You then can a multi-group either diffusion equation or solve these types of equations and more rigorously.
然后你有一个多群的或者是扩散等式,或者更严厉地解决这些等式。
When you combine these two relations together that is how you get the diffusion equation.
将这两个关系式结合起来,就得到了扩散方程，对不起。。。
I just wanted to remind you, just to clarify what happened at the end, we got the diffusion equation from two bits of information.
我仅仅是想让你们想起来，仅仅是想讲明上次课结束时说了什么，我们从两方面得到了扩散方程。
Let me now try and introduce the Boltzmann equation because it basically gives us a much deeper appreciation than diffusion theory can in terms of what's going on.
我现在尝试介绍波尔兹曼方程，因为它给你们一个比扩散理论，更深刻的理解，在解释，发生的事情方面。
And, I'm going to have to explain to you, where does it come from? OK, but before I do that, well, let me point out actually that the equation is not just the diffusion equation.
给你们解释一下，这个从哪儿来？，在我解释之前，告诉大家，这个方程不只是扩散方程。
So, the diffusion equation is something that governs, well, what's called diffusion.
扩散方程是，适用于扩散过程的。
So, let's look at something called the diffusion equation.
来看看扩散方程。
The mass transfer equation was introduced into heat transfer model of falling film evaporation. The radial velocity, mass diffusion coefficient and variation of film thickness were taken into account.
将传质方程引入到垂直管降膜蒸发传热模型中，求解时考虑了径向速度、质量扩散系数和膜厚变化对传热的影响。
Using alternating segment explicit implicit method for the variable coefficient convection diffusion equation. The method has the obvious property of parallelism and is unconditionally stable.
应用交替分段显隐方法求解变系数对流扩散方程，此方法具有很好的并行性且无条件稳定。
The model consists of a single advection? Diffusion equation with a source term.
此模型由一个单一的具有源项的对流扩散方程组成。
In this paper, we proposed a diffusion equation for simulating the problem of pollution, and discussed its application to point pollution, especially while instantaneous point pollution happened.
给出了一个适合于模拟污染问题的扩散方程，讨论了它在点污染，尤其是在瞬时点污染发生时的应用。
Considering the rising speed in clouds changes with altitudes we obtained the solution for the diffusion equation.
在考虑了云中上升速度随高度变化的情况下求得了扩散方程的解。
In this paper, the blow-up rate is determined for a nonlinear diffusion equation with nonlinear absorption and nonlinear boundary flux.
本文研究一类具有非线性吸收和非线性边界流的非线性扩散方程，建立了解的爆破速率估计。
The advantages of the diffusion equation feature are gained to discuss the visual process of scarp slope, together with forcasting it's future shape.
我们初步利用扩散方程的这一特性来探讨断层崖坡面演化过程的可视化方法，同时预测其未来的形态。
For the slow diffusion equation with the source term, we also obtained the finite propagation property of solution.
此外，对于具有源项慢速扩散方程，得到了解的有限传播性质。
For the nonlinear convection-dominated diffusion equation, this method can not only stabilize the numerical oscillation but also accelerate the convergence and improve the computational efficiency.
对于非线性对流占优扩散方程，不仅可以消除因对流占优项引起的数值振荡现象，还可以加快收敛速度、提高计算效率。
A nonlinear problem for reaction diffusion equation with a perturbed boundary is considered.
研究了具有摄动边界的非线性反应扩散方程的问题。
In this thesis, the accuracy and the validity conditions of the diffusion equation as a forward model for the optical tomography was firstly studied.
本文首先研究了扩散方程作为光学层析成像问题的正向模型的精确性及其适用条件。
This paper deals with the periodic optimal control governed by a degenerate nonlinear diffusion equation.
研究由退化非线性扩散方程所支配系统的周期最优控制问题。
An algorithm based on the anisotropic diffusion equation is presented to suppress the speckle noise of B-Scan ultrasound image.
提出了一种基于各向异性扩散方程的B超图像斑点噪声抑制的算法。
The pressure distribution of spherical and cylindrical flow is derived from the diffusion equation, and solutions under three conditions are given.
由扩散方程解出了球形流动与柱形流动的压力分布，确定了三种条件下的解。
A class of singularly perturbed reaction diffusion equation initial boundary value problem with a curve of turning point is discussed.
讨论了一类具有转向点曲线的奇摄动反应扩散方程初始边值问题。
The microscopic lattice kinetic model of aging process was build, using the coupling of the theory of microscopic elastic energy and microscopic diffusion equation.
将微观弹性应变能理论和微观扩散方程相耦合，建立起时效过程微观晶格动力学模型。
First, the neutron diffusion equation is converted to three coupled one dimensional partial flux equation through transverse integration.
首先通过横向积分将中子扩散方程化为三个互相耦合的一维偏通量方程。
The releasing characteristic of soil phosphorus can be exactly depicted by parabolic diffusion equation.
抛物线扩散公式能很好地拟和土壤磷素释放特征。
Numerical resolution of a non-linear diffusion equation was used to fit the experimental data.
浓度剖面的实验数据由非线性扩散方程的数值解进行拟合。
Partial differential diffusion equation is used to remove the noise of medical ultrasonic image.
研究了偏微分扩散方程在医学超声图像去噪中的应用。
The integral N-S equation is regarded as a special diffusion equation and the pressure term, convective term are regarded as source terms.
将此N S方程看作一个特殊的扩散方程，将压力项与对流项看作是源项，得到一个积分方程。
An improved method based on anisotropic diffusion equation was proposed.
提出了一种基于各向异性扩散方程的改进方法。
IN this paper, a new method which is based on anisotropic diffusion equation for INSAR phase noise reduction is proposed.
该文提出了一种基于各向异性扩散偏微分方程抑制干涉合成孔径雷达(INSAR)相位噪声的算法。
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