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一类随机偏微分方程组的均匀化问题
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作者 丁丽 李志远 《宁波大学学报(理工版)》 CAS 2024年第2期101-107,共7页
研究一类随机偏微分方程组的均匀化问题,■_(t)y_(ε)(t,x)=Δy_(ε)(t,x)/2+Vε(x)Ayε(t,x),其中(t,x)∈(0,T)×R^(d),d>2.这里的y_(ε)(t,x)=(u_(ε)(t,x),w_(ε)(t,x))^(T),V_(ε)(x)是含参数的高斯过程,当其相关函数满足特... 研究一类随机偏微分方程组的均匀化问题,■_(t)y_(ε)(t,x)=Δy_(ε)(t,x)/2+Vε(x)Ayε(t,x),其中(t,x)∈(0,T)×R^(d),d>2.这里的y_(ε)(t,x)=(u_(ε)(t,x),w_(ε)(t,x))^(T),V_(ε)(x)是含参数的高斯过程,当其相关函数满足特定的可积条件时,可以使用Duhamel(迭代)展开和Wick定理,给出以上方程的均匀化收敛性. 展开更多
关键词 Duhamel展开 WICK定理 均匀化理论 高斯过程
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Capillary Performance of Nanoporous Aluminum Braided Wicks Prepared by Anodic Oxidation
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作者 Fei Gao Longsheng Lu +4 位作者 Xiaokang Mei Yu-Xiang Yu Shitong Chai Yang Shen Yingxi Xie 《Nanomanufacturing and Metrology》 EI 2022年第4期370-380,共11页
With the rapid development of two-phase heat exchangers,the further improvement of the capillary performance of their internal wick faces a great challenge.As an important technology in the surface treatment of alumin... With the rapid development of two-phase heat exchangers,the further improvement of the capillary performance of their internal wick faces a great challenge.As an important technology in the surface treatment of aluminum alloys,anodic oxidation has been widely used to develop various functional nanostructures.In this study,nanopores with diameters of 30–40 nm were fabricated on the surface of aluminum fibers through anodic oxidation under an oxalic acid system.Results showed that anodizing increased the specific surface area of the aluminum braid by 163 times,and changed its surface wettability from hydrophobic to superhydrophilic.A significant reduction in the effective capillary radius can substantially increase the capillary force of aluminum braids on the basis of capillary theory.Therefore,the nanoporous aluminum braids can be used as a novel wick in the vapor chamber to improve its capillary performance.Capillary rate-of-rise tests with ethanol and acetone were performed to characterize the capillary of this novel wick structure.Infrared thermal imaging was utilized to monitor the capillary rise of aluminum braided wicks.The capillary force of the anodized wicks was greater than that of a normal wick,and the maximum capillary rise height was 81 mm.The nanoporous aluminum braided wicks prepared by anodizing could be applied in heat transfer. 展开更多
关键词 Nanoporous structures Capillary performance Aluminum braided wicks Anodic oxidation Heat and mass transfer
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Development of sintered Ni-Cu wicks for loop heat pipes 被引量:11
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作者 XIN GongMing CUI KeHang +1 位作者 ZOU Yong CHENG Lin 《Science China(Technological Sciences)》 SCIE EI CAS 2009年第6期1607-1612,共6页
The present study fabricated a series of capillary wicks for loop heat pipes(LHPs),using two different methods,the cold-pressing sintering and direct loose sintering,and experimentally investigated the effect of diffe... The present study fabricated a series of capillary wicks for loop heat pipes(LHPs),using two different methods,the cold-pressing sintering and direct loose sintering,and experimentally investigated the effect of different methods,compositions and sintering parameters on their properties in terms of porosity,permeability and pore radius.Porosity and pore radius were measured by the Archimedes method and Scanning Electron Microscope(SEM),respectively.Permeability of the wicks was compared by calculation using empirical equation.Results show that capillary wicks were successfully fabricated by using two different methods;the optimal capillary wick was found to be sintered at 650℃ for 30min,using direct loose sintering technique,with 90% nickel and 10% copper.The wicks could reach the porosity of 70.07% and the permeability of 10-13m2 order,with mean pore radius of 0.54μm. 展开更多
关键词 loop heat pipe CAPILLARY WICK SINTERING POROSITY permeability PORE radiusxx
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Comparison between oxide-reduced and water-atomized copper powders used in making sintered wicks of heat pipe 被引量:6
