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GENERAL DECAY FOR A DIFFERENTIAL INCLUSION OF KIRCHHOFF TYPE WITH A MEMORY CONDITION AT THE BOUNDARY

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Acta Mathematica Scientia 2014年第3期34卷 729-738页

作者： Jum-Ran kang Department of Mathematics Dong-A UniversityBusan 604-714Korea

In this article, we consider a differential inclusion of Kirchhoff type with a memory condition at the boundary. We prove the asymptotic behavior of the corresponding solutions. For a wider class of relaxation functions, we establish a more general decay result, from which the usual exponential and polynomial decay rates are only special cases.

关键词： General decay differential inclusion boundary value problem memory term relaxation function

Existence and Regularity of Solution to the Generalized Tricomi Equation with a Singular Initial Datum at a Point

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Acta Mathematica Sinica,English Series 2012年第6期28卷 1135-1154页

作者： kang Qun ZHANG Department of Mathematics&IMS Nanjing University

In this paper, we study the existence and regularity of a solution to the initial datum problem of a semilinear generalized Tricomi equation in mixed-type initial datum on the degenerate plane is smooth away from the origin, domain. We suppose that an and has a conormal singularity at this point, then we show that in some mixed-type domain, the solution exists and is conormal with respect to the characteristic conic surface which is issued from the origin and has a cusp singularity.

关键词： Generalized Tricomi equation confluent hypergeometric function existence conormalregularity cusp singularity

A Note on Initial Value Problem for the Generalized Tricomi Equation in a Mixed-type Domain

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Acta Mathematica Sinica,English Series 2013年第8期29卷 1581-1596页

作者： kang Qun ZHANG Department of Mathematics and Physics Nanjing Institute of Technology

In this paper, we study the well-posedness of initial value problem for n-dimensional gener-alized Tricomi equation in the mixed-type domain {（t,x）：t∈[1,＋∞）,x∈Rn} with the initial data given on the line t=1 in Hadamard＇s sense. By taking partial Fourier transformation, we obtain the explicit expression of the solution in terms of two integral operators and further establish the global estimate of such a solution for a class of initial data and source term. Finally, we establish the global solution in time direction for a semilinear problem used the estimate.

关键词： Generalized Tricomi equation semilinear initial value problem mixed-type domain

Effect of temperature and mating pair on tribological properties of DLC and GLC coatings under high pressure lubricated by MoDTC and ZDDP

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Friction 2021年第6期9卷 1390-1405页

作者： kang LIU Jia-jie kang Guang-an ZHANG Zhi-bin LU Wen YUE School of Engineering and Technology China University of Geosciences(Beijing)Beijing 100083China Key Laboratory of Deep GeoDrilling Technology of Ministry of Natural Resources Beijing 100083China Zhengzhou Institute China University of Geosciences(Beijing)Zhengzhou 451283China State Key Laboratory of Solid Lubrication Lanzhou Institute of Chemical PhysicsChinese Academy of SciencesLanzhou 730000China

Diamond-like carbon(DLC)and graphite-like carbon(GLC)coatings have good prospects for improving the surface properties of engine ***,further understanding is needed on the effect of working conditions on tribological *** this study,GLC and two types of DLC coatings were deposited on GCr15 substrate for *** friction and wear properties of self-mated and steel-mated pairs were *** temperatures(25 and 90℃),three lubrication conditions(base oil,molybdenum dithiocarbamate(MoDTC)-containing oil,MoDTC+zinc dialkyldithiophosphate(ZDDP)-containing oil),and high Hertz contact stress(2.41 GPa)were applied in the *** results showed that high temperature promoted the effect of ZDDP on steel-mated pairs,but increased wear under base oil *** increased wear for steel-mated pairs lubricated by MoDTC-containing oil was due to abrasive wear probably caused by MoO_(3) andβ-FeMoO_(4).It was also found that in most cases,the tribological properties of self-mated pairs were better than those of steel-mated pairs.

