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Some Applications of Besov Spaces on Fractals

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Acta Mathematica Sinica,English Series 2005年第5期21卷 1209-1218页

作者： Da chun yang Department of Mathematics Beijing Normal University Beijing 100875 P. R. China

Let F be a compact d-set in R^n with 0 〈 d ≤ n, which includes various kinds of fractals. The author establishes an embedding theorem for the Besov spaces Bpq^s（F） of Triebel and the Sobolev spaces W^1,P（F,d,μ） of Hajtasz when s 〉 1, 1 〈 p 〈∞ and 0 〈 q ≤ ∞. The author also gives some applications of the estimates of the entropy numbers in the estimates of the eigenvalues of some fractal pseudodifferential operators in the spaces Bpq^0（F） and Fpq^0（F）.

关键词： Besov spaces Fractals Sobolev spaces Pseudodifferential operators Elliptic operators,Eigenvalues

Recent developments in thermal characteristics of surface dielectric barrier discharge plasma actuators driven by sinusoidal high-voltage power

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Chinese Journal of Aeronautics 2023年第1期36卷 1-21页

作者： Xin ZHANG Yugang ZHAO chun yang State Key Laboratory of Aerodynamics China Aerodynamics Research and Development CenterMianyang 621000China School of Energy and Power Engineering University of Shanghai for Science and TechnologyShanghai 200093China School of Mechanical and Aerospace Engineering Nanyang Technological UniversitySingapore 639798Singapore

Flow control using surface Dielectric Barrier Discharge(DBD)plasma actuators driven by a sinusoidal alternating-current power supply has gained significant attention from the aeronautic *** induced flow field of the plasma actuator,with the starting vortex in the wall jet,plays an important role in flow ***,the energy consumed for producing the induced flow field is only a small fraction of the total energy utilized by the plasma actuator,and most of the total energy is used in gas heating and dielectric ***,an in-depth analysis of the thermal characteristics of the plasma actuator is the key to develop its potential capability *** addition,compared with the investigation on the aerodynamic characteristics of the plasma actuator,there is a relative lack of detail in the study of its thermal *** the thermal characteristics of the plasma actuator is of great interest for providing a deeper insight into the underlying working principles,advancing its numerical simulation model,prolonging its life,and achieving several potential engineering applications,such as antiicing and *** present paper reviews the thermal characteristics of the plasma actuator,summarizes the influence of the dielectric film and actuation parameters on heating,and discusses the formation and transfer mechanism of the induced heating based on the discharge regimes of the plasma actuator in one cycle.

关键词： Dielectric barrier discharge Flow control Heat transfer Plasma actuator Thermal characteristics

Advances in single-particle detection for DNA sensing

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Science China Chemistry 2017年第10期60卷 1285-1292页

作者： Fei Ma Ming Ren chun-yang Zhang College of Chemistry Chemical Engineering and Materials Science Collaborative Innovation Center of Functionalized Probes for Chemical Imaging in Universities of ShandongKey Laboratory of Molecular and Nano Probes Ministry of Education Shandong Provincial Key Laboratory of Clean Production of Fine Chemicals Shandong Normal University Jinan 250014 China

Rapid, accurate and sensitive detection of particular DNA sequence is critical in fundamental biomedical research and clinical diagnostics. However, conventional approaches for DNA assay often suffer from cumbersome procedures, long analysis time and insufficient sensitivity. Recently, single-particle detection technology has emerged as a powerful tool in the biosensing area due to its significant advantages of ultrahigh sensitivity, low sample-consumption and rapid analysis time. Especially, the introduction of novel nanomaterials has greatly promoted the development of single-particle detection and its applications for DNA sensing. In this review, we summarize the recent advance in single-particle detection strategies for DNA sensing, and focus mainly on metallic nanoparticle-and semiconductor quantum dot-based single-particle detection. We highlight the emerging trends in this field as well.

关键词： single-particle detection DNA assay quantum dots metallic nanoparticles fluorescence resonance energy transfer

基于卫生技术评估的环泊酚用于麻醉镇静的附加价值评价

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医药导报 2025年第1期44卷 103-108页

作者：杨春马正敏嵇富海朱吉祥苏州大学附属第一医院麻醉科苏州215000 徐州医科大学盐城临床学院、盐城市第一人民医院麻醉科盐城224000

目的通过对环泊酚的附加价值评价,为丙泊酚和环泊酚的临床选择、患者个体化麻醉镇静方案提供参考依据。方法采用《基于卫生技术评估的药品附加价值评价指南》分别对丙泊酚与环泊酚的相对安全性、相对有效性、创新性/适宜性、经济性进行... 详细信息

目的通过对环泊酚的附加价值评价,为丙泊酚和环泊酚的临床选择、患者个体化麻醉镇静方案提供参考依据。方法采用《基于卫生技术评估的药品附加价值评价指南》分别对丙泊酚与环泊酚的相对安全性、相对有效性、创新性/适宜性、经济性进行比较评分。结果相较于丙泊酚的价值,环泊酚总得分为57分,价值体现为少量增加。二者镇静效果基本类似,但丙泊酚更具经济成本优势,而环泊酚在注射痛、低血压等不良反应方面优于丙泊酚。结论麻醉镇静中应综合考虑患者健康状态、经济情况等合理选择使用丙泊酚和环泊酚。

关键词：环泊酚丙泊酚卫生技术评估麻醉镇静药品附加价值

Elementary characterizations of generalized weighted Morrey-Campanato spaces

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Applied Mathematics(A Journal of Chinese Universities) 2010年第2期25卷 162-176页

