Direct algorithms for constructing high-order conservation laws of nonlinear partial differential equations〖CB〗

提出了构造非线性偏微分方程高阶守恒律的直接法并在Maple上实现,算法易操作,效率高.作为算法的应用,考虑了许多高维非线性偏微分方程,如Caudrey-Dodd-Gibbon-Sawada-Kotera方程、Boiti-Leon-Manna-Pempinelli方程和(2+1)-维Burgers方程以及It?方程组,得到了它们的新的高阶守恒律.该算法还可用于构造更高维更高阶的守恒律,亦可推广至微分-差分方程(组).     

一类图的边幻和标号及其算法

探索和研究了一类新的图类的边幻和标号问题,给出了相应的边幻和标号算法,并给出了严格的数学证明,从而得出这类图都是边幻和图等结论.     

MFI-type zeolite membrane on hollow fiber substrate for hydrogen separation

High performance MFI-type zeolite membranes on the outer surface of α-Al 2 O 3 hollow fibers were synthesized by secondary growth method using pure silica sol without an organic template. X-ray diffraction was used to characterize the phase structure of both the seed layer and zeolite membrane. The morphologies of the seed layer and zeolite membrane were examined by scanning electron microscopy. The zeolite membrane achieved an extraordinary H 2 /CO 2 separation factor of 10 with a high H 2 permeance of 5.56 10 -7 mol m -2 s -1 Pa -1 at 723 K.     

The occurrence and significance of C25HBI in Cenozoic saline lacustrine source rocks from the Western Qaidam Basin,NW China

The saline lacustrine deposit of the Oligocene Lower Ganchaigou Formation is the main source rock for the Western Qaidam Basin,NW China.In this study,abundant highly branched isoprenoids with 25 carbon atoms (C25HBI) were detected in the upper section of the Lower Ganchaigou Formation.C25HBI is a biomarker for diatoms,and can provide information regarding biogeochemical processes during production and preservation of sedimentary organic matter.The carbon isotopic values of C25HBI in these source rocks were in the range of-18‰ to-20‰.The relative enrichment in 13C of C25HBI suggests that these isoprenoids were derived from diatom blooms.In this case,the diatoms used HCO3-as an additional carbon source to dissolved CO2 in water column due to their high biological productivity.Conversely,the diatom blooms indicated an abundant nutrient supply to the environment and high primary productivity.Thus,the occurrence of 13C-enriched C25HBI could be an ideal marker for good source rocks.The decreased concentration of CO2(aq) in the water column induced by diatom blooms can result in an enrichment in 13C of organic matter synthesized by primary producers.This may be a possible reason for the occurrence of 13C-enriched organic matter in the Cenozoic source rocks of the Western Qaidam Basin.Previous studies have shown that the high carbon number n-alkanes sourced from diatoms have no carbon preference.Hence,the sources of n-alkanes in regional source rocks are complex,and should be considered when discussing the sources of organic matter in future studies.     

Evaluation of humic acid removal by a flat submerged membrane photoreactor

A flat submerged membrane combined with a TiO 2 /UV photocatalytic reactor (FSMPR) was employed in batch mode to remove humic acid (HA). HA removal efficiency was characterized by UV 254 absorbance, UV-vis spectra, dissolved organic carbon (DOC) concentration, specific UV absorbance (SUVA), and trihalomethane formation potential (THMFP). The FSMPR process was effective in removing more than 86% of DOC and nearly 100% of UV 254 absorbance, while the THMFPs of samples were reduced to < 19 μ g/L after 150 min of treatment. In addition, changes in transmembrane pressure (TMP) with and without UV were evaluated; TiO 2 /UV was effective at controlling membrane fouling by HA. Analysis of the molecular weight (MW) distributions and three-dimensional excitation-emission matrix (EEM) fluorescence spectra of HAs revealed that the effectiveness in membrane fouling control is a result of changes in HA molecular characteristics. The TiO 2 /UV photocatalytic reactor caused the degradation of high MW, hydrophobic humic-like molecules to low MW, hydrophilic protein-like molecules, although this fraction was not completely removed during 150 min of treatment and was less responsible for membrane fouling.     

Changes in physical features of Glacier No. 1 of the Tianshan Mountains in response to climate change

This study analyzes the changes in glacier zones and snow composition of Glacier No.1 in the Tianshan Mountains of China since 1961,and their possible relations with climate.It is found that precipitation dominated the snow composition and that air temperature and precipitation controlled the distribution of glacier zones,but interannual change in precipitation had a relatively large effect on glacier zones and snow composition during 1963–1981 (P10) and 1963–1989 (P11).However,during 1982–2007 (P20) and 19...     

K2O对氧化物原料合成Al8B4C7的影响

采用硼砂、金属铝和碳粉为原料一步合成Al8B4C7.在合成过程中掺入不同含量的K2O,研究杂质K2O对合成Al8B4C7的影响.将原料混合均匀,在200MPa的压力下压制成φ20mm×20mm的圆柱型试样,将干燥后的试样在不同温度下的流动氩气气氛中进行合成.利用化学分析、XRD和SEM等分析测试技术,研究了K2O含量以及烧结温度对反应合成材料物相组成和显微结构的影响.结果表明:尽管加入不同含量的K2O,但其高温烧结反应后,若K2O的质量分数在0.019%～0.028%之间,就不出现含K的新相.K2O的加入不利于Al8B4C7的合成,它可将Al8B4C7的开始生成温度提升至1 400℃,而且1 700℃时,Al8B4C7含量较不加入K2O时明显减少.添加K2O合成的Al8B4C7为1μm左右大小的无规则小颗粒.     

基于邻域粗糙集的不完整决策系统特征选择算法

针对不完整决策系统属性约简算法时间复杂度较高问题,基于正域不变条件下,决策系统分类能力保持不变原则,提出不完整决策系统前向顺序特征选择算法.该算法从约简集为空集开始,根据在约简集合中加入各属性后对正域影响程度大小将属性降序排列,采用顺序前向搜索,选择当前最佳特征加入特征约简集合,确定最佳特征子集.将该算法扩展到基于邻域...     

LiMn2O4单晶的充放电性能

为进行尖晶石LiMn2O4的改性优化,合成了大小为100~400 nm,呈八面体形貌的LiMn2O4尖晶石单晶,并采用XRD、SEMI、CP等方法进行了分析,旨在对该尖晶石单晶的充、放电性能进行表征.