关键词： diamond-like carbon(DLC) graphite-like carbon(GLC) mating pair temperature oil additives

Support interaction of Pt/CeO2 and Pt/SiC catalysts prepared by nano platinum colloid deposition for CO oxidation

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Journal of Rare Earths 2020年第4期38卷 376-383页

作者： kang Xi Yong Wang kang Jiang Jing Xie Ying Zhou Hanfeng Lu Innovation Team of Air Pollution Control Institute of Catalytic Reaction EngineeringCollege of Chemical EngineeringZhejiang University of TechnologyHangzhou 310014China

The interaction between Pt and its various supports can regulate the intrinsic electronic structure of Pt particles and their catalytic ***,Pt/CeO2 and Pt/SiC catalysts were successfully prepared via a facile Pt colloidal particle deposition method,and their catalytic performance in CO oxidation was ***,TEM,XPS and H2-TPR were used to identify the states of Pt particles on the support surface,as well as their effect on the performance of the *** of the Pt-O-Ce interaction is one of the factors controlling catalyst *** the oxidative treatment at low temperature,the Pt-O-Ce interaction plays an important role in improving the catalytic *** calcining at high temperature,enhanced Pt-O-Ce interaction results in the absence of metallic Pt0 on the support surface,as evidenced by the appearance of Pt2+*** is consistent with the XPS data of Pt/CeO2,and is the main reason behind the deactivation of the *** contrast,either no interaction is formed between Pt and SiC or Pt nanoparticles remain in the metallic Pt0 state on the SiC surface even after aging at 800℃in an oxidizing ***,the Pt/SiC shows better thermal stability than Pt/*** interaction between Pt and the active support may be concluded to be essential for CO oxidation at low temperature,but strong interactions may induce serious deactivation of catalytic activity.

关键词： Nano platinum colloid CO oxidation Pt-O-Ce interaction CeO2 SiC Rare earths

Diagnostic analysis of the asymmetric structure of the simulated landfalling typhoon “Haitang”

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Progress in Natural Science:Materials International 2008年第10期18卷 1249-1260页

作者： Ki-Ryong kang National Institute of Meteorological Research KMASeoulRepublic of Korea

The landfailing processes of Typhoon"Haitang"near Lianjiang of Fujian Province of China from 00 UTC 19 to 12 UTC 20 July 2005 were reproduced by using the nesting non-hydrostatic WRF model and data assimilation technology (LevelⅡDoppler radar data of Changle of Fujian Province are assimilated to the simulation every one hour from 01 to 06 UTC 19 July 2005).The mesoscale structure and evolution of the typhoon before,during,and after its landfall were *** simulation data show that the assimilation exper- iment with the high temporal-and-spatial-resolution radar radial velocity and reflectivity data can produce much better simulation of the typhoon track,intensity evolution and landfalling location than the control experiment without assimilating radar *** using the assimilation experimental data,the mesoscale fine-mesh structure and evolution before and after typhoon landfall were analyzed. Because of the influence of sea-land thermodynamic difference,two asymmetric convective regions were located at ocean and land, *** better understand and investigate the asymmetric-structure characteristics of the landfalling typhoon,several dynamical diagnostic tools,the helicity (H),the moist potential vorticity (MPV),the convective vorticity vector (CVV),the moist vorticity vector (MVV),which are associated with the development of strong convections,are *** analysis illuminates that the distribu- tions of these physical diagnostic parameters are totally asymmetric,and subsequently,the associated convections also show distinct asymmetry.

