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Fully Nonlinear Parabolic Equations and the Dini Condition

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Acta Mathematica Sinica,English Series 2002年第3期18卷 473-480页

作者： Xiong ZOU Partner Group of MPI for Mathematics in Leipzig at AMSS, Institute of Mathematics. CAS.Beijing 100080, P. R. China ya zhe chen School of Mathematical Sciences. Peking University, Beijing 100871, P. R. China Partner Group of MPI for Mathematics in Leipzig at AMSS Institute of Mathematics CAS Beijing P. R. China School of Mathematical Sciences Peking University Beijing P. R. China

Interior regularity results for viscosity solutions of fully nonlinear uniformly parabolic equations under the Dini condition, which improve and generalize a result due to Kovats, are obtained by the use of the approx... 详细信息

关键词： Fully nonlinear uniformly parabolic equations Viscosity solutions Dini condition

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椭圆型方程的边界正则性与Dini条件

数学学报（中文版） 2002年第4期45卷 701-710页

作者：邹雄陈亚浙中国科学院数学与系统科学研究院数学所中德合作伙伴小组北京100080 北京大学数学科学学院北京100871

笔者利用Caffarelli扰动方法,证明了Poisson方程和完全非线性一致椭圆型方程在Dini条件下其粘性解的边界正则性,从而给出了文[8]定理4.11不用位势理论的简化证明.

关键词： Poisson方程完全非线性一致椭圆型方程粘性解 Dini条件边界正则性

Interaction formulae for buckling and failure of orthotropic plates under combined axial compression/tension and shear

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Chinese Journal of Aeronautics 2022年第3期35卷 272-280页

作者： Binwen WANG Xiangming chen Xiasheng SUN Puhui chen zhe WANG ya’nan CHAI Aeronautics Science and Technology Key Laboratory of Full Scale Aircraft Structure and Fatigue Aircraft Strength Research Institute of ChinaXi’an 710065China Chinese Aeronautical Establishment Beijing 100029China State Key Laboratory of Mechanics and Control of Mechanical Structures Nanjing University of Aeronautics and AstronauticsNanjing 210016China

An interaction function was constructed based on the axial compression/tension and shear loads of orthotropic *** coefficients of the polynomial function were determined by uniaxial test *** interaction and failure interaction formulae under combined axial tension/compression and shear loads were *** on the uniaxial load test results of orthotropic plates,the buckling load and bearing capacity under any proportion of the combined loads could be predicted by using the proposed interaction *** buckling interaction curves and failure envelopes predicted by the proposed interaction formulae were in excellent agreement with the test results.

关键词： Buckling Combined loads Failure Interaction formulae Orthotropic plate

双轴应变对NbSe_(2)/MoSi_(2)N_(4)肖特基势垒的调控

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原子与分子物理学报 2025年第5期42卷 182-188页

作者：张宇哲安梦雅谢泉贵州大学大数据与信息工程学院新型光电子材料与技术研究所贵阳550025

最近一种高质量的二维(Two-dimensional,2D)半导体材料MoSi_(2)N_(4)(MSN)在实验上被成功合成,具有优异的电气和机械性能.尽管最近有大量的研究致力于揭示MSN的材料特性,但到目前为止,对MSN的电接触物理特性的探索还比较少.在这项工作中... 详细信息

最近一种高质量的二维(Two-dimensional,2D)半导体材料MoSi_(2)N_(4)(MSN)在实验上被成功合成,具有优异的电气和机械性能.尽管最近有大量的研究致力于揭示MSN的材料特性,但到目前为止,对MSN的电接触物理特性的探索还比较少.在这项工作中,构建了金属-半导体NbSe_(2)/MSN肖特基结并使用第一性原理密度泛函理论计算研究了该肖特基结的材料特性.发现NbSe_(2)/MSN接触具有超低肖特基势垒高度(Schottky barrier height,SBH),这有利于纳米电子学应用.SBH可以通过施加双轴应变的方式进行有效的调控.当施加拉伸应变时能实现NbSe_(2)/MSN肖特基结由p型肖特基接触转变为p型欧姆接触,而当施加较大的压缩应变时能实现p型肖特基接触和n型肖特基接触之间的转换.我们的研究结果为MSN的2D电触点的物理特性提供了见解,并将为设计基于MSN的2D纳米器件的高性能电触点提供关键的一步.

关键词： MoSi_(2)N_(4) NbSe_(2) 肖特基结欧姆接触

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Stability of a rat model of prehepatic portal hypertension caused by partial ligation of the portal vein

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World Journal of Gastroenterology 2009年第32期15卷 4049-4054页

作者： zhe Wen Jin-zhe Zhang Hui-Min Xia Chun-Xiao yang ya-Jun chen Department of Surgery Guangzhou Children's Hospital Affiliated to Guangzhou Medical CollegeGuangzhou 510120 Guangdong Province China Department of Surgery Beijing Children's Hospital Affiliated to Capital Medicai University Beijing 100045 China Department of Surgery Linzi People's Hospital Zibo 255400 Shandong Province China

