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Multiplicity of Solutions for Quasilinear Elliptic Systems with Singularity

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Acta Mathematicae Applicatae Sinica 2015年第1期31卷 277-286页

作者： Juan LI yu-xia TONG Department of Mathematics Ningbo University College of Science Heibei United University

In this paper, we study the existence of multiple solutions for the following quasilinear ellipticsystem：-△pu-μ1︳u︳p-1u/︳x︳=α1up（t）-2/︳x︳t＋β1︳v︳β2︳u︳β1-2u,x∈Ω,-△qu-μ2︳v︳q-2v/︳x︳q=α2 vq（s）-2/︳x︳sv＋β2︳u︳β1︳v︳β2-2v,x∈Ω u（x）=v（x）=0 x∈Ω Multiplicity of solutions for the quasilinear problem is obtained via variational method.

关键词： quasilinear elliptic system singularity critical growth

Dense copper azide synthesized by in-situ reaction of assembled nanoporous copper microspheres and its initiation performance

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Defence Technology（防务技术） 2022年第6期18卷 1065-1072页

作者： Xing-yu Wu Ming-yu Li Qing-xuan Zeng Qing-xia yu State Key Laboratory of Explosion and Technology Beijing Institute of TechnologyBeijing100081PR China

Copper azide with high density was successfully synthesized by in-situ reaction of nanoporous copper(NPC)precursor with HN_(3) *** with pore size of about 529 nm has been prepared by electroless plating using polystyrene(PS)as *** copper shells thickness of NPC was controlled by adjusting the PS loading *** effects of copper shell on the morphology,structure and density of copper azide were *** conversion increased from 87.12%to 95.31%when copper shell thickness decrease from 100 to 50 ***,the density of copper azide prepared by 529 nm NPC for 24 h was up to 2.38 g/cm^(3).The hollow structure of this NPC was filled by swelling of copper azide which guaranteed enough filling volume for keeping the same shape as well as improving the charge ***,HNS-IV explosive was successfully initiated by copper azide with minimum charge thickness of 0.55 mm,showing that copper azide prepared has excellent initiation performance,which has more advantages in the application of miniaturized explosive systems.

关键词： Nanoporous copper Electroless plating In-situ reaction Copper azide

Nitrogen-,phosphorus-doped carbon-carbon nanotube CoP dodecahedra by controlling zinc content for high-performance electrocatalytic oxygen evolution

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Rare Metals 2020年第6期39卷 680-687页

作者： xia-xia Li Pei-Yao Zhu Qing Li yu-xia Xu Yan Zhao Huan Pang School of Chemistry and Chemical Engineering Yangzhou UniversityYangzhou 225009China Guangling College Yangzhou UniversityYangzhou 225000China College of Chemistry and Materials Science Sichuan Normal UniversityChengdu 610068China

Here,N-and P-doped carbon-carbon nanotube CoP(NPC-CNTs-CoP)nanoparticles dodecahedra are achieved by multistep calcination of the Zn-doped zeolitic imidazolate framework ZIF-67 precursor(ZnCo-ZIF).In the structures,the presence of N and P atoms,abundant CNTs and the CoP nanoparticles can enhance electrochemical activity and promote the structural stability of *** the temperature increases,the Zn contents gradually reduce to zero,which provides more active sites for electrochemical ***,the high specific surface area and microporous behavior of NPC-CNTsCoP-9 make it excellent in electrocatalytic ***-CoP-9 shows a low overpotential of 224 mV at10 mA·cm^-2 in 1.0 mol·L^-1 KOH *** strategy of zeolitic imidazole framework-derived transition metal phosphides will provide a new sight for developing energy conversion materials.

关键词： Nitrogen Phosphorus Carbon Carbon nanotube CoP Oxygen evolution

Design and FPGA implementation of a memristor-based multi-scroll hyperchaotic system

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Chinese Physics B 2022年第7期31卷 194-202页

作者： Sheng-Hao Jia yu-xia Li Qing-yu Shi xia Huang College of Electrical Engineering and Automation Shandong University of Science and TechnologyQingdao 266590China

A novel memristor-based multi-scroll hyperchaotic system is *** on a voltage-controlled memristor and a modulating sine nonlinear function,a novel method is proposed to generate the multi-scroll hyperchaotic ***,a multi-scroll chaotic system is constructed from a three-dimensional chaotic system by designing a modulating sine nonlinear ***,a voltage-controlled memristor is introduced into the above-designed multi-scroll chaotic ***,a memristor-based multi-scroll hyperchaotic system is generated,and this hyperchaotic system can produce various coexisting hyperchaotic attractors with different topological ***,different number of scrolls and different topological attractors can be obtained by varying the initial conditions of this system without changing the system *** Lyapunov exponents,bifurcation diagrams and basins of attraction are given to analyze the dynamical characteristics of the multi-scroll hyperchaotic ***,the field programmable gate array(FPGA)based digital implementation of the memristor-based multi-scroll hyperchaotic system is carried *** experimental results of the FPGA-based digital circuit are displayed on the oscilloscope.

