Poisson-Boltzmann方程,Poisson-Boltzmann equation
1)Poisson-Boltzmann equationPoisson-Boltzmann方程
1.A Mortar Finite Element Method for Linear Poisson-Boltzmann Equation;线性Poisson-Boltzmann方程的Mortar有限元方法的数值计算
2.Although this approximation is essentially from the simplifying of non-linearPoisson-Boltzmann equation in the .虽然这是对Poisson-Boltzmann方程在高电位情况下进行非线性简化的一个结果,然而由于它和低电位时的电位变化特点是相似的,所以适用于低电位条件下相互作用力和相互作用能的计算。
2)Poisson Boltzmann equationPoissonBoltzmann方程
3)Boltzmann-Poisson systemBoltzmann-Poisson方程组
4)Vlasov-Poisson-Boltzmann systemVlasov-Poisson-Boltzmann方程组
1.Two nonlinear evolution systems are considered in this thesis, namely the multidimensional Euler Equations with damping and theVlasov-Poisson-Boltzmann system with given magnetic field.本文将研究两类非线性发展方程组的大时间状态行为,分别为带阻尼的高维Euler方程组和带外加磁场的Vlasov-Poisson-Boltzmann方程组。
5)Boltzmann equationBoltzmann方程
1.Heat conduction and electro-magneto-thermoelasticity based on theBoltzmann 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 toBoltzmann 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 ofBoltzmann 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。
英文短句/例句
1.Tjon-Wu Model of the Boltzmann Equation;Boltzmann方程的Tjon-Wu模型
2.The Viscosity Analysis on the Boltzmann Equation;Boltzmann方程的粘性分析
3.The Steady State of Dissipative Boltzmann Equation耗散Boltzmann方程的稳定态解
4.Numerical Methods Based on Boltzmann Equation in Fluid Dynamics;以Boltzmann方程为基础的流体力学数值方法
5.The Green"s Function Method for Initial-Boundary Value Problem of Boltzmann EquationBoltzmann方程初边值问题的Green函数方法
6.The Finite Volume and Kinetic Flux Vector Splitting Method Based on the Boltzmann Equation;基于Boltzmann方程的有限体积流矢量分裂法
7.On the Singular Perturbation Solution of Boltzmann Hierarchy for Two-Particles;二粒子Boltzmann方程系的奇异扰动解法
8.The Singular Perturbation Solution of Boltzmann Equations for a Gas-Mixture;混合气体Boltzmann方程组的奇异扰动解法
9.L~1 Stability and Eternal Solutions of the Boltzmann Equation;Boltzmann方程的L~1稳定性和永久型解
10.The Global Distributed Solution of Boltzmann Equation and Energy Conservation;Boltzmann方程的分布解与能量守恒
11.A Simulated-linearization Method for Boltzmann Equation and the Regularity of the Solution of Kac Equation;Boltzmann方程的一种拟线性方法及Kac方程解的正则性
12.A New Solution to Boltzmann Equation of Dilute Solid-liquid Two-phase Flows with Homotopy Analysis Method低浓度固液两相流Boltzmann方程的同伦分析方法解
13.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
14.On the Singular Perturpasion Solution of Two-Point Boltzmann Equation System (Boundary Layer Solution);二粒子Boltzmann方程组的奇异扰动解法(边界层解)
15.The Stability of Boltzmann Equation and the Polynomial Decaying Property of the Solutions under One-dimensional Boltzmann Equation;Boltzmann方程的稳定性及一维情形下解的多项式衰减性
16.Parallel Algorithms and Applications for 3-D Compressible High-speed Flows Based on Boltzmann Equations;基于Boltzmann方程三维可压缩高速流动并行算法及其应用研究
17.The Lattice Boltzmann Method for Conservative Law Partial Differential Equations守恒律偏微分方程的格子Boltzmann方法
18.Rugularity and Uniqueness of the Boltzmann Type Equations;Boltzmann型方程的正则性与唯一性
相关短句/例句
Poisson Boltzmann equationPoissonBoltzmann方程
3)Boltzmann-Poisson systemBoltzmann-Poisson方程组
4)Vlasov-Poisson-Boltzmann systemVlasov-Poisson-Boltzmann方程组
1.Two nonlinear evolution systems are considered in this thesis, namely the multidimensional Euler Equations with damping and theVlasov-Poisson-Boltzmann system with given magnetic field.本文将研究两类非线性发展方程组的大时间状态行为,分别为带阻尼的高维Euler方程组和带外加磁场的Vlasov-Poisson-Boltzmann方程组。
5)Boltzmann equationBoltzmann方程
1.Heat conduction and electro-magneto-thermoelasticity based on theBoltzmann 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 toBoltzmann 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 ofBoltzmann 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。
6)Possion-Boltzmann equationPossion-Boltzmann方程
延伸阅读
Boltzmann方程Boltzmann方程Bottzmann equation(*)的解的整体存在.压日切”恤方程IBdt口11~equa柱阅a曰叨M粗)p田困e-“”e」气体动理论中L..Boltzmann建议用来决定理想单原子气体的单个粒子分布函数的方程任11)在尼量纲变量中该方程具有形式: 器州二v、、(。·犷厂)一浪一乙、曰一).。·)这里f(x,。,0是相空间x⑧曰户粒户数的分布函数密度,x为泛维空间坐标,。为速度t为时间,厂为外力的场强,}衍。为一无量纲参数(‘已正比于相邻碰撞间粒子走过的平均趾离幸万所讨沦现象的典型尺度之间的比值).在最简单的情况卜碰撞算f共有形式: L以一户一{口(。)户。卜一刀。八卜川U一卫(“。价,·其中。’歹。为碰撞前分子的速度,叭与。’为碰撞后分子的速度,而汪.为向量v一,,方向上的主体角兀在推导Boftzmann方程时假设函数.f(、,。八的演变由其在给定时刻t时的值及气体分子间的成对碰撞所决定,并假设碰撞期间两个分子间的相互作用时间l一匕起它们耳不依赖地运动时的时间要短的多从数学观点看Bol比mann方程的推廿基十一定的算法规则,以构成与两个互相碰撞的气休分子的已知运动法则相一致的算子乙.方程(*)中t变量的变化区域为半直线t)O,:·的变化范围为整个R‘空间;而义的变化范围是R3中的亚空间Q(O也可以与R,相重合1,根据其物理意义,函数f价卜、t)应是不负的}而巨 i/‘一‘“·):、,、一二户。上的最简单的边界条件具有形式f(。一Zn(n‘门,、,t,一/(。,、才),xe矛0。6R,、其中刀为刀“的法向.方程(*)有Cauchy问题的几‘种准确提法,但对其中的任何一种提法,在对算子L的从物理上看来很自然的假设条件下却没有证明方程