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Loeb Solutions of the Boltzmann Equation with Initial Boundary Values and External Forces

机译：具有初边值和外力的Boltzmann方程的Loeb解

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摘要

Space-inhomogeneous Boltzmann equations with external forces were studied using collision operators, streaming operators and reflection type boundary conditions. A group of linear operators on L sup 1 was defined. Solutions to the Loeb-space version of the mild Boltzmann equations are found. Techniques from nonstandard analysis prove that these solutions conserve mass and have bounded energy and H-functions.

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作者
Elmroth, T.;
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年度 1984
页码 p.1-33
总页数 33
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Boundary value problems; Molecules; Nonlinear equations; Operators (Mathematics); Reflection; Stream functions (Fluids); Weight (Mass);

机译：边值问题;分子;非线性方程;算子（数学）;反射;流函数（流体）;权重（质量）;

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Loeb Solutions of the Boltzmann Equation with Initial Boundary Values and External Forces

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