图像滤波中P-M方程的两层格式算法

基于偏微分方程方法的图像处理是近十多年来发展起来的新兴领域,近年来,偏微分方程在刻画图形演化和进行特征分析等方面取得了非凡的效果,然而使用这些方法却面临着计算效率低下的问题,如何大规模提高图像处理中所涉及微分方程的快速数值计算成为一个数字图像处理里面的重要问题。在经典的Perona Malik(P-M)方程的图像处理方法基础上,构造显、隐式相结合的两层有限差分格式来提高求解的速度。仿真结果表明,构造的两层格式简单有效。     

Cone-valued Lyapunov functions and stability for impulsive functional differential equations

The stability criteria in terms of two measures for impulsive functional differential equations are established via cone-valued Lyapunov functions and Razumikhin technique. The stability can be deduced from the (Q₀,Q)-stability of comparison impulsive differential equations. An example is given to illustrate the advantages of the results obtained.     

Mathematical aspects of the LCAO MO first order density function (1): atomic partition, metric structure and practical applications

Partition of the first order density function within LCAO MO theory permits the definition of Mulliken and Minkowski metric spaces. The metric matrices obtained become useful to connect density atomic partition with quantum similarity measures, Mulliken populations, EHT, expectation values of Hermitian operators and the comparison of two density distributions.     

阴离子Gemini表面活性剂和阳离子传统表面活性剂混合体系双水相中囊泡形貌的转变

通过电子显微镜观察了阴离子gemini表面活性剂C₁₁- p-PhCNa和阳离子传统表面活性剂DTAB混合体系双水相中囊泡形貌随体系组成和浓度的转变。结果表明,双水相较浓的一相中形成了多层囊泡,囊泡的大小和壁厚随相的组成和浓度而改变,两组分等电荷混合有利于形成较大且壁较厚的囊泡。分析表明, gemini表面活性剂在聚集体中采取的反式构象可能是其容易形成厚壁多层囊泡的重要原因,C₁₁- p-PhCNa联接链上的苯氧基与DTA⁺之间的p-阳离子相互作用以及两组分相反电性头基之间的静电吸引使囊泡壁的多层结构更加稳定。     

Second phase spinodal decomposition for the Cahn-Hilliard-Cook equation

We consider the dynamics of a nonlinear partial differential equation perturbed by additive noise. Assuming that the underlying deterministic equation has an unstable equilibrium, we show that the nonlinear stochastic partial differential equation exhibits essentially linear dynamics far from equilibrium. More precisely, we show that most trajectories starting at the unstable equilibrium are driven away in two stages. After passing through a cylindrical region, most trajectories diverge from the deterministic equilibrium through a cone-shaped region which is centered around a finite-dimensional subspace corresponding to strongly unstable eigenfunctions of the linearized equation, and on which the influence of the nonlinearity is surprisingly small.

This abstract result is then applied to explain spinodal decomposition in the stochastic Cahn-Hilliard-Cook equation on a domain . This equation depends on a small interaction parameter  , and one is generally interested in asymptotic results as  . Specifically, we show that linear behavior dominates the dynamics up to distances from the deterministic equilibrium which can reach  with respect to the -norm.

     

高邮凹陷阜一段差异成岩作用及成因

高邮凹陷阜一段处于不同成岩阶段的储层出现了大致相同的成岩矿物的成岩现象,通过对目的层成岩阶段、成岩现象分析,结合构造、盆地流体等因素,提出差异成岩原理,认为当地层倾斜角度不大时,同一时代的地层往往处于相同的成岩阶段;早期成岩阶段的产物可能会在晚期成岩阶段中残留;当地层倾角较大时,同一时代的地层可能处于不同的成岩阶段,深部成岩流体的向上流动使浅部处于早期成岩阶段的储层具有晚期成岩现象.     

基于产品结构的炼钢连铸区段产能解析

生产能力是衡量钢厂生产运营状况的重要技术经济指标。通过对国内某全连铸转炉特殊钢厂生产过程的解析,确立了不同钢种在炼钢、精炼、连铸3个主体工序的运行时间参数。在此基础上探讨炼钢连铸区段中各工序产能与生产产品结构、炼钢连铸区段的系统产能与工序产能的关系,分析不同产品结构下制约系统产能的瓶颈工序,对此提出提高系统产能的相应改进措施。形成了具有普适性的炼钢连铸区段产能研究方法,为钢厂确定合理的产能和产品结构指标以及充分发挥整个炼钢连铸区段系统的生产能力提供一定指导和理论依据。