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Classification of Positive Solutions to a Divergent Equation on the Upper Half Space

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Acta Mathematica Sinica,English Series 2022年第3期38卷 499-509页

作者： jin ge YAO jing Bo DOU School of Mathematics and Statistics Shaanxi Normal UniversityXi’an710119P.R.China

In this paper we classify the positive solutions of the divergent equation with Neumann boundary on the upper half space{-div(t^(α)∇u)=t^(β)f(u),(y,t)∈R^(n+1)_(+),lim t→0^(+)t^(α)■u/■t=0 by the method of moving spheres and Kelvin transformations,where n≥1,α>0,β>−1,n−1/n+1β≤αgent operator div(t^(α)∇u)on the upper half space.

关键词： Divergent operator Liouville theorem Neumann boundary method of moving spheres Kelvin transformation

Inference for dependence competing risks from bivariate exponential model under generalized progressive hybrid censoring with partially observed failure causes

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Journal of Systems Engineering and Electronics 2019年第1期30卷 201-208页

作者： WANG Liang LI Huanyu MA jin'ge School of Mathematics and Statistics Xidian University

Inference are considered for the dependence competing risks model by using the Marshal-Olkin bivariate exponential distribution. Under generalized progressively hybrid censoring with partially observed failure causes, the maximum likelihood estimators are established, and the approximate confidence intervals are also constructed via the observed Fisher information ***, Bayes estimates and highest probability density credible intervals are presented and the importance sampling technique is used to compute corresponding results. Finally, the numerical analysis is proposed for illustration.

关键词： dependence competing risk generalized progressive hybrid censoring bivariate exponential distribution Bayesian inference.

Highly stretchable,soft and sticky PDMS elastomer by solvothermal polymerization process

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Nano Research 2021年第10期14卷 3636-3642页

作者： jin Huang Yuchun Cai Chengyuan Xue jin ge Haoyu Zhao Shu-Hong Yu Division of Nanomaterials&Chemistry Hefei National Laboratory for Physical Sciences at the MicroscaleInstitute of EnergyHefei Comprehensive National Science CenterCAS Center for Excellence in NanoscienceDepartment of ChemistryUniversity of Science and Technology of ChinaHefei 230026China

Siloxane rubber shows attractive properties of high stability,elasticity and ***,the regulation of its properties renders it widely used in many application ***,most of the reported performance improvement methods of siloxane rubber focus on the change of chemical composition of siloxane rubber,including the design of molecular chain and the introduction of other compounds,*** a strategy is still faced with many limitations in practical *** this work,on the premise of not changing the chemical composition of siloxane rubber,we propose a facile solvothermal polymerization process to change the structure of cross-linking networks,so as to obtain the siloxane rubber with controllable mechanical *** to the normal curing method,we realized polydimethylsiloxane elastomer(PDMS)with maximum elongation of more than 3,000%(>10 times of normally cured one)and tensile modulus lower than 0.15 MPa(<1/10 of normally cured one).In addition to superior stretchability,it gains extra high softness,stickiness and sensitive response to organic *** on our solvothermal cured PDMS,its applications in oil collection and organic solvent sensor have been *** is expected that this method can be readily utilized widely and shows great application potentials.

关键词： polydimethylsiloxane elastomer(PDMS)property modification solvothermal polymerization controllable cross-linking networks organic solvent sensor

Influence of gravity on narrow input forced drainage in 2D liquid foams

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Chinese Science Bulletin 2007年第3期52卷 423-427页

作者： SUN QiCheng ge Wei HUANG jin Institute of Process Engineering Chinese Academy of Sciences Beijing 100080 China

