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A New Type of Solution Method for the Generalized Linear Complementarity Problem over a Polyhedral Cone

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International Journal of Automation and computing 2009年第3期6卷 228-233页

作者： Hong-Chun Sun Yan-Liang Dong Departinent of Mathematics Linyi Normal University Linyi 276005 PRC Rizhao vocational and technical college Rizhao 276800 PRC

This paper addresses the generalized linear complementarity problem （GLCP） over a polyhedral cone. To solve the problem, we first equivalently convert the problem into an affine variational inequalities problem over a closed polyhedral cone, and then propose a new type of method to solve the GLCP based on the error bound estimation. The global and R-linear convergence rate is established. The numerical experiments show the efficiency of the method.

关键词： Generalized linear complementarity problem (GLCP) error bound algorithm global convergence R-linear convergence rate.

ASYMPTOTIC BEHAVIOR OF GLOBAL SMOOTH SOLUTIONS FOR BIPOLAR COMPRESSIBLE NAVIER-STOKES-MAXWELL SYSTEM FROM PLASMAS

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Acta Mathematica Scientia 2015年第5期35卷 955-969页

作者：冯跃红王术李新 college of Applied Sciences Beijing University of Technology Laboratoire de Mathématiques Université Blaise Pascal Department of Mathematics and Computer Science Xinyang Vocational and Technical College

This paper is concerned with the bipolar compressible Navier-Stokes-Maxwell system for plasmas. We investigated, by means of the techniques of symmetrizer and elaborate energy method, the Cauchy problem in R^3. Under the assumption that the initial values are close to a equilibrium solutions, we prove that the smooth solutions of this problem converge to a steady state as the time goes to the infinity. It is shown that the difference of densities of two carriers converge to the equilibrium states with the norm ｜｜·｜｜H^s-1, while the velocities and the electromagnetic fields converge to the equilibrium states with weaker norms than ｜｜·｜｜H^s-1. This phenomenon on the charge transport shows the essential difference between the unipolar Navier-Stokes-Maxwell and the bipolar Navier-Stokes-Maxwell system.

关键词： bipolar compressible Navier-Stokes-Maxwell system plasmas global smooth solutions energy estimates large-time behavior

Chorus-Driven Outer Radiation Belt Electron Dynamics at Different L-Shells

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Chinese Physics Letters 2010年第12期27卷 219-222页

作者：张赛肖伏良 Hunan Science and Technology Industrial vocational and technical college Xiangtan 411207 School of Physics and Electronic Sciences Changsha University oF Science and Technology Changsha 410004

Energetic outer radiation belt electron phase space density （PSD） evolution due to interaction with whistler-mode chorus at different L-shells is investigated by solving the diffusion equation including cross diffusion terms. It is found that the difference of diffusion rates for different L-shells occurs primarily at pitch angles 0°-50° and around 90°. In particular, diffusion rates for L = 6.5 are found to be 5-10 times larger than that for L = 3.5 at these pitch angles. In the presence of cross terms, PSD for - MeV electrons after 24h decreases by about 25, 12, 10 and 8 times at L = 3.5, 4.5, 5.5 and 6.5 near the loss cone, and increases by about 55, 45, 30 and 20 times at larger pitch angles, respectively. After 24 h, the ratios between - MeV electron PSDs from simulations without and with cross diffusion at L = 3.5, 4.5, 5.5 and 6.5 are about 350, 600, 800 and 800 near the loss cone, and become 5, 5.5, 6.5 and 8 at pitch angle 90°, respectively. These results demonstrate that neglect of cross diffusion generally results in the overestimate of PSD, and the cross diffusion plays a more significant role in the resonant interaction between chorus waves and outer radiation belt electrons at larger L.

