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The Hilbert expansion of the Boltzmann equation in the incompressible Euler level in a channel

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Science China Mathematics 2025年第1期68卷 39-88页

作者： Feimin Huang Weiqiang Wang yong Wang feng Xiao Academy of Mathematics and Systems Science Chinese Academy of Sciences School of Mathematical Sciences University of Chinese Academy of Sciences Key Laboratory of Computing and Stochastic Mathematics (Ministry of Education) School of Mathematics and StatisticsHunan Normal University

The study of the hydrodynamic limit of the Boltzmann equation with physical boundary is a challenging problem due to the appearance of the viscous and Knudsen boundary *** this paper,the hydrodynamic limit from the Boltzmann equation with the specular reflection boundary condition to the incompressible Euler equations in a channel is *** on the multi-scaled Hilbert expansion,the equations with boundary conditions and compatibility conditions for interior solutions,and viscous and Knudsen boundary layers are derived under different scaling,***,some uniform estimates for the interior solutions,and viscous and Knudsen boundary layers are *** the help of the L2-L∞framework and the uniform estimates obtained above,the solutions to the Boltzmann equation are constructed by the truncated Hilbert expansion with multiscales,and hence the hydrodynamic limit in the incompressible Euler level is justified.

关键词： Boltzmann equation incompressible Euler equations hydrodynamic limit Hilbert expansion specular reflection boundary condition viscous boundary layer Knudsen boundary layer

Recent progress on photoactive nonprecious transition-metal complexes

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Science China Chemistry 2025年第1期68卷 46-95页

作者： zhong-Liang Gong Hong-Jie Zhang Yan Cheng Jianxun Liu Yuhan Ai Yaqin Li Zhihui feng Qiong Zhang Shaolong Gong yong Chen Chang-Jiang Yao Yuan-Yuan Zhu Liang-Jin Xu Yu-Wu zhong CAS Key Laboratory of Photochemistry Institute of Chemistry Chinese Academy of Sciences State Key Laboratory of Structural Cemistry Fujian Institute of Research on the Structure of Matter Chinese Academy of Sciences School of Chemistry and Chemical Engineering Anhui Key Laboratory of Advanced Catalytic Materials and Reaction EngineeringHefei University of Technology State Key Laboratory of Explosion Science and Safety Protection School of Mechatronical Engineering Beijing Institute of Technology College of Chemistry and Molecular Sciences Hubei Key Lab on Organic and Polymeric Optoelectronic Materials Wuhan University School of Chemistry and Chemical Engineering Anhui University Key Laboratory of Photochemical Conversion and Optoelectronic Materials & CAS-HKU Joint Laboratory on New Materials Technical Institute of Physics and Chemistry Chinese Academy of Sciences

Photoactive complexes of nonprecious transition metals, mainly including those in the first-row and partially the second-row of the Periodic table of elements, have received increasing attention in view of their low cost and long-term sustainability. They are recognized as promising alternatives to noble transition metal complex congeners that have been extensively studied in optoelectronic devices, artificial photosynthesis, photocatalysis, biodiagnostics, and therapeutics, etc. This review is devoted to a comprehensive summary on the classical and recent advances on photoactive nonprecious transition metal complexes, including photoactive Zr, V, Cr, Mo, and W complexes, Mn complexes and hybrids, Fe, Co, Ni, and Cu complexes, and Zn and Cd complexes and hybrids. A particular focus is given on the molecular design, modulation of photophysical and photochemical properties, and applications of the representative and lately-developed nonprecious metal complexes. In addition, a perspective on the future development in this field is provided at the end of this review.

关键词： photoactive metal complexes earth-abundant metals nonprecious metal complexes luminescence photochemistry

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基于多密钥同态技术的安全多方计算协议

华南理工大学学报（自然科学版） 2017年第7期45卷 69-76页

作者：王会勇冯勇赵岭忠唐士杰中国科学院大学成都计算机应用研究所四川成都610041 桂林电子科技大学数学与计算科学学院广西桂林541004 中国科学院重庆绿色智能技术研究院自动推理与认知重庆市重点实验室重庆400714 桂林电子科技大学广西可信软件重点实验室广西桂林541004

为构造具有良好性能的多密钥安全多方计算(SMC)协议,对Gentry-Sahai-Waters(GSW13)全同态加密(FHE)方案的密钥同态性质进行了研究.在此基础上提出了一个基于GSW13方案的层次型多密钥SMC协议,该协议构造方式简单,只需要3轮通信,且在半诚... 详细信息