Liquid foam is a dense packing of gas bubbles in a small amount of liquid containing surfactants or other surface-active macromolecules, which is one of the highly organized materials and possesses hallmark rheological behaviour of soft matters. Forced foam drainage is the flow of constantly inputted liquid through the network of interstitial channels between bubbles under actions of gravity and capil-larity. This process involves two mechanisms: minimal viscous flow dissipation of liquid and minimal surface energy of bubbles. For constant surfactant solution, viscous dissipation usually varies with gravity. This work reports simulations of 2D forced foam drainage with narrow input in a Hele-Shaw cell under 8 different gravities, g, ranging from 9.8 to 0 ms?2. The spread of liquid both vertical due to gravity action, and horizontal due to capillary suction, is recorded over time. Positions of drainage wave fronts in both directions with time are found to be well described in the power law form, and the exponents are 0.536+5.29×10-3g and 0.479?7.27×10-3g, respectively, while the sum is close to a constant of 1.015 which is independent of gravity. For g=9.8 ms-2, the calculated exponents are in good agreement with experimental results by Hutzler et al. and Wang.

关键词：液体泡沫重力效应微重力强制滴流表面能

Boundedness in a fully parabolic quasilinear repulsion chemotaxis model of higher dimension

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Applied Mathematics(A Journal of Chinese Universities) 2020年第2期35卷 244-252页

作者： ZHOU Shuang-shuang GONG Ting YANG jin-ge School of Science Hunan City UniversityYiyang 413000China. School of Mathematics Dongbei University of Finance and EconomicsDalian 116024China School of Sciences Nanchang Institute of TechnologyNanchang 330099China

We deal with the boundedness of solutions to a class of fully parabolic quasilinear repulsion chemotaxis systems{ut=∇・(ϕ(u)∇u)+∇・(ψ(u)∇v),(x,t)∈Ω×(0,T),vt=Δv−v+u,(x,t)∈Ω×(0,T),under homogeneous Neumann boundary conditions in a smooth bounded domainΩ⊂R^N(N≥3),where 00 and m∈*** is shown that ifα−m<4/N+2,then for any sufficiently smooth initial data,the classical solutions to the system are uniformly-in-time *** extends the known result for the corresponding model with linear diffusion.

关键词： chemotaxis repulsion quasilinear fully parabolic boundedness high dimension

Numerical study on ignition start-up process of an underwater solid rocket motor across a wide depth range

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Chinese Journal of Aeronautics 2024年第10期37卷 136-157页

作者： Deyou WANG Shipeng LI ge jin Ruyao WANG Dian GUAN Ningfei WANG School of Aerospace Engineering Beijing Institute of TechnologyBeijing 100081China Beijing System Design Institute of Electro-mechanic Engineering Beijing 100854China

Solid rocket motors have important applications in the propulsion of trans-media vehicles and underwater launched *** this paper,the ignition start-up process of an underwater solid rocket motor across a wide depth range has been numerically studied.A novel multi-domain integrated model has been developed by combining the solid propellant ignition and combustion model with the volume of fluid multiphase *** integrated model enables the coupled simulation of the propellant combustion and gas flow inside the motor,along with the gas jet evolution in the external water *** detailed flow field developments in the combustion chamber,nozzle,and wake field are carefully *** variation rules of the internal ballistics and thrust performance are also *** effects of environmental medium and operating depth on the ignition start-up process are systematically *** results show that the influence of the operating environment on the internal ballistic characteristics is primarily reflected in the initial period after the nozzle closure *** development of the gas jet in water lags significantly compared with that in *** the water depth increases,the ignition delay time of the motor is shortened,and the morphology evolution of the gas jet is significantly compressed and ***,the necking and bulging of the jet boundary near the nozzle outlet and the consequent shock oscillations are intensified,resulting in stronger fluctuations in the wake pressure field and motor thrust.

