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Harnack inequality and derivative formula for SDE driven by fractional Brownian motion

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Science China Mathematics 2013年第3期56卷 515-524页

作者： fan xiliang School of Mathematical Sciences Beijing Normal University Department of Mathematics Anhui Normal University

In the paper, Harnack inequality and derivative formula are established for stochastic differential equation driven by fractional Brownian motion with Hurst parameter H < 1/2. As applications, strong Feller property, ... 详细信息

关键词： Harnack inequality stochastic differential equation fractional Brownian motion

Experimental study of CO_(2) storage in water-flooded oilfields

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Petroleum Research 2017年第4期2卷 378-382页

作者： Zubo Zhang Xu Chen Yuchen Qian Qingjie Liu Weifeng Lv Manli Luo xiliang fan State Key Laboratory of Enhanced Oil Recovery PetroChina Research Institute of Petroleum Exploration and DevelopmentBeijing 100083China Department of Polymer Science and Engineering School of Chemistry and Chemical EngineeringNanjing UniversityNanjing 210023China China University of Petroleum Beijing 102249China

CO_(2) is the main source of greenhouse emission,and the environment problem caused by greenhouse effect has drawn worldwide *** most oilfields in China,a method of waterflooding is usually used to enhance oil recovery,which is favorable to carry out CO_(2) injection *** CO_(2) injection in the water-flooded oilfields can not only store CO_(2),but also enhance the oil *** this article,the coreflooding tests with refined oil were conducted to investigate CO_(2) displacement characteristic in watersaturated formation under different injection rate and water-flooded oil reservoir under different formation pressure and oil saturation,then the CO_(2) storage capacity was *** testing result shows that the displacement efficiency increases with the rise of the CO_(2) injection rate,and the CO_(2) injection can enhance the oil recovery about 15%OOIP under the experimental *** injecting CO_(2) after the waterflooding,the CO_(2) storage capacity increases as the rise of the formation *** core-flooding tests also indicate that when the initial oil saturation of reservoir prior CO_(2) injection is higher,the oil recovery will be higher when injecting the same pore volume(PV)of CO_(2),and the CO_(2) storage capacity will be larger.

关键词： reservoir saturation refined

Reversible solid-liquid conversion enabled by self-capture effect for stable non-flow zinc-bromine batteries

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Green Energy & Environment 2024年第6期9卷 1035-1044页

作者： Xixi Zhang Xiaoke Wang Guangmeng Qu Tairan Wang xiliang Zhao Jun fan Cuiping Han Xijin Xu Chunyi Zhi Hongfei Li School of Physics and Technology University of JinanShandong250022China Songshan Lake Materials Laboratory DongguanGuangdong523808China Department of Materials Science and Engineering City University of Hong Kong83 Tat Chee AvenueHong KongChina Faculty of Materials Science and Engineering and Low Dimensional Energy Materials Research Center Shenzhen Institute of Advanced TechnologyChinese Academy of SciencesShenzhenGuangdong518055China School of System Design and Intelligent Manufacturing Southern University of Science and TechnologyShenzhenGuangdong518055China

Non-flow aqueous zinc-bromine batteries without auxiliary components(e.g.,pumps,pipes,storage tanks)and ion-selective membranes represent a cost-effective and promising technology for large-scale energy ***,they generally suffer from serious diffusion and shuttle of polybromide(Br^(-),Br^(3-))due to the weak physical adsorption between soluble polybromide and host carbon materials,which results in low energy efficiency and poor cycling ***,we develop a novel self-capture organic bromine material(1,10-bis[3-(trimethylammonio)propyl]-4,4'-bipyridinium bromine,NVBr4)to successfully realize reversible solid complexation of bromide components for stable non-flow zinc-bromine battery *** quaternary ammonium groups(NV^(4+)ions)can effectively capture the soluble polybromide species based on strong chemical interaction and realize reversible solid complexation confined within the porous electrodes,which transforms the conventional“liquid-liquid”conversion of soluble bromide components into“liquid-solid”model and effectively suppresses the shuttle ***,the developed non-flow zinc-bromide battery provides an outstanding voltage platform at 1.7 V with a notable specific capacity of 325 mAh g^(-1)NVBr4(1 A g^(-1)),excellent rate capability(200 mAh g^(-1)NVBr4 at 20 A g^(-1)),outstanding energy density of 469.6 Wh kg^(-1)and super-stable cycle life(20,000 cycles with 100%Coulombic efficiency),which outperforms most of reported zinc-halogen *** mechanism analysis and DFT calculations demonstrate that the chemical interaction of quaternary ammonium groups and bromide species is the main reason for suppressing the shuttle *** developed strategy can be extended to other halogen batteries to obtain stable charge storage.

