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Sharp Criterion of Global Existence for Nonlinear Schrodinger Equation with a Harmonic Potential

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Acta Mathematica Sinica,English Series 2009年第4期25卷 537-544页

作者： ji shu jian ZHANG Sichuan Provincial Key Laboratory of Computer Software Sichuan Normal University Chengdu 610066 P. R. China College of Mathematics and Software Science Sichuan Normal University Chengdu 610066 P. R. China

This paper discusses nonlinear SchrSdinger equation with a harmonic potential. By constructing a different cross-constrained variational problem and the so-called invariant sets, we derive a new threshold for blow-up ... 详细信息

关键词： cross-constrained variational problem nonlinear Schodinger equation global existence,blow-up harmonic potential

Fractal Dimension of Random Attractors for Non-autonomous Fractional Stochastic Ginzburg–Landau Equations

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Acta Mathematica Sinica,English Series 2020年第3期36卷 318-336页

作者： Chun Xiao GUO ji shu Xiao Hu WANG Department of Mathematics China University of Mining and Technology BeijingBeijing 100083P.R.China School of Mathematical Science and V.C.&V.R.Key Lab Sichuan Normal UniversityChengdu 610068P.R.China Department of Mathematics Sichuan UniversityChengdu 610064P.R.China

This paper considers the dynamical behavior of solutions for non-autonomous stochastic fractional Ginzburg–Landau equations driven by additive noise with α∈(0, 1). First, we give some conditions for bounding the fractal dimension of a random invariant set of non-autonomous random dynamical system. Second, we derive uniform estimates of solutions and establish the existence and uniqueness of tempered pullback random attractors for the equation in H. At last, we prove the finiteness of fractal dimension of random attractors.

关键词： Non-autonomous stochastic fractional Ginzburg–Landau equation random dynamical system random attractor additive noise fractal dimension

Dynamical behaviors of non-autonomous fractional FitzHugh-Nagumo system driven by additive noise in unbounded domains

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Frontiers of Mathematics in China 2021年第1期16卷 59-93页

作者： Chunxiao GUO Yiju CHEN ji shu Xinguang YANG Department of Mathematics China University of Mining and TechnologyBeijing 100083China Department of Mathematics Sichuan UniversityChengdu 610065China School of Mathematical Science Laurent Mathematics Center and V.C.&:V.R.Key LabSichuan Normal UniversityChengdu 610066China Department of Mathematics and Information Science Henan Normal UniversityXinxiang 453007China

The regularity of random attractors is considered for the non-autonomous fractional stochastic FitzHugh-Nagumo system.We prove that the system has a pullback random attractor that is compact in Hs(R^(n))×L^(2)(R^(n))and attracts all tempered random sets of L^(2)(R^(n))×L^(2)(R^(n))in the topology of Hs(R^(n))×L^(2)(R^(n))with s∈(0,1).By the idea of positive and negative truncations,spectral decomposition in bounded domains,and tail estimates,we achieved the desired results.

关键词： Fractional stochastic FitzHugh-Nagumo system random attractor asymptotic compactness

Wong-Zakai approximations and long term behavior of stochastic FitzHugh-Nagumo system

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International Journal of Biomathematics 2021年第3期14卷 23-52页

作者： Ling Qin Dandan Ma ji shu School of Mathematics Science Laurent Mathematics Center and V.C.&V.R.Key Lab Sichuan Normal University Chengdu 610066P.R.China

This paper is concerned with the Wong-Zakai approximations given by a stationary process via the Wiener shift and their associated long term behavior of stochastic FitzHugh-Nagumo system driven by white noise.We prove the existence and uniqueness of pullback random attractors for the approximate system under much weaker conditions than the original system.When the system is driven by additive white noise,we also prove the convergence of solutions of Wong-Zakai approximations and the upper semicontinuity of random attractors of the approximate random system as the size of approximation approaches zero.