关键词： RADIATION belts ELECTRONS NUCLEAR shell theory PHASE space (Statistical physics) DENSITY HEAT equation MOLECULAR dynamics

Thermal Insulation Distribution Pattern of Layered Clothing Ensemble

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Journal of Donghua University(English Edition) 2004年第2期21卷 38-41页

作者：李俊韦鸿发刘岩张渭源 Fashion Institute Donghua University Shanghai 200051 China Liuzhou vocational and technical college Guangxi 545005 China

With a thermal manikin, the distribution pattern of thermal insulation in multi-layered clothing ensemble is studied. It is found that the thermal insulation of multi-layered clothing ensemble has certain statistical ... 详细信息

关键词： Clothing thermal insulation thermal manikin still air layer

SHARP BOUNDS FOR TOADER-TYPE MEANS IN TERMS OF TWO-PARAMETER MEANS

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Acta Mathematica Scientia 2021年第3期41卷 719-728页

作者： Yueying YANG Weimao QIAN Hongwei ZHANG Yuming CHU School of Mechanical and Electrical Engineering Huzhou Vocational&Technical CollegeHuzhou 313000China School of Continuing Education Huzhou Vocational&Technical CollegeHuzhou 313000China School of Mathematics and Statistics Changsha University of Science&TechnologyChangsha 410014China Department of Mathematics Huzhou UniversityHuzhou 313000China

In the article,we prove that the double inequalities Gp[λ1a+(1-λ1)b,λ1 b+(1-λ1)a]A1-p(a,b)0 with a≠b if and only ifλ1≤1/2-(1-(2/π)2/p)1/2/2,μ1≥1/2-(2p)1/2/(4 p),λ2≤1/2+(2(3/(2 s)(E(21/2/2)/π)1/s)-1)1/2/2 andμ2≥1/2+s1/2/(4 s)ifλ1,μ1∈(0,1/2),λ2,μ2∈(1/2,1),p≥1 and s≥1/2,where G(a,b)=(ab)1/2,A(a,b)=(a+b)/2,T(a,b)=∫0π/2(a2 cos2 t+b2 sin2)1/2 tdt/π,Q(a,b)=((a2+b2)/2)1/2,C(a,b)=(a2+b2)/(a+b)and E(r)=∫0π/2(1-r^(2) sin^(2))1/2 tdt.

关键词： Geometric mean arithmetic mean Toader mean ontraharmonic mean complete elliptic integral

Structural Effects of L16Q, S20G, and L16Q-S20G Mutations on hlAPP： A Comparative Molecular Dynamics Study

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Chinese Journal of Chemistry 2012年第2期30卷 241-248页

作者： Wang,Mian Yang,Jipeng Wang,Jianyi Wang,Xiaojuan School of Chemistry and Chemical Engineering Guangxi UniversityNanningGuangxi 53004China Jiyuan vocational and technical college JiyuanHenan 459000China

The conformation change picture of human islet amyloid polypeptide （hlAPP） is outlined using molecular dynamics simulation, and the structural influences of L16Q, S20G, and L16Q-S20G mutations on the conformation of hlAPP are analyzed. Particularly, the conformational changes of the amyloidogenic-related regions of residues 15-- 17 and 20--29 are emphasized. Our studies find that, for WT hlAPP, residues 15--17 always maintain a stable a-helix structure, residues 20--25 structurally fluctuate between turn and 5-helix, and residues 26--29 mainly adopt coil and bend structures. The hydrogen bonds between the polar groups of hlAPP, long-rang van der Waals forces between the residues, and hydrophobic interactions between the residues of hlAPP are important driving forces to maintain the secondary structure of hlAPP. The replacement of leucine 16 by glutamine stabilizes the helix structure of residues 15--17 and 20--23 of hlAPP monomer, and the structure of residues 24--29 fluctuates be- tween helix and turn. The relatively stable helix structures of residues 15--17 and 20--29 are supposed to be beneficial for L16Q hlAPP to resist the aggregation as observed in the experiment. The substitution of serine20 by glycinc drives residues 15--17 and 20--29 of hlAPP to transform from helix structure to β-strands or coil structures with higher extension and flexibility, which may promote the aggregation of hlAPP as the experiments reported. These results are significant to understand the aggregation mechanism of hlAPP monomer into the dimer, trimer, oligomers and fibrils associated with the type 2 diabetes at the atomic level.