作者： yang Da-chun yang Si-bei School of Mathematical Sciences Beijing Normal University Laboratory of Mathematics and Complex Systems Ministry of Education Beijing 100875 China

Let α∈（0,∞ ）, p, q ∈[1, ∞）, s be a nonnegative integer, and ω∈ A1（Rn）（tne class of Muckenhoupt＇s weights）. In this paper, we introduce the generalized weighted Morrey- Campanato space L（α, p, q, s, ω; Rn） and obtain its equivalence on different p∈ [1, β） and 1 integers s ≥[nα] （the integer part of nα）, whereβ = （1/q - α）-1 when α 〈 1/qorβ= ∞ when α ≥1/q We then introduce the generalized weighted Lipschitz space A（α, q, w; Rn） and prove that L（a, p, q, s, w; Rn）С ∧（α, q, w; Rn） when α ∈ （0, ∞）, s ≥[nα], and p∈ [1,β）.

关键词： Morrey-Campanato space Lipschitz space weight.

Wave Propagation in Submerged Pipe Conveying Fluid

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Acta Mechanica Solida Sinica 2019年第4期32卷 483-498页

作者： Qing-tian Deng Zhi-chun yang School of Sciences Changan University Middle-Section of Naner Huan RoadX i’an 710064 Shaanxi People’s Republic of China Department of Mechanical Engineering University of CincinnatiCincinnatiOH 45221-0072USA School of Aeronautics Northwestern Polytechnical University127 Youyi XiluXi’an 710072ShaanxiPeople's Republic of China

A problem of wave propagation in submerged pipe conveying fluid is discussed in this paper. Three different fluid-pipe models are considered: the pipe conveying non-viscous fluid immersed in still fluid, the pipe conveying non-viscous fluid considering hydrostatic pressure and the pipe conveying viscous fluid considering hydrostatic pressure. The Fliiggle shell model and the hydrostatic pressure considered as the static prestress are introduced for the description of pipe and external/internal fluids. The effects of steady viscous forces are obtained by using the time-mean Navier-Stokes equations, and the perturbation pressures can be determined by means of potential flow theory. The wave dispersion curves of a submerged pipe conveying fluid are obtained numerically by considering the coupling conditions. The effects of internal fluid velocity and hydrostatic pressure on phase velocity are also discussed.

关键词： Wave propagation Submerged pipe Hydrostatic pressure Shell theory Conveying fluid Viscous fluid

Rapid Synthesis of Size-controlled Gold Nanoparticles by Complex Intramolecular Photoreduction

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Chemical Research in Chinese Universities 2007年第5期23卷 500-504页

作者： DONG Shou-an yang Sheng-chun TANG chun Kunming Institute of Precious Metals Kunming 650221 P. R. China

A rapid synthesis of size-controlled gold nanoparticles was *** method is based on the sensitive intramolecular photoreduction reaction of Fe（Ⅲ）-EDTA complex in chloroacetic acid-sodium acetate buffer solution,where Fe（Ⅱ）-EDTA complex generated by photo-promotion acts as a reductant of AuCl-4 *** nanoparticles formed were stabilized by EDTA ligand or other protective agents *** a result,well-dispersed gold nanoparticles with an average diameter range of 6.7 to 50.9 nm were *** to the characterizations by the UV spectrum and TEM,the intramolecular charge transfer of the excited states of complex Fe（Ⅲ）-EDTA and the mechanism of forming gold nanoparticles were discussed in detail.

关键词： Gold nanoparticle Synthesis Intramolecular photoreduction Fe ( Ⅲ ) -EDTA complex

ECC-Based RFID Authentication Protocol

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Journal of Electronic Science and Technology 2020年第4期18卷 320-329页

作者： Xing-chun yang chun-Xiang Xu Chao-Rong Li Department of Computer Science and Technology Sichuan Police CollegeLuzhou 646000 School of Computer Science and Engineering University of Electronic Science and Technology of ChinaChengdu 611731 Department of Computer Science and Information Engineering Yibin UniversityYibin 644000

The radio frequency identification(RFID)technology has been widely used so far in industrial and commercial *** develop the RFID tags that support elliptic curve cryptography(ECC),we propose a scalable and mutual authentication protocol based on *** also suggest a tag privacy model that provides adversaries exhibiting strong abilities to attack a tag’s *** prove that the proposed protocol preserves privacy under the privacy model and that it meets general security *** with other recent ECCbased RFID authentication protocols,our protocol provides tag privacy and performs the best under comprehensive evaluation of tag privacy,tag computation cost,and communications cost.

关键词： Elliptic curve cryptography radio frequency identification(RFID) authentication protocol privacy

Function spaces of Besov-type and Triebel-Lizorkin-type——a survey

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Applied Mathematics(A Journal of Chinese Universities) 2013年第4期28卷 405-426页

作者： yang Da-chun YUAN Wen School of Mathematical Sciences Beijing Normal University Laboratory of Mathematics and Complex Systems Ministry of Education Institut fr Analysis Karlsruhe Institute of TechnologyD-76128 Karlsruhe Germany

This article is devoted to presenting a recapitulative introduction for the theory of Besov-type and Triebel-Lizorkin-type spaces developed in recent years.

关键词： Besov space Triebel-Lizorkin space embedding atom molecule wavelet local mean Peetre maximal function dual complex interpolation