为构造具有良好性能的多密钥安全多方计算(SMC)协议,对Gentry-Sahai-Waters(GSW13)全同态加密(FHE)方案的密钥同态性质进行了研究.在此基础上提出了一个基于GSW13方案的层次型多密钥SMC协议,该协议构造方式简单,只需要3轮通信,且在半诚实与半恶意环境和公共随机串模型下,其安全性可以归结到容错学习问题(LWE)和它的一个变种问题;分析了该变种问题的困难性,并给出了半恶意模型下该协议的形式化安全证明.该协议自然构成一个相同环境下的层次型多密钥全同态加密方案.对比分析表明,文中协议在整体性能上优于已有方案.

关键词：安全多方计算多密钥全同态加密密钥同态门限解密 GSW13

Metal-organic frameworks with dinuclear metal centers for synergistically boosting CO2 photoreduction

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Science China Chemistry 2025年第1期68卷 201-208页

作者： Hui-feng Wang Wen-Jie Shi Yu-Xin Yang Bao-Xia Dong Tong-Bu Lu Di-Chang zhong School of Chemistry and Chemical Engineering Yangzhou University Institute for New Energy Materials and Low Carbon Technologies School of Materials Science and Engineering Tianjin University of Technology

Dinuclear metal synergistic catalysis （DMSC） has been proved powerful in boosting CO2reduction,while this has not been achieved in heterogeneous catalysts with long-range order *** this study,we,by introduction of metal catalytic centers into an indium-based metal-organic framework （MOF）,obtained a series of isostructural In-MOFs,including three MOFs with mononuclear metal catalytic center （M-In）,three MOFs with dinuclear homometallic catalytic centers （MM-In）,and three MOFs with dinuclear heterometallic catalytic centers (MM’-In,M/M’=Co（II）,Ni（II）,Zn（II）).It was found that all these MOFs can serve as catalysts for photochemical CO2reduction to *** with M-In,the catalytic activities of MM-In were obviously enhanced,and that of MM’-In was further significantly *** example,the CO yield of Co Zn-In reaches a record value of 12,700μmol g-1h-1,which is 4.0,8.1,9.4,and 18.6-fold higher than that of Co Co-In,Zn Zn-In,Co-In,and Zn-In,***,the catalytic activities of Co Ni-In and Ni Zn-In also show different fold increase than those of corresponding dinuclear homometallic and mononuclear metallic *** results of control experiments and theoretical calculation reveal that the higher catalytic activities of MM-In over M-In can be ascribed to the DMSC effect,and the higher catalytic activity of MM’-In over MM-In can be ascribed to the strengthened DMSC *** work reveals the relationship between DMSC effect and bimetal centers in CO2reduction,which provides new insights into the DMSC and paves a new way to design highly active catalysts for photochemical CO2reduction.

关键词： metal-organic frameworks dinuclear metal centers synergistic catalysis CO2 reduction photocatalysis

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陕西省农业非点源污染现状与区域特征研究

西北农林科技大学学报（自然科学版） 2010年第11期38卷 75-83页

作者：陈勇冯永忠杨改河西北农林科技大学农学院陕西杨凌712100 陕西省循环农业工程技术研究中心陕西杨凌712100

【目的】分析陕西省农业非点源污染现状和区域差异,为农业非点源污染防控提供科学依据。【方法】采用陕西省2000-2008年及各地区2008年的畜牧业生产情况、作物产量、生产资料(化肥和农膜)投入、农村人口等统计数据,对陕西省及各地区的... 详细信息

【目的】分析陕西省农业非点源污染现状和区域差异,为农业非点源污染防控提供科学依据。【方法】采用陕西省2000-2008年及各地区2008年的畜牧业生产情况、作物产量、生产资料(化肥和农膜)投入、农村人口等统计数据,对陕西省及各地区的农业非点源污染情况进行估算,并利用SPSS软件进行聚类分析。【结果】(1)从2000年开始,陕西省营养污染物排放量和等标污染负荷均呈快速上升趋势,并于2006年达到最高值,分别为251.15万t和1538.7473亿m3,之后呈下降趋势,2008年分别降为197.02万t和1197.4060亿m3。农村生活垃圾和作物秸秆耕地负荷从2000年缓慢增长后,分别于2005和2006年达最大值,之后呈下降趋势,2008年分别为3054.20和6175.11kg/hm2。农膜和化肥投入的耕地负荷则一直保持增加的趋势,2008年分别达到9.69和582.43kg/hm2。(2)陕西省11个地区农业非点源污染可以分为4类地区:第Ⅰ类地区包括杨凌1个地区,除农膜污染外,营养污染、化肥污染、作物秸秆污染和农村生活垃圾排放均很严重,属于重度污染区;第Ⅱ类地区包括西安1个地区,属于化肥施用过量型的中度污染区;第Ⅲ类地区包括宝鸡、咸阳、铜川、渭南、汉中、安康和商洛7个地区,均属于中度污染区,各指标排放量呈现中等排放水平;第Ⅳ类地区包括延安和榆林2个地区,属于轻度污染区。【结论】陕西省农业非点源污染地域差异明显,陕北的延安和榆林农业非点源污染总体较轻;而关中各地区农业和畜牧业发达,农业非点源污染排放总量较大;耕地面积较少的地区,农业非点源污染的耕地负荷较为严重。

