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A Third Derivative Estimate for Monge-Ampere Equations with Conic Singularities(Dedicated to Haim Brezis on the occasion of his 70th birthday)

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Chinese Annals of Mathematics,Series B 2017年第2期38卷 687-694页

作者： Gang tian Beijing International Center for Mathematical Research Beijing UniversityBeijing 100871China Mathematics Department Princeton Universityfine hallwashington roadprinceton NJ 085441000usa.

The author applies the arguments in his PKU Master degree thesis in 1988 to derive a third derivative estimate, and consequently, a C^(2,α)-estimate, for complex MongeAmpere equations in the conic case. This C^(2,α)-estimate was used by Jeffres-MazzeoRubinstein in their proof of the existence of K¨ahler-Einstein metrics with conic singularities.

关键词： Complex, Monge-Ampere, Conic, C^α-estimate

Direct observation of spreading precursor liquids in a corner

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National Science Review 2023年第7期10卷 196-202页

作者： Weining Miao Shihao tian Quanzi Yuan Ye tian Lei Jiang Key Laboratory of Bioinspired Smart Interfacial Science Technical Institute of Physics and Chemistry Chinese Academy of Sciences School of Future Technology University of Chinese Academy of Sciences State Key Laboratory of Nonlinear Mechanics Institute of Mechanics Chinese Academy of Sciences School of Engineering Science University of Chinese Academy of Sciences

Precursor liquid is a nanoscale liquid creeping ahead of the macroscopic edge of spreading liquids,whose behaviors tightly correlate with the three-phase reaction efficiency and patterning ***,the important spatial-temporal characteristic of the precursor liquid still remains obscure because its real-time spreading process has not been directly ***,we report that the spreading ionic liquid precursors in a silicon corner can be directly captured on video using in situ scanning electron *** situ spreading videos show that the precursor liquid spreads linearly over time(ΔL～ΔT) rather than obeying the classic Lucas-Washburn law(l～t1/2) and possesses a characteristic width of ～250-310 *** analyses and molecular dynamics simulations demonstrate that the unique behaviors of precursor liquids originate from the competing effect of van der Waals force and surface *** findings provide avenues for directly observing liquid/solid interfacial phenomena on a microscopic level.

关键词： precursor liquid spreading spatial–temporal characteristic direct observation corner ionic liquids

Optimal linear estimators for systems with random measurement delays

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控制理论与应用（英文版） 2011年第1期9卷 76-82页

作者： Sun, Shuli tian, tian School of Electronic Engineering Heilongjiang University Harbin Heilongjiang 150080 China

This paper is concerned with the optimal linear estimation problem for linear discrete-time stochastic systems with random measurement delays. A new model that describes the random delays is constructed where possible the largest delay is bounded. Based on this new model, the optimal linear estimators including filter, predictor and smoother are developed via an innovation analysis approach. The estimators are recursively computed in terms of the solutions of a Riccati difference equation and a Lyapunov difference equation. The steady-state estimators are also investigated. A sufficient condition for the convergence of the optimal linear estimators is given. A simulation example shows the effectiveness of the proposed algorithms.

关键词： Optimal linear estimation Random measurement delays Innovation analysis approach Riccati difference equation Lyapunov difference equation

Warming magnitude of Indonesian Throughflow during the penultimate deglaciation (Termination Ⅱ) and its relationship with climate change in high-latitude regions

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Chinese Science Bulletin 2010年第32期55卷 3709-3717页

作者： tian CuiCui tian Jun State Key Laboratory of Marine Geology Tongji University Shanghai 200092 China