关键词： Solid-liquid conversion Self-capture Non-ﬂow zinc-bromine batteries Quaternary ammonium

由Lévy过程驱动的倒向双重随机微分方程的比较定理及其应用

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应用数学学报 2009年第4期32卷 705-716页

作者：范锡良安徽师范大学数学系芜湖241000

本文研究了由Lévy过程和与之独立的布朗运动驱动的倒向双重随机微分方程,给出了相应的比较定理。作为比较定理的一个应用,文章证明了由Lévy过程驱动的倒向双重随机微分方程在其系数满足连续线性增长条件下解的存在性,并得到该方程的... 详细信息

本文研究了由Lévy过程和与之独立的布朗运动驱动的倒向双重随机微分方程,给出了相应的比较定理。作为比较定理的一个应用,文章证明了由Lévy过程驱动的倒向双重随机微分方程在其系数满足连续线性增长条件下解的存在性,并得到该方程的最小解。

关键词：倒向双重随机微分方程 Lévy过程 Teugels鞅比较定理

由Levy过程驱动的双边反射型倒向随机微分方程的一般结果

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数学年刊（A辑） 2012年第4期33卷 497-516页

作者：范锡良北京师范大学数学科学学院北京100875

研究了由Levy过程驱动的双边反射型倒向随机微分方程,获得了该类方程全局解存在唯一的一些充分条件.主要的工具是局部解和链接法.作为应用,给出了比较定理.

关键词：反射型倒向随机微分方程 Teugels鞅 Snell包络局部解比较定理

由Lévy过程驱动的双重反射型倒向随机微分方程(英文)

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应用数学 2010年第3期23卷 474-481页

作者：范锡良任永安徽师范大学数学系安徽芜湖241000

证明了由Lévy过程驱动的双重反射型倒向随机微分方程解的存在唯一性.主要方法是Snell包络和不动点定理.

关键词：反射型倒向随机微分方程 Teugels鞅 Lévy过程 Snell包络 Mokobodski假设

带跳的倒向双重随机微分方程Strum-Liouville解的存在唯一性和比较定理

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应用数学学报 2015年第2期38卷 273-284页

作者：范锡良徐静安徽师范大学统计系芜湖241002

本文证明了非线性噪声是Ito-Kunita随机积分的带跳倒向双重随机微分方程在某种弱Lipschitz条件下解的存在唯一性;并且获得了这类带跳的倒向双重随机微分方程的比较定理.

关键词：带跳的倒向双重随机微分方程 Ito-Kunita随机积分比较定理

Leveraging the One Health concept for arsenic sustainability

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Eco-Environment & Health 2024年第3期3卷 392-405页

作者： Yujie Huang Qi Miao Raymond WMKwong Dapeng Zhang Yuchuan fan Ming Zhou xiliang Yan Jianbo Jia Bing Yan Chengjun Li Institute of Environmental Research at Greater Bay Area Guangzhou UniversityGuangzhou 510006China Department of Biology York UniversityTorontoON M3J 1P3Canada Department of Soil Waterand Ecosystem SciencesUniversity of Florida-IFASGainesvilleFL 32603USA Centre for Catalysis and Clean Energy Gold Coast CampusGriffith UniversityQLD 4222Australia College of Animal Science South China Agricultural UniversityGuangzhou 510642China

Arsenic(As)is a naturally occurring chemical element widely distributed in the Earth's *** activities have significantly altered As presence in the environment,posing significant threats to the biota as well as human *** environmental fates and adverse outcomes of As of various species have been extensively studied in the past few *** is imperative to summarize these advances as a whole to provide more profound insights into the As cycle for sustainable *** the One Health concept,we systematically reviewed previous studies in this work and explored the following three fundamental questions,i.e.,what the trends and associated changes are in As contamination,how living organisms interact and cope with As contamination,and most importantly what to do to achieve a sustainable future with *** focusing on one critical question in each section,this review aims to provide a full picture of the complexity of environmental *** tackle the significant research challenges and gaps in As pollution and mitigation,we further proposed a One Health framework with potential coping strategies,guiding a coordinated agenda on dealing with legacy As in the environment and ensuring a sustainable As future.

关键词： Arsenic Framework Sustainability Environmental health One Health

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让国学经典在小学语文教学中渗透

天津教育 2021年第34期 101-102页

作者：樊希亮甘肃省张掖市民乐县南古学区柳谷小学

国学经典是小学语文教学的重点,不仅可以帮助学生坚实语文基础知识,提升学生的语文核心素养,同时在国学经典引导作用下,可以充分发展学生道德修养,将传统文化净化加以发展和传扬。本文将通过利用因材施教的方式,加大小学语文教学中经典... 详细信息

国学经典是小学语文教学的重点,不仅可以帮助学生坚实语文基础知识,提升学生的语文核心素养,同时在国学经典引导作用下,可以充分发展学生道德修养,将传统文化净化加以发展和传扬。本文将通过利用因材施教的方式,加大小学语文教学中经典渗透力度,通过朗读训练,深化学生对国学经典的理解等四方面措施,对国学经典在小学语文教学中的渗透措施进行分析。

关键词：国学经典小学语文渗透