一类Gauss随机扩散过程方程组解的连续惟一及相合性分析

在完备概率空间(Ω,F,P)中,讨论了一类带非超前泛函的条件Gauss随机扩散过程方程组解的连续惟一性及其具有连续惟一强解的条件,并在方程组存在相应连续惟一强解的情况下,讨论了σ-代数Ftξ和Ftξ0,-W的相合性,得到了关于更新过程-W=(-Wt),t≥0包含有与可观测过程ξ相同“信息”的结果Ftξ=Ft0ξ,-W,0≤t≤T,该结论对于进一步研究此类过程的某些最优控制问题具有重要意义.     

介孔材料-酸性红12染料分子体系动力学模型的建立和模拟

以酸性红12作为多苯环长链发色有机物的代表,通过对有效扩散系数的测定,确定其在介孔材料颗粒体上的吸附等温式和平衡接近率随时间变化的关系.利用非稳态扩散传质与非稳态热传导过程类比速率方程相似的特点,应用Peterson的热传导近似公式,用计算机求解超越方程,得到了酸性红12在介孔复合材料颗粒内的有效扩散系数并进行了拟合验证,得出该传质过程的主要作用力类型.     

Vignetting in electro-optical distance meters

Vignetting in the optical system of an electro-optical distance meter is described, and the impact of the measuring conditions is dealt with. The method of analysis, involving numerical calculations, is given and the results for three typical cases are shown.     

Locally one-dimensional difference schemes for the fractional order diffusion equation

Locally-one-dimensional difference schemes for the fractional diffusion equation in multidimensional domains are considered. Stability and convergence of locally one-dimensional schemes for this equation are proved.     

A Class of Nonlinear Nonlocal Singularly Perturbed Reaction Diffusion Systems

The singularly perturbed initial boundary value problems for the reaction diffusion system are raised. Firstly, under suitable conditions, using a iteration technique, the differential inequalities theorem is constructed and introducing two auxiliary functions the existence and uniqueness theorem of solution for the basic reaction diffusion system is proved. Using the singularly perturbed method the formal asymptotic expressions of the solution are constructed with power series theory. By using the comparison theorem the existence and its asymptotic behavior of solution for the original problem are studied. Finally, using method of estimate inequalities, the structure of solutions for the problem is discussed thoroughly in three cases and asymptotic solution of the original problem is given. The asymptotic behavior of solution in the three cases is proved.     

解二维扩散方程的Du Fort-Frankel差分格式

DuFort-Frankel差分格式是对Richardson格式进行修正得到的差分格式。本文将它从一维推广到二维,给出了二维DuFort-Frankel差分格式相容性所满足的条件,并严格论证了它的绝对稳定性     

对开展现代远程教育的思考

阐述了发展现代远程教育的意义和应具备的条件，提出了开展现代远程教育的途径和建议．     

Toughening effect of ethylene‐vinyl acetate rubber on nylon 1010 compatibilized by maleated ethylene‐vinyl acetate copolymers

The toughening effect of ethylene‐vinyl acetate rubbers (EVM) with maleated ethylene‐vinyl acetate copolymers (EVA‐g‐MAH) on the nylon 1010 was investigated. The addition of 5 phr (per hundred nylon 1010) EVM increased the elongation at break of nylon 1010 to a great extent. The notched Izod impact strength of nylon/EVM blends increased with increasing EVM content. Scanning electron microscope showed that the EVM particle size was around 0.5 μm when the EVM content was 5 phr and increased with increasing EVM content. After the addition of EVA‐g‐MAH to nylon/EVM (100/20) blend, the average diameter of EVM particles decreased from more than 1 μm to 0.5–0.6 μm. EVA‐g‐MAH could improve the adhesion between nylon 1010 and EVM. A sharp brittle‐ductile transition (BDT) was observed when the interparticle distance was about 0.2 μm, independent of the addition of EVA‐g‐MAH. The notched Izod impact strength of nylon/EVM blends at low temperatures was measured and the BDT shifted toward low temperatures with increasing EVM or EVA‐g‐MAH content. © 2009 Wiley Periodicals, Inc. J Polym Sci Part B: Polym Phys 47: 434–444, 2009     

关于一类扩散过程的随机变分计算

对一类比较广泛的随机微分方程的解进行了随机变分计算，在一定条件下得到了相应的分部积分公式．     

Mineralization of biomimetically carboxymethylated collagen fibrils in a model dual membrane diffusion system

In the present work, we show for the first time, that N^?-carboxymethyllysine is the major product of the in vitro non-enzymatic glycation reaction between fibrillar collagen and glucuronic acid. Dual diffusion membrane system was effectively used for oriented crystal growth of octacalcium phosphate/hydroxyapatite on the biomimetically carboxymethylated collagen fibrils. We hypothesize that the function of biomimetically carboxymethylated collagen is to increase the local concentration of corresponding ions in such a way that a critical nucleus of ions can be formed, leading to the formation of the mineral under specific micro-environment conditions achieved by using diffusion membrane system.