The tropical oceans are important source areas for global heat and water vapor transport,and changes in tropical sea surface temperature (SST) will have important impacts on high-latitude and global climate change. It is crucial to establish the precise phase relationship between tropical and high-latitude climate variability to gain insight into the mechanisms of global climate change. Here,we present multi-proxy records across the penultimate deglaciation (Termination Ⅱ) from sediment Core SO18459,which is located in the outflow area of the Indonesian Throughflow (ITF) of the Timor Sea. These proxy records include planktonic and benthic foraminifera δ 18O,planktonic foraminifera G. ruber Mg/Ca-derived SST,and δ18Ow of sea surface water. The Mg/Ca-SST records indicate a warming of 4.1°C in the Timor Sea over Termination Ⅱ,which is in phase with decrease in planktonic and benthic δ18O. Our results suggest that at millennial timescales,climate change of the tropical oceans is synchronous with high-latitude ice volume changes. Furthermore,warming of the Timor Sea is almost simultaneous with warming of the Antarctic,suggesting a rapid heat transfer from the tropics to the Antarctic via the atmosphere and/or ocean circulations. The G. ruber δ18O and SST records of Core SO18459 show a marked YD-like event during Termination Ⅱ,which is probably caused by decrease in Australian rainfall or strengthening of the Western Pacific Warm Pool. However,a similar YD-like event is not observed in East Asian rainfall records. This discrepancy indicates that different tropical climate systems may have different responses to the same forcing,such as El Nio Southern Oscillation. A similar YD-like event is observed in the global benthic foraminiferal δ18O records during Termination Ⅱ,implying teleconnection of millennial scale climate change between the tropical regions and high latitudes.

关键词：印度尼西亚贯穿流高纬度地区气候变暖冰消期倒数全球气候变化热带海洋底栖有孔虫

等离子体活化水耦合生物保鲜剂对牛肉的保鲜作用

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食品科学 2025年第2期46卷 20-29页

作者：柯志刚田玉玲刘书来周绪霞丁玉庭浙江工业大学食品科学与工程学院浙江杭州310014 浙江省全省深蓝渔业资源绿色低碳高效开发重点实验室浙江杭州310014 国家远洋水产品加工技术研发分中心(杭州) 浙江杭州310014

为延长生鲜牛肉货架期,本研究设计了一种等离子体活化水(plasma-activated water,PAW)耦合ε-聚赖氨酸盐酸盐(ε-polylysine hydrochloride,ε-PLH)、乳酸链球菌素(Nisin)的保鲜方法,并辅以六偏磷酸钠作为保水剂,探究此保鲜技术对生鲜... 详细信息

为延长生鲜牛肉货架期,本研究设计了一种等离子体活化水(plasma-activated water,PAW)耦合ε-聚赖氨酸盐酸盐(ε-polylysine hydrochloride,ε-PLH)、乳酸链球菌素(Nisin)的保鲜方法,并辅以六偏磷酸钠作为保水剂,探究此保鲜技术对生鲜牛肉的保鲜效果以及对贮藏期间品质变化的影响。结果表明,经PAW-ε-PLH-Nisin处理的牛肉经真空包装并于4℃条件下贮藏28 d后,其菌落总数为5.1(lg(CFU/g)),仍在可接受范围内;其总挥发性盐基氮值在贮藏21 d后为18.3 mg/100 g,保持在二级鲜度标准。对样品在贮藏期间的红度、质构、感官评分、硫代巴比妥酸反应物含量、脂肪酸组成、总巯基含量、羰基含量等的检测分析发现,PAW-ε-PLH-Nisin处理能显著提高牛肉红色,保持牛肉质构和感官评分的贮藏稳定性,延缓牛肉脂质和蛋白质氧化,并维持脂肪酸贮藏稳定性。以上研究表明,PAW-ε-PLH-Nisin在生鲜牛肉保鲜领域具有较高的应用潜力与开发价值。

关键词：生鲜牛肉等离子体活化水 ε-聚赖氨酸盐酸盐乳酸链球菌素保鲜

L^p Solutions of Backward Stochastic Volterra Integral Equations

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Acta Mathematica Sinica,English Series 2012年第9期28卷 1875-1882页

作者： tian Xiao WANG School of Mathematics Shandong University

This paper is devoted to the unique solvability of backward stochastic Volterra integral equations （BSVIEs, for short）, in terms of both M-solution and the adapted solutions. We prove the existence and uniqueness of M-solutions of BSVIEs in Lp （1 〈 p 〈 2）, which extends the existing results on M-solutions. The unique solvability of adapted solutions of BSVIEs in Lp （p 〉 1） is also considered, which also generalizes the results in the existing literature.