关键词： multi-scroll hyperchaotic attractor memristor FPGA

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张士卿教授分期辨治小儿厌食症经验总结

时珍国医国药 2025年第2期36卷 359-362页

作者：何岳珍黄爽李玉霞史正刚甘肃中医药大学中医临床学院甘肃兰州730000 甘肃中医药大学附属医院甘肃兰州730000 兰州大学第一医院甘肃兰州730000

文章总结张士卿教授分期辨治小儿厌食症的临证经验。张教授师承古训,结合当今社会儿童膳食情况,认为小儿厌食症病机关键是脾失健运、食滞湿阻,临证主张虚实辨证,治疗秉承“脾健不在补贵在运”学术思想,重视小儿生长发育的生理特点,提出... 详细信息

文章总结张士卿教授分期辨治小儿厌食症的临证经验。张教授师承古训,结合当今社会儿童膳食情况,认为小儿厌食症病机关键是脾失健运、食滞湿阻,临证主张虚实辨证,治疗秉承“脾健不在补贵在运”学术思想,重视小儿生长发育的生理特点,提出分三期治疗:初期以攻为主,消食导滞祛食湿;中期攻补兼施,运脾消积开胃口;后期以补为主,健脾益肾助生长。遣方用药“经方头,时方尾”,临床疗效显著。

关键词：小儿厌食症分期治疗名医经验张士卿

Ovule initiation:the essential step controlling offspring number in Arabidopsis

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Journal of Integrative Plant Biology 2022年第8期64卷 1469-1486页

作者： Shi-xia yu yu-Tong Jiang Wen-Hui Lin The Joint International Research Laboratory of Metabolic and Developmental Sciences School of Life Sciences and BiotechnologyShanghai Jiao Tong UniversityShanghai 200240China Shanghai Collaborative Innovation Center of Agri‐Seeds/Joint Center for Single Cell Biology Shanghai Jiao Tong UniversityShanghai 200240China School of Agriculture and Biology Shanghai Jiao Tong UniversityShanghai 200240China

Seed is the offspring of *** produce large numbers of seeds to ensure effective reproduction and survival in varying *** is a fundamentally important organ and is the precursor of the *** Arabidopsis and other plants characterized by multi-ovulate ovaries,ovule initiation determines the maximal ovule number,thus greatly affecting seed number per fruit and seed *** the regulatory mechanism of ovule initiation has both scientific and economic ***,the genetic and molecular basis underlying ovule initiation remains unclear due to technological *** recently,rules governing the multiple ovules initiation from one placenta have been identified,the individual functions and crosstalk of phytohormones in regulating ovule initiation have been further characterized,and new regulators of ovule boundary are reported,therefore expanding the understanding of this *** this review,we present an overview of current knowledge in ovule initiation and summarize the significance of ovule initiation in regulating the number of plant offspring,as well as raise insights for the future study in this field that provide potential routes for the improvement of crop yield.

关键词： asynchronous initiation of ovule primordia early and late ovule initiation placenta elongation plant hormones seed number per fruit

A Note on the Existence of Positive Solutions for a Fourth-Order Semilinear Elliptic System

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Acta Mathematica Sinica,English Series 2010年第7期26卷 1263-1276页

作者： yu xia GUO Guang Zhong CHEN Department of Mathematics Tsinghua University Beijing 100084 P. R. China

In this note, we prove the existence of positive solutions to a class of biharmonical systems. Our main ingredients are proving a Liouville type result for biharmonical system in R＋^N via the method of moving plane combined with integral inequality, and establishing a prior estimates for positive solutions of the system via the blowing-up method.

关键词： topological degree theory a prior estimate fourth-order system Liouville theorem

Gauges for the Cookie-cutter Sets

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Acta Mathematica Sinica,English Series 2009年第12期25卷 2119-2126页

作者： yu xia DAI Sheng You WEN Department of Mathematics Hubei University Wuhan 430062 P. R. China

Let E be a cookie-cutter set with dimH E =s. It is known that the Hausdorff s-measure and the packing s-measure of the set E are positive and finite. In this paper, we prove that for a gauge function g the set E has positive and finite Hausdorff g-measure if and only if 0 〈 liminft→0 g（t）/ts 〈 ∞. Also, we prove that for a doubling gauge function g the set E has positive and finite packing g-measure if and only if 0 〈 lim supt→0 g（t）/ts 〈 ∞.

关键词： cookie-cutter set gauge function Hausdorff gauge packing gauge

An economic evaluation method of coalbed methane resources during the target selection phase of exploration

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Petroleum Science 2015年第4期12卷 705-711页

作者： Dong-Kun Luo Liang-yu xia School of Business Administration China University of Petroleum (Beijing)

Because forecasting a development program during the target selection phase of exploration for coalbed methane （CBM） is impossible, the conventional method that relies on a conceptual （or detailed） development pro- gram cannot be used during the economic evaluation of CBM resources. Hence, this study focuses on establishing an economic evaluation model based on the characteristics of the target selection phase. The discounted cashflow method is applied to the construction of the model with the assumption that there is a uniform distribution of produc- tion wells. The computational error generated by the assumption is corrected by introducing a correction factor based on the production profile of single CBM wells. The case study demonstrates that the blocks lacking economic value can be screened out, and the most advantageous targets can be found by computing the resource values in the best- and worst-case scenarios. This technique can help to reduce wasted investments and improve the quality of decision-making in selecting targets for exploration.

关键词： Coalbed methane Exploration targetselection Economic evaluation Scenario analysis