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作者 Liu-Ho Chiu Chang-Hui Wu Pee-Yew Lee 《China Particuology》 SCIE EI CAS CSCD 2007年第3期220-224,共5页
Oxide-reduced copper powder can be produced efficiently at low cost. The volume shrinkage, porosity, maximum pore size, permeability and thermal conductivity of wicks sintered from two oxide-reduced (OR) powders wer... Oxide-reduced copper powder can be produced efficiently at low cost. The volume shrinkage, porosity, maximum pore size, permeability and thermal conductivity of wicks sintered from two oxide-reduced (OR) powders were compared with one from water-atomized (WA) powder. The green specimens were sintered at temperatures from 800 to 1000 ℃ in a tube furnace under a reduction stream of 10% hydrogen and 90% argon. The results show that the property variations of OR - 100 and WA wicks due to porosity changes have a similar tendency and range. Nine hundred degree celsius is a recommended sintering temperature for producing ideal wicks for use in heat pipes. A smaller maximum pore size can be obtained by increasing the green density.2007 Chinese Society of Particuology and Institute of Process Engineering, Chinese Academy of Sciences. Published by Elsevier B.V. 展开更多
关键词 Sintered wick Copper powder Porous property Oxide-reduced powder
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Biomimetic Capillary Inspired Heat Pipe Wicks 被引量:3
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作者 Qian Wang Jiaju Hong Yuying Yan 《Journal of Bionic Engineering》 SCIE EI CSCD 2014年第3期469-480,共12页
The possibility of mimicking desirable properties from nature accelerates material improvement and generates commercial interests. For heat pipe development, many attempts have been made in heat pipe wicks to enhance ... The possibility of mimicking desirable properties from nature accelerates material improvement and generates commercial interests. For heat pipe development, many attempts have been made in heat pipe wicks to enhance its capillary performance by mimicking biology. Constructing biporous, composite, or nanopillar wicks with aim of achieving hierarchical structure has been found in many studies. Mimicking beetle shell surface to obtain hybrid wettability shows biomimetic potential in heat pipe wicks. This paper firstly reviews some fundamental studies in biomimetics, establishing a general idea of surface wetting and capillary effect. MR/scanning of two live plants (Musa X Paradisiaca and Salix Flamingo) provides the possibility of visualising internal structures in vivo and obtaining rates of water transport in xylem vessels. In addition, by investigating the work inspired directly or indirectly from biomimetics, the role that biomimetics plays in modern heat pipe technology is revealed. Our innovation which syntheses a low level of hierarchical structure and integrates integral wicks for different heat pipe sections including evaporator, adiabatic, and condenser is introduced. Mathematical modelling in terms of capillary pressure and capillary rise rate to characterise such new structure is provided. 展开更多
关键词 biomimetics heat pipe surface wetting capillary effect wick structure
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Bioinspired All‑Fibrous Directional Moisture‑Wicking Electronic Skins for Biomechanical Energy Harvesting and All‑Range Health Sensing 被引量:1
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作者 Chuanwei Zhi Shuo Shi +5 位作者 Shuai Zhang Yifan Si Jieqiong Yang Shuo Meng Bin Fei Jinlian Hu 《Nano-Micro Letters》 SCIE EI CAS CSCD 2023年第4期277-293,共17页
Electronic skins can monitor minute physiological signal variations in the human skins and represent the body’s state,showing an emerging trend for alternative medical diagnostics and human-machine interfaces.In this... Electronic skins can monitor minute physiological signal variations in the human skins and represent the body’s state,showing an emerging trend for alternative medical diagnostics and human-machine interfaces.In this study,we designed a bioinspired directional moisture-wicking electronic skin(DMWES)based on the construction of heterogeneous fibrous membranes and the conductive MXene/CNTs electrospraying layer.Unidirectional moisture transfer was successfully realized by surface energy gradient and push-pull effect via the design of distinct hydrophobic-hydrophilic