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。
Nonlinear diffusion equation filtering is a powerful tool for enhancing image while preserving edges not drifting or blurred.
非线性扩散方程滤波是一种有效的图象增强算法，能在清除图象噪音的同时保存界面不发生漂移或模糊。
In Chapter 1, we introduce the physics background of this class of nonlinear diffusion equation and generalize the monotone iteration.
第一章介绍了这类非线性扩散方程的物理背景以及单调迭代法的大致过程。
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 properties of solution to a class of quasilinear degenerate parabolic system coupled via three nonlinear diffusion equation are considered.
研究了由三个拟线性退化抛物型方程通过非线性项耦合而得到的一类拟线性退化抛物方程组解的性质。
This class of nonlinear diffusion equation with convection term resemble to the celebrated equation arising in statistical mechanics and have important physical sense.
这类具有对流项的非线性扩散方程，类似于著名的统计力学方程，具有重要的物理意义。
This paper discusses the problem of speckle reducing of SAR image based on nonlinear diffusion equation in order to reduce the noise of SAR image and improve the image's quality.
探讨SAR图像相干斑抑制的非线性扩散方程方法。以抑制SAR图像噪声，提高图像质量。
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。
For the nonlinear convection-dominated diffusion equation, the method can stabilize the numerical oscillation, 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，更重要的是可以加快收敛速度、提高计算效率。
A numerical method for the IBV problems of the nonlinear reaction-diffusion equation was described.
本文讨论了求非线性反应—扩散方程初边值问题数值解的一种方法。
In the article, the fully discrete finite difference scheme for a special nonlinear reaction-diffusion equation is established.
对一类特殊的非线性反应扩散方程进行完全离散，得到非线性的有限差分格式。
In the chapter 2, we find the separation of variables solutions for nonlinear reaction diffusion equation (2.4) by utilizing the group foliation method.
在第二章中我们主要利用群分支法来求解非线性扩散方程(2.4)的分离变量解。
In chapter 4, for 2d nonlinear convection-dominated diffusion equation, a two-grid scheme of characteristic finite-element solution is constructed.
第四章里，对二维非线性对流扩散方程，构造了特征有限元的两重网格算法，并给出了相应的收敛性分析，数值例子。
Fractional nonlinear convection-diffusion equation with external forces is given.
建立了含有外力的分数阶非线性对流-扩散方程。
In this paper, the second initial and boundary value problem of a nonlinear singular diffusion equation is discussed.
讨论了非线性奇异扩散方程的第二初边值问题，证明了存在唯一的光滑解，且解关于初值是连续依赖的。
In this paper, the second initial and boundary value problem of a nonlinear singular diffusion equation is discussed.
讨论了非线性奇异扩散方程的第二初边值问题，证明了存在唯一的光滑解，且解关于初值是连续依赖的。
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