关键词：陕西省农业非点源污染区域特征

农业非点源污染源的环境库兹涅茨曲线实证研究——基于陕西省农业投入和废弃物排放的研究

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干旱地区农业研究 2010年第3期28卷 191-198页

作者：陈勇冯永忠杨改河西北农林科技大学农学院陕西杨凌712100 陕西省循环农业工程技术研究中心陕西杨凌712100

选取了1992~2008年陕西省总化肥投入密度、N肥投入密度、P肥投入密度、K肥投入密度、复合肥投入密度、农膜投入密度、农药投入密度、禽畜粪尿负荷和农作物秸秆负荷9个污染指标的时序数据,并建立环境库兹涅茨曲线模型,分别验证这9个指标... 详细信息

选取了1992~2008年陕西省总化肥投入密度、N肥投入密度、P肥投入密度、K肥投入密度、复合肥投入密度、农膜投入密度、农药投入密度、禽畜粪尿负荷和农作物秸秆负荷9个污染指标的时序数据,并建立环境库兹涅茨曲线模型,分别验证这9个指标与全省经济增长的环境库兹涅茨曲线关系,并利用EVIEWS 5.0对参数进行估计。其中禽畜粪尿的排放通过排污系数法测算,农作物秸秆产量通过农作物经济系数测算。结果表明,化肥总量投入密度、氮肥投入密度、磷肥投入密度、钾肥投入密度、复合肥投入密度和禽畜粪尿负荷与全省人均GDP成倒＂U＂形EKC曲线关系,而农膜投入密度、农药投入密度和农作物秸秆负荷与全省人均GDP呈现线性增长的关系。结论：陕西省化肥投入和禽畜粪尿排放随着经济发展有减小的趋势;而农膜投入、农药投入和作物秸秆排放随着经济增长有进一步增加的趋势,政府应该采取有效措施提前预防农业非点源污染的发生。

关键词：环境库兹涅茨曲线实证研究农业投入固体废弃物

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农业非点源污染研究进展

西北农林科技大学学报（自然科学版） 2010年第8期38卷 173-181页

作者：陈勇冯永忠杨改河西北农林科技大学农学院陕西杨凌712100 陕西省循环农业工程技术研究中心陕西杨凌712100

针对点源污染虽已得到有效治理,但农业非点源污染已成为全球突出的环境问题的现状,在分析国内外农业非点源污染的严峻形势的基础上,着重从当前农业非点源污染研究中的农业非点源污染定量模型研究、农业非点源污染的农户经营行为研究、... 详细信息

针对点源污染虽已得到有效治理,但农业非点源污染已成为全球突出的环境问题的现状,在分析国内外农业非点源污染的严峻形势的基础上,着重从当前农业非点源污染研究中的农业非点源污染定量模型研究、农业非点源污染的农户经营行为研究、农业非点源污染的环境经济学研究和农业非点源污染的控制与管理战略研究4个方面进行了阐述,并指出当前我国控制农业非点源污染所面临的困境,最后对未来我国农业非点源污染的研究发展前景进行了展望。

关键词：农业非点源污染研究动态非点源污染定量模型污染控制

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江河源区水文生态系统构成要素特征分析

西北农林科技大学学报（自然科学版） 2007年第3期35卷 159-164页

作者：冯永忠杨改河白登忠西北农林科技大学农学院中国林业科学研究院研究生院北京100091

河流、湖泊和冰川是江河源区水文生态系统的主要构成要素,研究该区水文生态系统构成要素的特征,对系统研究江河源区生态环境质量演变意义重大。研究在实地调查和系统分析前人已有科研成果的基础上,系统分析了该区水文生态系统构成要素... 详细信息