关键词： Backward stochastic Volterra integral equations M-solutions Lp solutions adapted solutions

Silicone Elastomer with High Elongation at Break Used in Digital Light Processing 3D Printing

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Chinese Journal of Polymer Science 2023年第11期41卷 1786-1795,I0010页

作者： tian-Xin Yu Ya-Yuan Liu Fu-Yue tian Nan-Ying Ning Bing Yu Ming tian State Key Laboratory of Organic-Inorganic Composites Beijing University of Chemical TechnologyBeijing 100029China Beijing Advanced Innovation Center for Soft Matter Science and Engineering Beijing University of Chemical TechnologyBeijing 100029China Key Laboratory of Carbon Fiber and Functional Polymers Ministry of EducationBeijing University of Chemical TechnologyBeijing 100029China

3D printing silicone elastomer has demonstrated great potential in diverse areas such as medical devices,flexible electronics and soft *** is of great value to investigate how to improve the mechanical properties,including tensile strength and elongation at break of printed *** this work,a light curing system that can be applied in silicone elastomer 3D printing is explored,which is composed of vinyl terminated polysiloxane as the macromer and thiol containing polysiloxane as the crosslinking agent,and a chain extension reaction is also introduced into this light curing system via the addition of the chain extender dithiol molecules,and a light curing system accompanied with chain extension is designed and realized based on the thiol-ene click reaction *** reinforced with silica fillers,the obtained light curing system can endow the light curing silicone elastomer with better mechanical properties under the condition of a lower viscosity of the precursor,the tensile strength and elongation at break can reach 525.5 k Pa and 601%,*** light curing system provides a feasible method to solve the contradiction between the viscosity of the precursor and the mechanical properties of the light curing elastomer in the digital light processing(DLP)3D printing field.

关键词： Silicone elastomer Thiol-ene click chemistry Light curing 3D-printing Chain extender

B-cell immune checkpoint TIM-1: a potential target for tumour immunotherapy

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Signal Transduction and Targeted Therapy 2023年第11期8卷 5149-5150页

作者： Xinyu tian Xiangyun Zheng Dong tian Department of Thoracic Surgery West China HospitalSichuan University37 Guoxue AlleyChengdu610041China Lung Transplant Research Laboratory Institute of Thoracic OncologyWest China HospitalSichuan University37 Guoxue AlleyChengdu610041China

Recently,Lloyd Bod et *** a study in Nature that identified the B-cell immune checkpoint T cell immunoglobulin and mucin domain 1(TIM-1)and mechanistically elucidated that targeting TIM-1 enhances the responses to type I interferon(IFN-I),promotes B cells antigen presentation and activation,subsequently enhances anti-tumour responses of CD4^(+) and CD8^(+)T cells and inhibits tumour *** study provides important implications for anti-tumour therapy.

关键词： tumour interferon

高静压联合天然抑制剂处理对浑浊苹果汁多酚氧化酶活性及相关品质的影响

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食品科学 2025年第2期46卷 1-7页

作者：田学智曹智鸿江乃相肖志剑唐征王永涛中国农业大学食品科学与营养工程学院国家果蔬加工工程技术研究中心农业农村部果蔬加工重点实验室食品非热加工北京市重点实验室北京100083 山东泰乐源农业科技有限公司山东泰安271411

探究高静压(high hydrostatic pressure,HHP)联合阿魏酸(ferulic acid,FA)、表没食子儿茶素没食子酸酯(epigallocatechin gallate,EGCG)处理对浑浊苹果汁中多酚氧化酶(polyphenol oxidase,PPO)活性及相关品质的影响。结果表明,添加0.1 g/100 mL的FA或者0.2 g/100 mL的EGCG均能显著降低样品中PPO活性,并显著提高其亮度(P<0.05)。单独HHP处理(550 MPa、5 min)样品的PPO相对残余活性高达82.70%,而经过HHP+FA或HHP+EGCG处理后,样品的PPO相对残余活性分别降至66.35%和41.50%。在冷藏2周期间,样品的PPO活性持续下降,而颜色参数保持稳定。贮藏第14天,HHP+FA组的褐变指数最小,仅有4.37,而HHP+EGCG组的PPO相对残余活性最低(24.71%)。此外,两组样品都保留了80%以上的总酚和90%以上的抗氧化能力。综上,HHP与FA/EGCG的联合处理可以有效抑制浑浊苹果汁的酶促褐变,具有进一步推广应用的潜力。

关键词：高静压天然抑制剂浑浊苹果汁多酚氧化酶品质