关键词： Underwater propulsion Solid rocket motor Ignition start-up process Underwater gas jet Thrust oscillation

Peptide-Based Electrochemical Biosensors and Their Applications in Disease Detection

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Journal of Analysis and Testing 2022年第2期6卷 193-203页

作者： jin-ge Zhao Jie Cao Wei-Zhi Wang Key Laboratory of Medical Molecule Science and Pharmaceutics Engineering Ministry of Industry and Information TechnologyKey Laboratory of Cluster Science of Ministry of EducationBeijing Key Laboratory of Photoelectronic/Electro-Photonic Conversion MaterialsSchool of Chemistry and Chemical EngineeringBeijing Institute of TechnologyBeijing 100081China

Biosensors based on small molecule peptides have developed rapidly in the detection of disease markers with the characteristics of high sensitivity, rapid analysis speed and easy miniaturization. The properties of the sensor, such as the sensitivity and detection range, are closely related to the material and structure of the electrodes. The electrodes mainly used in peptidebased biosensors are gold electrodes, glassy carbon electrodes(GCE), indium tin oxide(ITO) conductive glass electrodes and screen-printed electrodes. In addition, to improve the biomolecule loading rate, antifouling performance, electrical conductivity of the biosensor, a variety of nanomaterials and organic molecules are used to construct the biosensor for disease detection. This review summarizes the properties of several commonly used electrodes for peptide-based electrochemical biosensors, and introduces some modified materials of the electrode and their effects on sensor performance. In the future,the peptide-based biosensors will be widely used in clinical detection and other related fields.

关键词： Peptide Biosensor Electrode Nanomaterials

Polarons in alkaline-earth-like atoms with multiple background Fermi surfaces

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Frontiers of physics 2018年第4期13卷 185-193页

作者： jin-ge Chen Yue-Ran Shi Xiang Zhang Wei Zhang Department of Physics Renmin University of China Beijing 100872 China Beijing Key Laboratory of Opto-electronic Functional Materials and Micro-nano Devices Renmin University of China Beijing 100872 China

We study the impurity problem in a Fermi gas of 173Yb atoms near an orbital Feshbach resonance （OFR）, where a single moving particle in the 3p0 state interacts with two background Fermi seas of particles in different nuclear states of the ground 1S0 manifold. By employing wave function ansatz to molecule and polaron states, we investigate various properties of the molecule, the attractive polaron, and the repulsive polaron states. In comparison to the case where only one Fermi sea is populated, we find that the presence of an additional Fermi sea acts as an energy shift between the two channels of the OFR. In addition, quantum fluctuations near the Fermi level can also induce sizable effects to various properties of the attractive and repulsive polarons.

关键词： Fermi gas alkaline-earth atoms orbital Feshbach resonance polaron

Printable elastic silver nanowire-based conductor for washable electronic textiles

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Nano Research 2020年第10期13卷 2879-2884页

作者： Hong-Wu Zhu Huai-Ling Gao Hao-Yu Zhao jin ge Bi-Cheng Hu jin Huang Shu-Hong Yu Division of Nanomaterials&Chemistry Hefei National Laboratory for Physical Sciences at the MicroscaleInstitute of EnergyHefei Comprehensive National Science CenterCAS Center for Exclilence in NanoscienceDepartment of ChemistryUniversity of Science and Technology of ChinaHefei 230026China

Printable elastic conductors promote the wide application of consumable electronic textiles (e-textiles) for pervasive healthcare monitoring and wearable computation. To assure a clean appearance, the e-textiles require a washing process to clean up the dirt after daily use. Thus, it is crucial to develop low-cost printable elastic conductors with strong adhesion to the textiles. Here, we report a composite elastic conductor based on Ag nanowires (NWs) and polyurethane elastomer. The composite could be dispersed into ink and easily printed onto textiles. One-step print could form robust conductive coatings without sealing on the textiles. Interestingly, the regional concentration of Ag NWs within the polyurethane matrix was observed during phase inversion, endowing the elastic conductor with a low percolation threshold of 0.12 vol.% and high conductivity of 3,668 S·cm^−1. Thanks to the high adhesion of the elastic conductors, the resulted e-textiles could withstand repeated stretching, folding, and machine washing (20 times) without obvious performance decay, which reveals its potential application in consumable e-textiles.

关键词： printable elastic conductor electronic textiles washability phase inversion silver nanowires