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Classification and Reduction of Generalized Thin Film Equations

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Communications in Theoretical Physics 2009年第9期52卷 403-410页

作者： zhu chun-Rong QU Chang-Zheng Center for Nonlinear Studies Northwest University Xi＇an 710069 China College of Mathematics and Computer Science Anhui Normal University Wuhu 241000 China Department of Mathematics Northwest University Xi＇an 710069 China

Classification and reduction of the generalized fourth-order nonlinear differential equations arising from theliquid films are *** is shown that these equations have solutions on subspaces of the polynomial,exponential ortrigonometric form defined by linear nth-order ordinary differential equations with constant coefficients for n=4,...,*** examples of exact solutions are presented.

关键词： thin film equation classification invariant subspaces exact solutions

Invariant Sets and Exact Solutions to Higher-Dimensional Wave Equations

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Communications in Theoretical Physics 2008年第5期49卷 1119-1124页

作者： QU Gai-zhu ZHANG Shun-Li zhu chun-Rong Center for Nonlinear Studies Department of Mathematics Northwest University Xi＇an 710069 China Center of Nonlinear Science Ningbo University Ningbo 315211 China Department of Mathematics Anhui Normal University Wuhu 241000 China

The invariant sets and exact solutions of the （1 ＋ 2）-dimensional wave equations are discussed. It is shown that there exist a class of solutions to the equations which belong to the invariant set E0 = {u ： ux = ... 详细信息

关键词： wave equation invariant set exact solution

Asymptotic Approximations of Jacobi Functions and Their Zeros with Error Bounds

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Acta Mathematica Sinica,English Series 2006年第3期22卷 729-740页

作者： Xiao Feng zhu Xiu chun LI Department of Basic Science Beijing Institute of Graphic Communication

The study of zeros of orthogonal functions is an important topic. In this paper, by improving the middle variable x（t）, we＇ve got a new form of asymptotic approximation, completed with error bounds, it is constructed for the Jacobi functions φu^（α,β）（t）（α 〉 -1） as μ→∞. Besides, an accurate approximation with error bounds is also constructed correspondingly for the zeros tμ,s of φu^（α,β）（t）（α≥ 0） as μ→∞, uniformly with respect to s = 1, 2,....

关键词： Asymptotic approximation Jacobi function Zero Error bounds

Population Synthesis for Mira Variables

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Chinese Journal of Astronomy and Astrophysics 2005年第4期5卷 419-425页

作者： chun-Hua zhu Chao-Zheng Zha Department of Physics Xinjiang University Urumqi 830046

By means of a population synthesis code, we investigate the Mira variables. Their birth rate （over 0.65yr^-1） and their number （～ 130000） in the Galaxy are estimated. For all possible Mira variables, ranges of their initial masses,pulsating periods, mass losses and lifetimes are given. We check our model with the observed Mira variables near the Sun and our results prove to be valid.

关键词： stars: late-type - stars: variables - stars: fundamental parameters

Projected gradient trust-region method for solving nonlinear systems with convex constraints

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Applied Mathematics(A Journal of Chinese Universities) 2011年第1期26卷 57-69页

作者： JIA chun-xia zhu De-tong Mathematics and Science College Shanghai Normal University Shanghai 200234 China Business College Shanghai Normal University Shanghai 200234 China

In this paper, a projected gradient trust region algorithm for solving nonlinear equality systems with convex constraints is considered. The global convergence results are developed in a very general setting of computing trial directions by this method combining with the line search technique. Close to the solution set this method is locally Q-superlinearly convergent under an error bound assumption which is much weaker than the standard nonsingularity condition.

关键词： Nonlinear equation trust region method projected gradient local error bound.

Constructing Donor–Acceptor‑Linked COFs Electrolytes to Regulate Electron Density and Accelerate the Li^(+)Migration in Quasi‑Solid‑State Battery

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Nano-Micro Letters 2025年第1期17卷 456-471页

作者： Genfu Zhao Hang Ma Conghui Zhang Yongxin Yang Shuyuan Yu Haiye zhu Yongjiang Sun Hong Guo School of Materials and Energy International Joint Research Center for Advanced Energy Materials of Yunnan ProvinceYunnan UniversityKunming 650091People’s Republic of China Yunnan Yuntianhua Co. LtdR&D CenterKunming 650228People’s Republic of China Southwest United Graduate School Kunming 650091People’s Republic of China

Regulation the electronic density of solid-state electrolyte by donor–acceptor(D–A)system can achieve highly-selective Li^(+)transportation and conduction in solid-state Li metal *** study reports a high-performance solid-state electrolyte thorough D–A-linked covalent organic frameworks(COFs)based on intramolecular charge transfer *** other reported COFbased solid-state electrolyte,the developed concept with D–A-linked COFs not only achieves electronic modulation to promote highly-selective Li^(+)migration and inhibit Li dendrite,but also offers a crucial opportunity to understand the role of electronic density in solid-state Li metal *** introduced strong electronegativity F-based ligand in COF electrolyte results in highlyselective Li^(+)(transference number 0.83),high ionic conductivity(6.7×10^(-4)S cm^(−1)),excellent cyclic ability(1000 h)in Li metal symmetric cell and high-capacity retention in Li/LiFePO_(4)cell(90.8%for 300 cycles at 5C)than substituted C-and N-based *** is ascribed to outstanding D–A interaction between donor porphyrin and acceptor F atoms,which effectively expedites electron transferring from porphyrin to F-based ligand and enhances Li^(+)***,we anticipate that this work creates insight into the strategy for accelerating Li^(+)conduction in high-performance solid-state Li metal batteries through D–A system.