关键词： hIAPP wild type mutant molecular dynamics simulation

Nanoparticle-strengthened Ni_(2)CoCrNb_(0.2)medium-entropy alloy with an ultrastrong cryogenic yield strength fabricated by additive manufacturing

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Journal of Materials Science & Technology 2023年第32期163卷 17-31页

作者： Fangping Wang Yaxiong Guo Qibin Liu Xiaojuan Shang college of Materials and Metallurgy Guizhou UniversityGuiyang 550025China Guiyang vocational and technical college Guiyang 550081China Key Laboratory for Modern Manufacturing Technology of Educational Ministry Guiyang 550025China

To improve the yield strength of metallic materials at low temperatures,a strategy of combining the calculation of phase diagrams(CALPHAD)technique with the overall valence electron concentration(OVEC)principle is applied,and a Ni_(2)CoCrNb_(0.2)medium-entropy alloy(MEA)with D022 superlattice(noted as theγ″phase)is *** MEA samples without defects were successfully fabricated using laser additive manufacturing(AM),followed by solution treatment at 1200℃for 1 h and then aging at 650℃for 120 *** nanoscaleγ″phase *** tensile results indicated that the MEA had superior yield strengths of∼1180 MPa and∼1320 MPa and tensile strengths of∼1335 MPa and∼1552 MPa at 293 K and 77 K,*** yield strength obtained was superior to that of currently reported medium/high-entropy alloys and typical advanced cryogenic *** mechanical properties of the Ni_(2)CoCrNb_(0.2)MEA demonstrated a strong temperature dependence,and the increased yield strength was mainly attributed to the increase in lattice friction stress at low *** research provides a new strategy for producing materials with ultrastrong cryogenic yield strengths by AM.

关键词： Additive manufacturing Medium-entropy alloys D0_(22)superlattice Temperature dependence Cryogenic performance

Estimation of suspended sediment concentrations using Pulse-coherent Acoustic Doppler Profiler (PCADP)

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Chinese Journal of Oceanology and Limnology 2009年第2期27卷 260-265页

作者：柏秀芳李思忍龚德俊徐永平姜静波 Institute of Oceanology Chinese Academy of SciencesR&D Centre of Ocean Environmental Engineering and Technology Qingdao Feiyang vocational & technical college

The objective of the study is to investigate the suitability of using Pulse-coherent Acoustic Doppler Profiler (PCADP) to estimate suspended sediment concentration (SSC). The acoustic backscatter intensity was corrected for spreading and absorption loss, then calibrated with OBS and finally converted to SSC. The results show that there is a good correlation between SSC and backscatter intensity with R value of 0.74. The mean relative error is 22.4%. Then the time span of little particle size variation was also analyzed to exclude the influence of size variation. The correlation coefficient increased to 0.81 and the error decreased to 18.9%. Our results suggest that the PCADP can meet the requirement of other professional instruments to estimate SSC with the errors between 20% and 50%, and can satisfy the need of dynamics study of suspended particles.

关键词： Doppler Profiler (PCADP) suspended sediment concentration (SSC) acoustic backscatterintensity

Dynamics of a Predator-Prey Ecological System with Nonlinear Harvesting Rate

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Wuhan University Journal of Natural Sciences 2015年第1期20卷 25-33页

作者： LIU Weiyi LI Biwen FU Chaojin CHEN Boshan Institute of Technology Xianning Vocational Technical College college of Mathematics and Statistics Hubei Normal University college of Arts and Science Hubei Normal University

In this paper, a predator-prey ecological economic system with nonlinear harvesting rate is formulated and studied. This system is described by a differential-algebraic equation. By employing local parameterization method, an equivalent differen- tial system with parameter is obtained. Then by normal form the-ory and bifurcation theory, the complex dynamics of the system are investigated, including the local stability of equilibrium point and Hopf bifurcation. Finally, MATLAB simulation illustrates the effectiveness of our results.

关键词： differential-algebraic equation stability Hopf bifurcation nonlinear harvesting rate