AIM： To study the stability of portal hypertension （PHT） caused by partial ligation of the portal vein ligation （PVL） in a rat model.METHODS： Thirty male adult Wistar rats were divided into two groups： 10 in Group Ⅰ received a sham operation; and 20 in Group Ⅱreceived partial PVL. Portal vein pressure （PVP） was measured at four time periods： before ligation, 2 wk, 6 wk and 10 wk postsurgery. Portal venography, blood sampling and liver and spleen pathological examinations were conducted at 10 wk after surgery.RESULTS： The PVP was 9.15± 0.58 cmH2O before ligation, and increased to 17.32 ±0.63 cmH2O 2 wk after PVL. By repeat measurement of the PVP in each rat, it was shown to remain elevated for 10 wk. There were no significant differences in the pressure measurements at 2 wk, 6 wk and 10 wk. Varices were found mainly in the mesenteric vein 2 wk after PVL, which were more obvious later, while these manifestations were similar at week 6 and week 10. Portal venography demonstrated the varices and collaterals. There was no significant change in liver pathology. The volume of the spleen was enlarged 2-fold after ligation, and the sinus of the spleen was enlarged due to congestion. Significant sinus endothelial cell proliferation was observed, but no evidence of hypersplenia was found on hemogram and biochemical examination.CONCLUSION： These findings suggest that a satisfactory prehepatic PHT rat model can be obtained by partial ligation of the portal vein, and this PHT rat model was stable for at least 10 wk.

关键词： Ligation Portal hypertension Portal vein Rat

Formation of copper oxide nanowires and nanoparticles via electrospinning

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Science China(Technological Sciences) 2015年第4期58卷 612-616页

作者： CAI ya Nan WANG Wu chen zhe YU Jian Gang chen AQing ZHU Kai Gui Department of Physics Beihang University

Copper oxide nanowires and nanoparticles were fabricated through electrospinning followed by calcinations in different heating *** was found that the solution viscosity and environment humidity had great impact on the morphologies of precursor nanowires,and the parameters of heat treatment,including final temperature and heating rate,significantly affected the product morphologies.

关键词： electrospinning copper oxide nanowire copper oxide nanoparticle

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Acta Mathematica Sinica,English Series 2014年第10期30卷 1689-1697页

作者： zhe DONG ya Fei ZHAO Department of Mathematics Zhejiang University

In this note, we show that avon Neumann algebra M is injective if and only if the weak＊ similarity degree d.（M） ≤ 2.

关键词： Weak* similarity degree injective von Neumann algebra operator space

Stiff-stilbene derivatives as new bright fluorophores with aggregation-induced emission

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Science China Chemistry 2019年第9期62卷 1194-1197页

作者： ya-Hang Wu Kun Huang Shu-Feng chen Yu-zhe chen chen-Ho Tung Li-Zhu Wu Key Laboratory of Photochemical Conversion and Optoelectronic Materials Technical Institute of Physics and Chemistry Chinese Academy of Sciences Beijing 100190 China University of the Chinese Academy of Sciences Beijing 100049 China College of Chemistry and Chemical Engineering Inner Mongolia University Hohhot 010021 China

Stiff-stilbene derivatives have been widely explored as molecular rotors, molecular force probes and optical switches with excellent performance. However, their function as fluorophores is poorly understood. In the present work, we design three stiffstilbene derivatives and study their photophysical properties. These compounds exhibit very weak emission in solution but significantly enhanced monomer emission in viscous solvent, bright excimer emission in aggregates and at solid state. Detailed spectroscopic studies, single crystal structural analysis, powder X-ray diffraction(XRD) as well as effects of substituents have been carefully examined. They provide direct evidence that intermolecular interactions and molecular packing, which can restrict bond vibration and rotation, are responsible for the bright aggregation-induced emission.

关键词： stiff-stilbene derivatives intermolecular interactions molecular packing aggregation-induced emission

High-voltage LiCoO_(2) cathodes for high-energy-density lithiumion battery

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Rare Metals 2022年第12期41卷 3946-3956页

作者： Jing-Chao Zhang zhe-Dong Liu Cui-Hua Zeng Jia-Wei Luo Yi-Da Deng Xiao-ya Cui ya-Nan chen School of Materials Science and Engineering Tianjin UniversityTianjin 300072China Beijing Frontier Research Center for Biological Structures Tsinghua UniversityBeijing 100084China Ministry of Education Key Laboratory of Protein Sciences Beijing Advanced Innovation Center for Structural BiologySchool of Life SciencesTsinghua UniversityBeijing 100084China

As the earliest commercial cathode material for lithium-ion batteries,lithium cobalt oxide(LiCoO_(2)) shows various advantages,including high theoretical capacity,excellent rate capability,compressed electrode density,*** now,it still plays an important role in the lithium-ion battery *** to these advantages,further increasing the charging cutoff voltage of LiCoO_(2)to guarantee higher energy density is an irresistible development trend of LiCoO_(2)cathode materials in the ***,using high charging cutoff voltage may induce a lot of negative effects,especially the rapid decay of cycle *** are mainly caused by rapid destruction of crystal structure and aggravation of interface side reaction at high voltage during the ***,how to maintain a stable crystal structure of LiCoO_(2)to ensure the excellent long cycle performance at high voltage is a hot research issue in the further application of LiCoO_(2).In this review,we summarized the failure causes and extensive solutions of LiCoO_(2)at high voltage and promoted some new modification ***,the development trend of solving the failure problem of high-voltage LiCoO_(2)in the future such as defect engineering and high-temperature shock technique is also discussed.

关键词： Lithium-ion battery Lithium cobalt oxide(LiCoO_(2))cathode High voltage Cycle performance Crystal structure