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1)  homogeneous Boltzmann equation
齐次BOltzmann方程
2)  homogeneous Fokker-Planck-Boltzmann equation
齐次Fokker-Planck-Boltzmann方程
3)  homogeneous equations
齐次方程
4)  homogeneous equation
齐次方程
1.
The treatment,by which the non-homogeneous equation was transformed into homogeneous equation,not only simplifies.
将非齐次方程转化为齐次方程不仅使问题变得大为简化,同时也减少了数值计算的工作量。
2.
Considering the symplectic relations of variations in the thermal equilibrium formulations and gradient equations,the non-homogeneous Hamilton canonical equation was transformed into homogeneous equation for solving independently the coupling problem of piezothermoelastic bodies by increasing the dimensions of the canonical equation.
考虑热平衡方程与导热方程中变量的对偶关系,通过增加正则方程的维数,成功地将非齐次的正则方程转化为能独立求解的压电热弹性体耦合问题的齐次方程。
3.
First of all,a non-linear Schrodinger equation can be converted into homogeneous equations,and then the precise integration method can be used to solve these problems.
首先将非线性薛定谔方程变形为齐次方程的形式,然后用精细积分法模拟其随时间的演化过程。
5)  homogeneous/non-homogeneous equations
齐次/非齐次方程
6)  Boltzmann equation
Boltzmann方程
1.
Heat conduction and electro-magneto-thermoelasticity based on the Boltzmann equation under the electric and magnetic fields;
基于Boltzmann方程在外加电场和磁场作用下热传导及电磁热弹性理论
2.
A new solution to Boltzmann equation of dilute granular flow with homotopy analysis method
低浓度颗粒流Boltzmann方程的同伦分析方法解
3.
By means of a new iteration method,the existence of a backward solution of Boltzmann equation is proved,with initial data close to a local Maxwell in the case of hard potentials with angular cut-off and with infinite mass and energy.
在初值能量无限以及碰撞核为Maxwell分子模型的情况下,采用一种新的迭代方法,证明了Boltzmann方程负向解的存在性。
补充资料:二阶线性齐次微分方程

二阶线性微分方程的一般形式为

ay"+by'+cy=f(1)

其中系数abc及f是自变量x的函数或是常数。函数f称为函数的自由项。若f≡0,则方程(1)变为

ay"+by'+cy=0(2)

称为二阶线性齐次微分方程,而方程(1)称为二阶线性非齐次微分方程

说明:补充资料仅用于学习参考,请勿用于其它任何用途。
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