关键词： Wong-Zakai approximation random attractor FitzHugh-Nagumo system upper semicontinuity white noise

Effects of anaerobic composting on tetracycline degradation in swine manure

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Chinese Journal of Chemical Engineering 2017年第10期25卷 1505-1511页

作者： Yixuan Chu Chengran Fang Hua Wang Xinkai Wu Yijie Gu ji shu School of Civil Engineering and Architecture Zhejiang University of Science and Technology Hangzhou 310023 China Key Laboratory of Urban Stormwater System and Water Environment Ministry of Education Beijing University of Civil Engineering and Architecture Beijing 100044 China

Oxytetracycline(OTC) and tetracycline(TC) are the most common TC antibiotics used in human and veterinary medicine.Residual amounts of these antibiotics in manure pose a potential threat to public and ecological health as a result of the potential for them to be released to the environment following land application of manure from animals treated with antibiotics.We investigated the degradation of OTC and TC during anaerobic composting.We tested the effects of temperature and antibiotic concentration on degradation rates in a control and in manure spiked with TCs.We examined changes in p H,biological degradation material(BDM),and moisture corresponding with antibiotic degradation of TCs in the swine manure.Results showed that the OTC and TC concentrations decreased by between 68.54% and 95.50% in all nine treatments following 14 days of anaerobic composting,and the highest removal ef ficiencies were observed at an incubation temperature of 55°C and initial concentrations of 10.36 μg·g^(-1),and 5.96 μg·g^(-1) of OTC and TC,respectively,which were degraded by 95.50%,and 90.06%.During composting at 55 °C and at added concentrations of 5 μg·g^(-1),OTC decreased rapidly,and the time required for50% and 90% degradation was 4.1 and 9.8 days,respectively;for TC,these values were 4.4 and 14.0 days,respectively.Removal ef ficiencies for all TCs correlated well with moisture content of the manure.These results show that composting may be a practical and useful means to reduce concentrations of OTC and TC in swine manure prior to its land application.

关键词：厌氧堆肥降解过程四环素猪粪抗生素治疗初始浓度生物降解材料 OTC

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VPSA装置解吸气压缩机入口过滤器改造

聚酯工业 2024年第3期37卷 47-50页

作者：简书基中国石油化工股份有限公司洛阳分公司河南洛阳471012

由于PSA装置解吸气压缩机入口篮式管道过滤器存在过滤效果差,机组故障率高等问题,因此文章将其改为旋风管分离器和过滤分离器组合过滤设施。改造后可以有效过滤解吸气中的粉尘和水汽,延长了机组运行周期,降低了生产成本。

关键词：过滤器旋风管分离器过滤分离器压缩机解吸气

脱氧核酶催化放大效应在微RNA传感中的研究与应用

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中国生物化学与分子生物学报 2024年第7期40卷 889-896页

作者：王树急曹汝菲段晓雷遵义医科大学附属医院医学检验科贵州遵义563000 遵义医科大学基础医学院生物化学与分子生物学教研室贵州遵义563000

微RNA(microRNAs,miRNAs)是一种与肿瘤等多种疾病的发生发展密切相关的短序列非编码RNA,其具有丰度低、序列同源性高和易降解等特点,因此,miRNAs的高灵敏、高特异检测面临巨大挑战。具有RNA切割活性的脱氧核酶是新兴的一类功能性单链DN... 详细信息

微RNA(microRNAs,miRNAs)是一种与肿瘤等多种疾病的发生发展密切相关的短序列非编码RNA,其具有丰度低、序列同源性高和易降解等特点,因此,miRNAs的高灵敏、高特异检测面临巨大挑战。具有RNA切割活性的脱氧核酶是新兴的一类功能性单链DNA分子,此类酶能在金属离子的辅助下对核酸底物特异性切割,释放miRNA进行循环再利用,实现信号放大。目前,基于脱氧核酶催化放大检测miRNA的新方法研究是近年来科研人员的重点关注方向之一。本文根据脱氧核酶结合不同的生物传感新技术和新材料,对近年来发展出的基于脱氧核酶催化放大检测miRNAs的新方法进行分类与回顾,归纳为脱氧核酶DNA自组装、脱氧核酶偶联等温扩增以及脱氧核酶结合新型纳米材料的3类方向,并逐一阐述各个方向的基本原理及其在生物传感领域、医学检测方向的最新研究进展与应用实例,旨在为进一步的精准灵敏检测miRNAs新策略研究提供参考。