difference,which can spontaneously absorb sweat from the skin.The DMWES membrane showed excellent comprehensive pressure sensing performance,high sensitivity(maximum sensitivity of 548.09 kPa^(−1)),wide linear range,rapid response and recovery time.In addition,the single-electrode triboelectric nanogenerator based on the DMWES can deliver a high areal power density of 21.6μW m^(−2) and good cycling stability in high pressure energy harvesting.Moreover,the superior pressure sensing and triboelectric performance enabled the DMWES for all-range healthcare sensing,including accurate pulse monitoring,voice recognition,and gait recognition.This work will help to boost the development of the next-generation breathable electronic skins in the applications of AI,human-machine interaction,and soft robots. 展开更多
关键词 BIOINSPIRED Electrospinning Electronic skin Directional moisture wicking MXene
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Alternate Reality of the Lady of Shalott
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作者 Tanzim Aziz 《Journal of Literature and Art Studies》 2023年第11期837-841,共5页
The Lady of Shalott is considered to be one of Alfred Lord Tennyson’s masterpieces.The poem conversely demonstrates art and life,the aesthetic and the political,are fully interwoven:the involvement in the social worl... The Lady of Shalott is considered to be one of Alfred Lord Tennyson’s masterpieces.The poem conversely demonstrates art and life,the aesthetic and the political,are fully interwoven:the involvement in the social world which is symbolically the destination of the Lady in the poem.The Lady who is the emblem of such an artwork can be ascribed qualities,for instance,self-containment,objectified otherness,removal from the fluidity of life,and participation in a higher order of existence,for which it is autonomy.Kermode points out that“the Romantic artwork often identifies itself with an emblematic image of autonomy and femininity”,inextricably interlinked.Her mirror shows her only“Shadows of the world”.The Lady’s web flies“Out”and floats“wide”when she“turns round”with“that desire of making an impression upon another mind”,when she seeks to address Lancelot.The mirror reconnects the Lady’s art to the real world beyond her window.Though the artist is unable to see it during the process of production,her artistic web,once out in a wider space than the tower and freed from the loom,is a true representation of outward things,the actions,and events of Camelot.This paper examines that the traditional referentiality of Tennyson’s‘The Lady of Shalott’can be better understood by supplementing the poet’s medieval sources,of little more than tangential relevance to the poem,with Homeric influences.The poem is similar to a fairytale,however,I have given an alternate reality of the Lady of Shallot in my version of a fairytale,where the characters remain the same but the fairytale takes a happy ending rather than a tragic death.My version is different from Tennyson’s since I believe the lady deserves to be jovial.Sir Lancelot was unaware of her fascination and feelings for him,as she could hardly express her feelings due to her imprisonment.She is so taken by him that she stops her work and looks at Camelot,though she risks the mysterious curse.The mirror breaks and her web magically floats out of the window on its own.She realizes that she is cursed. 展开更多
关键词 MEDIEVAL young maiden imprisoned Island of Shalott Sir Lancelot Camelot mirror web mysterious curse wicked witch alternate reality
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双分式布朗运动下股本权证的定价 被引量:38
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作者 肖炜麟 张卫国 徐维东 《系统工程学报》 CSCD 北大核心 2013年第3期348-354,共7页
为了体现金融资产的长期记忆性,采用几何双分式布朗运动刻画股本权证标的资产价格变化的行为模式.基于Wick积分推导出股本权证价值所满足的偏微分方程,并通过终值条件和变量代换得到该偏微分方程的解:股本权证的定价公式.进一步研究了... 为了体现金融资产的长期记忆性,采用几何双分式布朗运动刻画股本权证标的资产价格变化的行为模式.基于Wick积分推导出股本权证价值所满足的偏微分方程,并通过终值条件和变量代换得到该偏微分方程的解:股本权证的定价公式.进一步研究了长记忆参数对定价模型的影响以及定价模型的参数估计问题.最后,采用市场数据进行实证研究,不同模型的定价结果说明了金融资产具有长期记忆性. 展开更多
关键词 双分式布朗运动 长期记忆性 Wick积分 股本权证
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B-值广义泛函意义下的Wick型随机微分方程 被引量:5
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作者 陈金淑 海射香 马双红 《兰州理工大学学报》 CAS 北大核心 2008年第2期160-163,共4页
将B-值白噪声广义泛函应用到随机微分方程中,建立B-值广义泛函意义下的Wick型随机微分方程,获得方程解的存在、唯一性定理,证明解的连续性及解对初值的连续依赖性.
