approximation to the boltzmann equations [J] . N. M. Evstigneev, N. A. Magnitskii Differential Equations . 2010,第12期

机译：从壁架进行流体动力学近似到boltzmann方程的流体初始边界值问题的非线性动力学
3. Nonlinear dynamics in the initial-boundary value problem on the fluid flow from a ledge for the hydrodynamic approximation to the boltzmann equations [J] . Evstigneev N.M., Magnitskii N.A. Differential equations: A translation of differensial'nye uraveniya . 2010,第12期

机译：从壁架进行流体动力学近似到boltzmann方程的流体初始边界值问题的非线性动力学
4. Velocity Differential Equation for Electrons at Point Throughout the Volume of Material Space Due to Potential Distribution Function [C] . Vineet Kumar International conference on manufacturing advanced computing, renewable energy and communication . 2019

机译：由于潜在的分布函数，在整个材料空间的速度速度差动方程
5. Multi-term approximation to the Boltzmann transport equation for electron energy distribution functions in nitrogen [D] . Feng, Yue 2012

机译：氮中电子能量分布函数的玻耳兹曼输运方程的多项近似
6. Comparing the Predictions of the Nonlinear Poisson-Boltzmann Equation and the Ion Size-Modified Poisson-Boltzmann Equation for a Low-Dielectric Charged Spherical Cavity in an Aqueous Salt Solution [O] . Alexander R.J. Silalahi, Alexander H. Boschitsch, Robert C. Harris, -1

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7. Linear Boltzmann-like equation, describing non-classical particle transport, and related asymptotic solutions for small mean free paths [O] . Rukolaine, Sergey A. 2015

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8. Numerical Solution of the Boltzmann Equation for Energy Distributions of Electrons with Inelastic Scattering on Molecules [R] . J. H. Hancock, R. C. Jones, C. B. Mills 1972

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Initial-boundary value problem for the linearized Boltzmann equation describing velocity distribution of free electrons

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