关键词：微RNA 脱氧核酶 DNA纳米自组装等温扩增纳米材料

600 MW燃用褐煤墙式切圆锅炉运行中存在的问题分析及优化措施

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热能动力工程 2024年第4期39卷 162-170页

作者：束继伟于博帅金宏达王欣国网黑龙江省电力有限公司电力科学研究院黑龙江哈尔滨150030 哈尔滨工业大学能源科学与工程学院黑龙江哈尔滨150001

对某台采用四墙布置燃烧器切圆燃烧的600 MW超临界锅炉进行了优化调整试验和数值模拟,对锅炉存在的水冷壁严重结焦、超温爆管、炉膛出口速度及烟温偏差问题的原因进行了研究。结果表明:锅炉炉膛出口左、右侧存在速度与烟温偏差,燃尽风... 详细信息

对某台采用四墙布置燃烧器切圆燃烧的600 MW超临界锅炉进行了优化调整试验和数值模拟,对锅炉存在的水冷壁严重结焦、超温爆管、炉膛出口速度及烟温偏差问题的原因进行了研究。结果表明:锅炉炉膛出口左、右侧存在速度与烟温偏差,燃尽风的投切对炉膛出口气流速度分布影响很大;提高一次风率对提高制粉系统出力有利,但过高的一次风率(40%以上)是导致锅炉发生水冷壁结焦和局部超温爆管的主要原因;一次风率控制在设计值36%左右,锅炉的运行状态明显改善。

关键词：墙式切圆一次风率褐煤燃烧性能结焦数值模拟

新冠病毒轻型感染对献血者血液学指标及捐献单采血小板适宜性的影响

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中国实验血液学杂志 2024年第3期32卷 883-889页

作者：黄淑铭林小枚江伟梅纪淑华林授林洪铿陈岑褚晓凌福建省血液中心福建福州350004

目的:通过对新冠病毒Omicron变异株轻型感染献血者血液学指标的变化分析,探讨新冠病毒轻型感染对成人血液学指标的影响,进而评估其对捐献单采血小板适宜性的影响。方法:以2022年12月-2023年1月期间出现新冠病毒轻型感染症状、连续捐献... 详细信息

目的:通过对新冠病毒Omicron变异株轻型感染献血者血液学指标的变化分析,探讨新冠病毒轻型感染对成人血液学指标的影响,进而评估其对捐献单采血小板适宜性的影响。方法:以2022年12月-2023年1月期间出现新冠病毒轻型感染症状、连续捐献单采血小板3次的72例献血者(其中阳性组42例,疑似感染组30例)和2022年10月-11月期间未接种新冠疫苗、未感染新冠病毒、连续捐献3次单采血小板的42例献血者(对照组)为研究对象,通过重复测量方差分析法回顾性比较阳性组和疑似感染组出现症状前(Time1)后(Time2和Time3)及对照组连续3次(Time1、Time2、Time3)的血常规变化,并采用贝叶斯判别法建立近期是否感染新冠病毒的判别方程式。结果:阳性组和疑似感染组组内测量次数的简单效应显著(F_(阳性组)=6.98,P0.05)。建立“近期是否感染新冠病毒”的判别方程式,方程特征值是0.22,典型相关性为0.43(χ^(2)=27.81,P<0.001),分析正确率为72.9%。结论:新冠病毒轻型感染献血者血液学指标中RBC、HCT、HGB、PLT、PCT、RDW-CV和RDW-SD呈动态变化,近期是否感染新冠病毒的判别方程式有较高的准确率。

关键词：新型冠状病毒2(SARS-CoV-2) 新型冠状病毒感染(COVID-19) 血常规单采血小板 SARS-CoV-2 IgG抗体