关键词 白噪声分析 Banach空间值广义泛函 Wick积
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广义算子意义下的量子随机微分方程(英文) 被引量:3
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作者 王才士 黄志远 王湘君 《数学进展》 CSCD 北大核心 2003年第1期53-62,共10页
本文研究广义算子及其Wick积意义下的量子随机微分方程。主要结果为:建立了解 的存在唯一性定理;证明了解的连续性及解对初值的连续依赖性.本文给出了两个例子.
关键词 量子随机微分方程 白噪声 广义算子 Wick积
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由纯跳Lévy白噪声驱动的随机薛定谔方程 被引量:2
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作者 冯敬海 王岩 冯恩民 《大连理工大学学报》 EI CAS CSCD 北大核心 2008年第5期769-774,共6页
给出了由纯跳Lévy白噪声驱动的随机薛定谔方程的白噪声解法.方程的位势由纯跳Lévy白噪声过程的Wick幂来表示,在实际应用中代表随机因素是跳跃的物理系统.此方法将(S)-1分布空间的特征定理作为理论基础,利用Hermite变换将随机... 给出了由纯跳Lévy白噪声驱动的随机薛定谔方程的白噪声解法.方程的位势由纯跳Lévy白噪声过程的Wick幂来表示,在实际应用中代表随机因素是跳跃的物理系统.此方法将(S)-1分布空间的特征定理作为理论基础,利用Hermite变换将随机薛定谔方程转化为非随机的普通方程,在Feynmann-Kac公式的帮助下,得到这个非随机方程的解,最后使用Hermite反变换将此解转换为分布空间的一个(S)-1过程,这个过程即为原随机薛定谔方程的解.进一步可以得到:经过一定条件的限制,这个解在弱分布的意义下,属于L1(υ)空间. 展开更多
关键词 纯跳Levy自噪声 Wick乘积 HERMITE变换 随机薛定谔方程
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复合白噪声驱动的输运方程 被引量:2
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作者 冯敬海 王岩 冯恩民 《应用概率统计》 CSCD 北大核心 2009年第6期597-610,共14页
本文在现有Gauss白噪声理论体系及L′evy纯跳白噪声理论体系的基础上,讨论了复合L′evy白噪声分析的框架,并将Wick乘积、Hermite变换等概念推广到复合L′evy白噪声空间,同时给出了与复合L′evy白噪声空间对应的Hida分布空间的特征定理.... 本文在现有Gauss白噪声理论体系及L′evy纯跳白噪声理论体系的基础上,讨论了复合L′evy白噪声分析的框架,并将Wick乘积、Hermite变换等概念推广到复合L′evy白噪声空间,同时给出了与复合L′evy白噪声空间对应的Hida分布空间的特征定理.最后,在本文的理论框架下,详细讨论了由复合L′evy白噪声驱动的随机输运方程在Hida分布空间中的解及其结构. 展开更多
关键词 复合白噪声 Wick乘积 HERMITE变换 随机输运方程
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一类Wick型随机偏微分方程的白噪声泛函解 被引量:4
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作者 吴娇 韩卫卫 《内蒙古师范大学学报(自然科学汉文版)》 CAS 北大核心 2016年第2期159-165,共7页
利用指数函数法给出了复系数方程V_(xx)+a(t)V_(tt)+b(t)sin(t)=0的精确解,并在Kondratiev分布空间(S)-1-上,利用随机分析和白噪声分析,给出Wick型随机复合方程Vxx+a(t)V_(tt)+b(t)sin(t)=0的白噪声泛函解.
关键词 白噪声分析 Wick型随机复合方程 HERMITE变换 指数函数法
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量子随机微分方程的适应解 被引量:2
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作者 唐玉玲 郭金生 《兰州理工大学学报》 CAS 北大核心 2013年第4期166-168,共3页
在两参数白噪声分析框架中,构造一类以R为指标集的广义算子Wick代数流,讨论该Wick流的基本性质,并引入广义算子意义下的量子随机过程关于该Wick流的适应性概念,探讨一类量子随机微分方程关于该Wick流的适应解.