关键词： Electronic modulation engineering Donor-acceptor-linked covalent organic frameworks Quasi-solid-state Li metal battery

Energy and centrality dependence of light nuclei production in relativistic heavy-ion collisions

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Nuclear Science and Techniques 2022年第4期33卷 62-71页

作者： Li-Lin zhu Bo Wang meng Wang Hua Zheng Department of Physics Sichuan UniversityChengdu 610064China School of Physics and Information Technology Shaanxi Normal UniversityXi’an 710119China

We study the energy and centrality dependence of deuteron and triton(helium-3)production in relativistic heavy-ion collisions at the BNL Relativistic Heavy Ion Collider(RHIC)and CERN Large Hadron Collider(LHC)using the Tsallis distribution,blast-wave(BW)model,and stationary Fokker-Planck(FP)*** study shows that good agreement can be reached between the fitting results from the stationary FP solution and the experimental data for Au+Au collisions from the beam energy scan(BES)program of RHIC at√SNN=7.7,11.5,14.5,19.6,27,39,62.4,and 200 GeV and for Pb+Pb collisions at√SNN=2.76 *** Tsallis distribution and BW model can reasonably describe the deuteron and triton(helium-3)trans verse momentum spectra obtained at RHIC and LHC.A more comprehensive comparison among the three methods suggests that the stationary FP solution is a sensible method,which is able to describe the energy dependence of the light nuclei yield ratio N_(t)N_(p)/N_(d)^(2) and provide a coherent description of deuteron and triton(helium-3)production for all centralities and various colliding energies at RHIC and LHC.

关键词： Light nucleiproduction Heavy-ioncollisions Tsallis distribution Blast-wavemodel Fokker–Planck solution

Molecularly imprinted open porous membranes made from Pickering W/O HIPEs for selective adsorption and separation of methyl 4-hydroxybenzoate

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Chinese Chemical Letters 2015年第8期26卷 1036-1041页

作者： Hong-Yu Luo Min Zhang Nai-Chao Si Min-Jia meng Li Yan Wen-Jing zhu chun-Xiang Li School of Material Science and Engineering Jiangsu University School of Chemistry & Chemical Engineering Jiangsu University School of Chemistry Jilin Normal University

In this study, novel molecularly imprinted open porous membranes（MIOPMs） were prepared using the Pickering HIPEs template method and molecular imprinting technology for selective adsorption and separation of methyl 4-hydroxybenzoate（M4HB）. The template M4 HB, functional monomers,crosslinker and plastifier 2-ethylhexyl acrylate（2-EHA） were contained in the oil phase. Hydrophobic silica nanoparticles（HNP-SiO2） were employed as a stabilizer to establish stable W/O Pickering HIPEs with nonionic surfactant sorbitantrioleate（Span 85）. The results of SEM and FTIR indicated that the optimal MIOPMs were prepared successfully and possessed open and interconnecting pores. Then, the MIOPMs were used as sorbents for M4 HB. The correlation coefficient（R^2） values for the Langmuir–Freundlich isotherm model and pseudo-second-order kinetic model fitting to the adsorption equilibrium and kinetic data respectively were all higher than 0.95. The maximum adsorption capacity and the time of rapid adsorption for MIOPM4 were 4.146 mg g^-1 and 100 min, respectively. In addition, the permeability separation factor of MIOPMs for M4 HB compared to a structurally related analog methyl2-hydroxybenzoate（M2HB） could reach 3.122.

关键词： template porous surfactant silica ethylhexyl stabilizer fitting pores imprinting structurally

Characteristic changes in astrocyte properties during astrocyte-to-neuron conversion induced by NeuroD1/Ascl1/Dlx2

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Neural Regeneration Research 2025年第6期20卷 1801-1815页

作者： Qing He Zhen Wang Yuchen Wang mengjie zhu Zhile Liang Kanghong Zhang Yuge Xu Gong Chen GHM Institute of CNS Regeneration Jinan UniversityGuangzhouGuangdong ProvinceChina

Direct in vivo conversion of astrocytes into functional new neurons induced by neural transcription factors has been recognized as a potential new therapeutic intervention for neural injury and degenerative disorders. However, a few recent studies have claimed that neural transcription factors cannot convert astrocytes into neurons, attributing the converted neurons to pre-existing neurons mis-expressing transgenes. In this study, we overexpressed three distinct neural transcription factors––NeuroD1, Ascl1, and Dlx2––in reactive astrocytes in mouse cortices subjected to stab injury, resulting in a series of significant changes in astrocyte properties. Initially, the three neural transcription factors were exclusively expressed in the nuclei of astrocytes. Over time, however, these astrocytes gradually adopted neuronal morphology, and the neural transcription factors was gradually observed in the nuclei of neuron-like cells instead of astrocytes. Furthermore,we noted that transcription factor-infected astrocytes showed a progressive decrease in the expression of astrocytic markers AQP4(astrocyte endfeet signal), CX43(gap junction signal), and S100β. Importantly, none of these changes could be attributed to transgene leakage into preexisting neurons. Therefore, our findings suggest that neural transcription factors such as NeuroD1, Ascl1, and Dlx2 can effectively convert reactive astrocytes into neurons in the adult mammalian brain.

关键词： aquaporin-4 Ascl1 astrocyte cortex Dlx2 gap junction glia-to-neuron conversion neural regeneration NeuroD1 reprogramming