河流、湖泊和冰川是江河源区水文生态系统的主要构成要素,研究该区水文生态系统构成要素的特征,对系统研究江河源区生态环境质量演变意义重大。研究在实地调查和系统分析前人已有科研成果的基础上,系统分析了该区水文生态系统构成要素的特点。结果表明,江河源区主要河流有184条,其中流域面积5 000-10 000 km2的有12条,其水文生态系统构成特点是,黄河源区的一级支流河流长度较短,流域面积较小,入河口海拔高度较高,河道比降大,电力资源丰富;长江源区一级支流流域面积大,河流长,年径流量大,河道比降小;澜沧江源区流域面积较黄河源区和长江源区小,但其单位面积上的产水量较丰富,产水量达到25 484 m3/km2。江河源区有湖泊250个,且以淡水、微咸水湖为主。其中黄河源区面积在0.5 km2以上的湖泊89个,湖水面积1 479 km2;长江源区共有湖泊160个,但面积只有802.7 km2,其中面积在1.0 km2以上的湖泊84个;澜沧江源区只有1个湖泊,面积仅有1.0 km2,以淡水湖为主。江河源区冰川资源量达2 000亿m3,其中黄河源区有冰川68条,阿尼玛卿山分布有58条;长江源区以当曲流域的冰川覆盖面积最大,沱沱河流域次之,楚玛尔河流域最小,冰川总面积1 168.18km2,冰川储量98.3026 km3,年消融量约9.89亿m3;澜沧江源区冰川在数量上和流域面积上都较小,只有20条,面积为124.12 km2。

关键词：江河源区水文生态系统生态环境质量

Depression mechanism of sulfite ions on sphalerite and Pb^(2+)activated sphalerite in the flotation separation of galena from sphalerite

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International Journal of Minerals,Metallurgy and Materials 2025年第2期32卷 335-345页

作者： feng Zhang Chenyang Zhang Linlin Wu Wei Sun Hongliang Zhang Jianhua Chen yong Pei Songjiang Li Engineering Research Center of Ministry of Education for Carbon Emission Reduction in Metal Resource Exploitation and Utilization Hunan International Joint Research Center for Efficient and Clean Utilization of Critical Metal Mineral ResourcesSchool of Minerals Processing and BioengineeringCentral South UniversityChangsha 410083China State Key Laboratory of Mineral Processing Beijing General Research Institute of Mining&MetallurgyBeijing 100160China Hunan Provincial Key Laboratory of Micro&Nano Materials Interfaces Science College of Chemistry and Chemical EngineeringCentral South UniversityChangsha 410083China School of Resources Environment and MaterialsGuangxi UniversityNanning 530004China Department of Chemistry Xiangtan UniversityXiangtan 411105China China Railway Resource Group Co.Ltd Beijing 102300China

The depression mechanism of sulfite ions on sphalerite and Pb^(2+)activated sphalerite in the flotation separation of galena from sphalerite still lacked in-depth ***,the depression mechanism of sulfite ions on sphalerite and Pb^(2+)activated sphalerite in the flotation separation of galena from sphalerite was further systematically investigated with experiments and density functional theory(DFT)*** X-ray photoelectric spectroscopy(XPS)results,DFT calculation results,and frontier molecular orbital analysis indicated that sulfite ions were difficult to be adsorbed on sphalerite surface,suggesting that sulfite ions achieved depression effects on sphalerite through other non-adsorption ***,the oxygen content in the surface of sphalerite treated with sulfite ions in creased,which enhanced the hydrophilicity of the sphalerite and further increased the difference in hydrophilicity between sphalerite and ***,sulfite ions were chelated with lead ions to form PbSO_(3)in *** hydrophilic PbSO_(3)was more easily adsorbed on sphalerite than *** interaction between sulfite ions and lead ions could effectively inhibit the activation of *** addition the UV spectrum showed that after adding sulfite ions,the peak of perxanthate in the sphalerite treated xanthate solution was significantly stronger than that in the galena with xanthate solution,indicating that xanthate interacted more readily with sulfite ions and oxygen mo lecules within the sphalerite system,leading to the formation of ***,sulfite ions hardly depressed the flotation of ga lena and could promote the flotation of galena to some *** study deepened the understanding of the depression mechanism o sulfite ions on sphalerite and Pb^(2+)activated sphalerite.

关键词： sphalerite galena sulfite ion density functional theory depression mechanism