关键词 白噪声 广义算子 wick流 量子随机Cable方程 适应解
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Wick型随机非线性Schrdinger方程的白噪声泛函解(英文) 被引量:7
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作者 陈彬 《应用数学》 CSCD 北大核心 2010年第2期292-298,共7页
本文对变系数非线性Schrdinger方程通过白噪声扰动得到的Wick型随机非线性Schrdinger方程进行了研究,利用Hermite变换和Painlevé展开方法给出了该方程的白燥声泛函解.
关键词 Wick型随机非线性Schrdinger方程 白噪声泛函解 Hermiter变换 Painlevé展开
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Wick型随机广义Burgers-Fisher方程的精确解(英文) 被引量:1
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作者 孙信秀 卢亦平 刘海洋 《徐州师范大学学报(自然科学版)》 CAS 2009年第2期50-54,共5页
利用白噪声泛函分析理论、Hermite变换和广义tanh函数法,分别得到了Wick型随机广义Burgers-Fisher方程的白噪声函数解和变系数广义Burgers-Fisher方程的精确解.
关键词 Wick型随机广义Burgers-Fisher方程 广义tanh函数法 HERMITE变换
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B-值广义泛函意义下Cable方程的白噪声分析法 被引量:4
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作者 郭精军 王才士 《甘肃科学学报》 2008年第1期8-12,共5页
讨论了B-值广义泛函意义下的量子随机Cable方程,给出了解的唯一性定理.
关键词 白噪声 Cable方程 Wick积
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Wick型随机WBK浅水波方程的白噪声泛函解 被引量:2
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作者 陈彬 《工程数学学报》 CSCD 北大核心 2008年第1期173-176,共4页
WBK浅水波方程是数学物理中的重要方程之一,对其研究有重要意义。经典方法都是在确定状态下研究波方程的性质和精确求解。随机分析和白噪声理论的建立和发展为波方程的研究提供了新的内容、方法和工具,因此,研究随机状态下波方程就成为... WBK浅水波方程是数学物理中的重要方程之一,对其研究有重要意义。经典方法都是在确定状态下研究波方程的性质和精确求解。随机分析和白噪声理论的建立和发展为波方程的研究提供了新的内容、方法和工具,因此,研究随机状态下波方程就成为可能。本文就是研究随机状态下WBK浅水波方程的精确求解问题:在Kondratiev分布空间(S)-1中,利用Hermite变换和齐次平衡法研究Wick-型随机WBK浅水波方程的精确求解,给出其白噪声泛函解,并给出了该方程在系数F(t)取不同白噪声泛函时的几个例子。 展开更多
关键词 Wick型随机WBK方程 HERMITE变换 齐次平衡法 白噪声泛函解
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一类Wick型随机混合KdV方程的精确解 被引量:1
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作者 舒级 曾群香 《四川师范大学学报(自然科学版)》 CAS 北大核心 2016年第6期821-824,共4页
首先运用Hermite变换将Wick型随机KdV方程转换为确定性KdV方程,然后利用截断展开法得到方程的白噪声泛函解.
关键词 白噪声泛函解 Wick型随机混合KdV方程 截断展开法 HERMITE变换
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Wick型随机Burgers方程的自Bcklund变换和精确解(英文) 被引量:1
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作者 陈彬 《Journal of Southeast University(English Edition)》 EI CAS 2005年第4期513-516,共4页
研究了随机环境中的Burgers方程.为了给出随机Burgers方程的精确解,只讨论变系数Burgers方程的系数经白噪声W(t)=B·(t)扰动所得的Wick型随机Burgers方程(B(t)是Brown运动),利用齐次平衡原理和Hermite变换给出了Wick型随机Burgers... 研究了随机环境中的Burgers方程.为了给出随机Burgers方程的精确解,只讨论变系数Burgers方程的系数经白噪声W(t)=B·(t)扰动所得的Wick型随机Burgers方程(B(t)是Brown运动),利用齐次平衡原理和Hermite变换给出了Wick型随机Burgers方程的自Bcklund变换和随机孤立子解的精确表达式,同时也研究了一般情形的Wick型随机Burgers方程. 展开更多
关键词 Wick型随机Burgers方程 自Baecklund变换 随机孤立子解 白噪声 HERMITE变换 齐次平衡原理
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