关键词： Typhoon Landfall Convective vorticity vector Moist vorticity vector

Molecular dynamics simulations of CH4 diffusion in kaolinite: influence of water content

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International Journal of Coal Science & Technology 2019年第4期6卷 556-563页

作者： Bin Zhang Jianting kang Tianhe kang Guanxian kang Guofei Zhao Key Laboratory of In-situ Property-Improving Mining of Ministry of Education Taiyuan University of TechnologyTaiyuan 030024People's Republic of China College of Safety and Emergency Management Engineering Taiyuan University of TechnologyTaiyuan 030024People's Republic of China Shanxi Institute of Energy Jinzhong 030600People's Republic of China

Understanding the interaction of CH4 with kaolinite is significant for researchers in the fields of coalbed CH4 and shale *** diffusion behaviors of CH4 in kaolinite with water contents ranging from 0 to 5 wt% have been analyzed by molecular dynamics *** results of the simulations indicate that CH4 molecules can jump between adjacent holes in the kaolinite ***4 diffusion coefficient was very low (3.28 × 10-9 m2/s) and increased linearly with the increasing of water *** the water content decreased,the value of radial distribution function first peak between CH4 and oxygen was larger,meaning that with lower water content,the interaction energy between CH4 and oxygen in kaolinite is *** interaction between CH4 and water is linearly positively correlated with water content,in contrast,the interaction energy between kaolinite and water as well as between kaolinite and CH4 decreased linearly with increasing water *** the other hand,the diffusion of CH4 molecules adsorbed on the surfaces also can be accelerated by the fast diffusion of water molecules in the middle micropore of the kaolinite.

关键词： Molecular dynamics Kaolinite Water content Diffusion Interaction energy

Effect of Solvents on Oxidation of 1,1′-Bi-2-naphthol

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Chemical Research in Chinese Universities 2005年第1期21卷 88-91页

作者： SONGJi-guo SHENPei-kang StateKeyLaboratoryofOptoelectronicMaterialsandTechnologies SchoolofPhysicsandEngineeringSunYat-SenUniversityGuangzhou510275P.R.China

A novel biomimetic catalyst of complex Cu(p-OTs) 2/ethanolamine(1∶1) was used to oxidize 1,1′-bi-2-naphthol into xanthene derivatives with a relative high yield in a mixed solvents of dimethyl sulfoxide(DMSO) and CH 3OH. The studies on the effect of some solvents on the yield of xanthene derivatives indicates that the yield reduces dramatically with the increase of the content of H 2O in the mixed solvents of H 2O and DMSO. No product can be obtained when the content of H 2O is up to 70%. The cyclic voltammetric study demonstrated that the copper ion in complex Cu(p-OTs) 2/ethanolamine(1∶1) is reduced via a two-step one-electron reduction process from Cu(Ⅱ) to Cu in the mixture of DMSO and H 2O. Water as a poor solvent in respect to the reactants probably hampered the coordination of 1,1′-bi-2-naphthol to copper/amine complex and led to the insufficient catalytic efficiency of complex Cu(p-OTs) 2/ethanolamine(1∶1).

关键词： Copper p-toluenesulfonate Mimetic enzyme Xanthene Electrochemistry

Bochner-Martinelli Formula for Higher Spin Operators of Several R^(6) Variables

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Chinese Annals of Mathematics,Series B 2023年第4期44卷 489-500页

作者： Guangzhen REN Qianqian kang Department of Mathematics Zhejiang International Studies UniversityHangzhou 310023China

The higher spin operator of several R^(6)variables is an analogue of the■-operator in theory of several complex *** higher spin representation of so6(C)is⊙^(k)C_(4)and the higher spin operator D_(k) acts on⊙^(k)C_(4)-valued *** this paper,the authors establish the Bochner-Martinelli formula for higher spin operator Dk of several R^(6)*** embedding of R^(6n) into the space of complex 4n×4 matrices allows them to use two-component notation,which makes the spinor calculus on R^(6n)more concrete and explicit.A function annihilated by D_(k ) is called *** give the Penrose integral formula over R^(6n) and construct many k-monogenic polynomials.

关键词： Higher spin operator k-Monogenic Bochner-Martinelli formula Pen-rose integral formula