THE LARGE TIME BEHAVIOR OF SPECTRAL APPROXIMATION FOR A CLASS OF PSEUDOPARABOLIC VISCOUS DIFFUSION EQUATION

The asymptotic behavior of the solutions to a class of pseudoparabolic viscous diffusion equation with periodic initial condition is studied by using the spectral method. The semidiscrete Fourier approximate solution of the problem is constructed and the error estiation between spectral approximate solution and exact solution on large time is also obtained. The existence of the approximate attractor AN and the upper semicontinuity d(AN,A)→0 are proved.     

考虑驱动及粘性时水平槽内非传播孤子

从考虑驱动和粘性条件下水平矩形槽内流体服从的非线性Ｓｃｈｒｏｄｉｎｇｅｒ方程及其孤立子解出发，得到了驱动地孤立子所做的功及孤立子总机械能的表达式，进而证明了文献（８）中提及的λ＝＋１型孤立子是存在的，而λ＝－１型孤立子并地对应的物理实在。     

扩散限制聚集与粘性指化图案的模拟研究

扩散限制聚集与粘性指化图案的模拟研究顾健德，田安民，鄢国森（四川大学化学系，成都，６１００６４）关键词ＤＬＡ，粘性指化，计算机模拟大自然经常以非常奇妙的方式向人们展示其魅力，吸引人们不断去思考和探索．四川大学图书馆文献阅览室的玻璃顶棚上出现的粘性指化...     

静脉血流动力学模型基本波的相互作用北大核心CSCD

静脉系统是心血管系统的重要组成部分.脉搏波在血液流动中有着突出的重要性.本文主要研究静脉血流动力学模型基本波的相互作用.血流动力学模型是2×2严格双曲型方程组,其基本波包括疏散波和激波,属于血液流动中的脉搏波.基本波相互作用后血管截面面积和血流速度发生相应的变化.     

Y2O3质点对β—NiAl涂层抗氧化性能的影响

本文用复合电沉积及粉末包装扩散渗铝技术获得了含Y_2O_3、质点的β-NiAl型新涂层,并研究了Y_2O_3、质点及其含量对涂层1100℃的氧化性能的影响。实验证明,Y_2O_3质点的加入有效地降低了涂层的氧化速率,提高了氧化膜的抗剥落能力。实验范围内的Y_2O_3含量对涂层氧化速率的影响并不明显,但通过改变涂层/氧化膜界面处氧化膜的形态可以对氧化膜的粘附性产生影响。向涂层内突出生长的针状氧化膜具有更显著的钉扎作用。复合电沉积层中弥散分布的Y_2O_3质点在渗铝过程中部分产生聚集,在制备出的复合铝化物涂层的基体/涂层界面附近形成了明显的Y_2O_3聚集层,在氧化过程中有效地抑制了涂层的退化。     

Densities,Ultrasonic Speeds,Viscosities and Refractive Indices of Binary Mixtures of Benzene with Benzyl Alcohol,Benzonitrile, Benzoyl Chloride and Chlorobenzene at 303.15 K

Densities,ρ, ultrasonic speeds, u, viscosities,η, and refractive indices, n, of pure benzene, benzyl alcohol (BA), benzonitrile (BN), benzoyl chloride (BC), chlorobenzene (CB) and their thirty six binary mixtures, with benzene as common component, were measured at 303.15 K over the entire mole fraction range. From these experimental data the values of deviations in ultrasonic speed, △u, isentropic compressibility, △k_s,excess acoustic impedance, Z^E, deviation in viscosity, Dh, and excess Gibbs free energy of activation of viscous flow, G^*E, and partial molar isentropic compressibility, Kφ,2⁰ of BA, BN, BC and CB in benzene were computed. The variation of these derived functions with composition of the mixtures suggested the increased cohesion (molecular order) in the solution and that interaction (A-B)＞(A-A) or (B-B).Moreover, theoretical prediction of ultrasonic speed, viscosity and refractive index of all the four binary mixtures was made on the basis of empirical and semi-empirical relations by using the experimental values of the pure components. Comparison of theoretical results with the experimental values was made in order to assess the suitability of these relations in reproducing the experimental values of u, η and n. Also, molecular radii of pure liquids and the average molecular radii of binary mixtures were evaluated using the corresponding refractive indices of pure liquids and binary mixtures. The average molecular radii of binary mixtures were found to be additive with respect to mole fraction of the pure component.     

Molecular Simulation on Transport Properties of Confined Water

The diffusivity and viscosity of water confined in micropores were studied by molecular dynamics simulations. The effects of pore width and density were analyzed at pore widths from 0.9 to 2.6nm. The diffusivity in micropores is lower than that of the bulk, and it decreases as pore width decreases and as density increases. But the viscosity in micropores is much larger than that of the bulk, and it increases as pore width decreases and as density increases. The diffusivity in channel parallel direction is obviously larger than that in channel perpendicular directions.     

CH4/空气简化动力学机理数值验证

选择绕圆柱预混燃烧算例，验证CH₄/空气三种简化动力学机理（16s41r、15s19r和53s325r）.考虑均匀来流，忽略湍流和湍流与燃烧相互作用以及燃料扩散效应，假设层流有限反应速率，采用保自由流5阶WENO格式求解多组分Euler方程组，得到CH₄/空气预混燃烧流场温度等值线、沿驻点线压力和温度及其CH₄、CO和CO₂质量百分数分布.结果表明：三种简化动力学机理给出的流场均出现弓形激波和火焰面，弓形激波和火焰驻点距离及其形状、诱导区宽度和简化动力学机理相关.当圆柱直径增大，弓形激波和火焰向圆柱上游移动，对应的驻点距离均增大，诱导区宽度变短，点火延时变小，但火焰和弓形激波位置次序未变化.53s325r模型要比16s41r模型和15s19r模型精度要高，点火延时覆盖的压力和温度范围也较宽，所有简化机理均未完全反应，在较大圆柱直径下游达到化学平衡.     

广义黏性逼近方法及其应用

黏性逼近方法在非扩张映射不动点问题的研究中扮演着重要的角色。提出了一类广义黏性逼近方法，在一定条件下，证明了该算法的收敛性.作为应用，将所得的收敛性结果应用于求解约束凸优化问题与双层优化问题。     

两维的粘性浅水波方程解的逐点估计（英文）

本文利用Green函数的方法得到两维的粘性浅水波方程解的逐点估计.解的逐点估计不仅形象地体现了惠更斯原理的内容,而且还能使我们能够更加清楚地了解方程解的结构和衰减速度.