高维抛物方程迎风区域分裂差分方法

结合迎风方法和区域分裂思想,采用一阶迎风、二阶修正迎风法逼近高维抛物方程的对流项.内边界处和子区域分别对应区域分裂显隐格式;并运用极值原理和嵌入定理给出了收敛性分析,最后给出数值试验,说明其实际意义.     

NUMERICAL METHOD AND APPLICATION FOR THREEDIMENSIONAL NONLINEAR SYSTEM OF DYNAMICS OF FLUIDS IN POROUS MEDIA

For the system of multilayer dynamics of fluids in porous media, the second order upwind finite difference fractional steps schemes applicable to parallel arithmetic are put forward. Some techniques, such as calculus of variations, energy method, multiplicative commutation rule of difference operators, decomposition of high order difference operators and prior estimates are adopted. Optimal order estimates are derived to determine the error in the second order approximate solution. These methods have already been applied to the numerical simulation of migration-accumulation of oil resources.     

Fixed stream-tube method for solving two-phase plane flow problems and its theoretical analysis

The fixed stream-tube method widely adopted in engineering field for giving an approximate solution to the two-dimensional problems of two-phase flow through porous media is summarized and an improvement has been made in this paper. Its core part, i.e., the fluid displacement within a one-dimensional stream tube with variable cross-sectional area under a given pressure difference across the tube is thoroughly studied. The existence and uniqueness of solution are proved, the exact solution, numerical solution and its convergence, stability analyses are given in this paper.     

强迫二阶非线性泛函微分方程解的振动性与渐近性态

方程(1.1)有一个解x(f)能延拓于半无限区间(t_0,∞)上,其中t_0>0.本文将仅限于讨论这类可以延拓于(t_0,∞)上的解。 方程(1.1)的解称做振动的,如果它有任意大的零点;否则它将被称为     

聚乙烯胺类修饰萘酰亚胺衍生物的合成、DNA键合行为和活性研究

合成了二乙烯三胺、三乙烯四胺和四乙烯五胺等低分子量聚乙烯胺类修饰的萘酰亚胺衍生物.通过UV-Vis谱、荧光光谱、圆二色谱和热变性试验研究了合成化合物与小牛胸腺DNA的键合行为,同时通过四甲基偶氮唑蓝(MTT)染色法研究了化合物对Bel-7402(人肝癌细胞)、HL-60(白血病细胞)、A549(人肺癌细胞)和Hela(人宫颈癌细胞)等细胞株的体外抗肿瘤活性,化合物NI1对A549细胞显示良好的抑制活性,优于阳性对照顺铂.     

其真商群为满足极小条件的FO-群的群

本文利用外FA-群(JNFA-groups)的结果,给出了其真商群为满足极小条件的FO-群但它本身不具备这种性质的群的结构的满意的描述。     

探索两个世界的分界线

据2008年9月27日美国Science News报道:9月3日费米实验室的Dzero探测器发言人DmitriDenisov宣布,他们发现了一个由底夸克和围绕着它旋转的两个奇异夸克组成的奇异粒子,该粒子被命名为Ωb-(Omega-b-minus).这是继1964.年发现由3个奇异夸克组成的奇异粒子后,又一个符合粒子物理标准模型所预见的粒子.美国斯坦福直线加速器中心的物理学家Michael Peskin誉此发现为装饰在美妙理论桂冠上的又一根羽毛.     

Modified characteristic finite difference fractional step method for moving boundary value problem of nonlinear percolation system

A fractional step scheme with modified characteristic finite differences running in a parallel arithmetic is presented to simulate a nonlinear percolation system of multilayer dynamics of fluids in a porous medium with moving boundary values. With the help of theoretical techniques including the change of regions, piecewise threefold quadratic interpolation, calculus of variations, multiplicative commutation rule of difference operators, multiplicative commutation rule of difference operators, decomposition of high order difference operators, induction hypothesis, and prior estimates, an optimal order in l ² norm is displayed to complete the convergence analysis of the numerical algorithm. Some numerical results arising in the actual simulation of migration-accumulation of oil resources by this method are listed in the last section.     

渗流耦合系统动边值问题特征分数步差分方法

对多层渗流方程耦合系统动边值问题,提出适合并行计算的一类特征分数步差分格式,利用区域变换、变分形式、粗细网格配套、乘积型叁二次插值、差分算子乘积交换性、高阶差分算子的分解、先验估计的理论和技巧,得到收敛性的最佳阶l2误差估计．该方法已成功地应用到多层油资源运移聚集的资源评估生产实际中,得到了很好的数值模拟结果．     

梳型聚合物在固液界面吸附形态的Monte Carlo模拟

采用Monte Carlo模拟方法对PAA/PEO梳型聚合物在固液界面吸附形态进行了模拟,得到了聚合物在液相中聚集形态以及在固液界面上吸附形态的瞬时构型,同时获得了聚合物的吸附层厚度、均方回转半径和吸附在固液界面的各种链段数等微观信息. 结果证实：随着聚合物的接枝数Np增大,聚合物在液相中的扩散系数逐渐降低、相对粘度逐渐增大;当Np≥6时,羧基阴离子基团置于吸附层最外围,吸附层厚度近似等于PEO侧链长度,聚合物在固体表面形成空间排斥为主、静电排斥为辅的吸附状态;吸附聚合物分子密度过低或过高均不能起到良好的空间屏蔽或阻隔效应;吸附在固体粒子表面聚合物应该具有适宜的吸附-脱附自平衡能力.