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Fuzzy Stability of Quadratic-cubic Functional Equations

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Acta Mathematica Sinica,English Series 2011年第11期27卷 2191-2204页

作者： zhi Hua wan. wan.Xiong ZHANG Department of Mathematics Sichuan University Chengdu 610064 P. R. China School of Science Hubei University of Technology Wuhan 430068 P. R. China College of Mathematics and Statistics Chongqing University Chongqing 401331 P. R. China

In this paper, the direct method and the fixed point alternative method are implemented to give Hyers-Uiam-Rassias stability of the functional equation 6f（x＋y）-6f（x-y）＋4f（3y）=3f（x＋2y）-3f（x-2y）＋9f（2y） in fuzzy Banach spaces. We can find the range of approximate solutions obtained using the direct method are less than those obtained by using the fixed point alternative method for the above and the functional equation.

关键词： Fuzzy normed space quadratic-cubic functional equation fixed point alternative method Hyers-Ulam-Rassias stability

Equipment selection knowledge base system for industrial styrene process

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Chinese Journal of Chemical Engineering 2018年第8期26卷 1707-1712页

作者： Weimin Zhong Shuming Liu Feng wan.zhi Li Key Laboratory of Advanced Control and Optimization for Chemical Processed of Ministry of Education East China University of Science and Technology

Equipment selection for industrial process usually requires the extensive participation of industrial experts and technologists, which causes a serious waste of resources. This work presents an equipment selection knowledge base system for industrial styrene process(S-ESKBS) based on the ontology technology. This structure includes a low-level knowledge base and a top-level interactive application. As the core part of the S-ESKBS, the low-level knowledge base consists of the equipment selection ontology library, equipment selection rule set and Pellet inference engine. The top-level interactive application is implemented using S-ESKBS, including the parsing storage layer, inference query layer and client application layer. Case studies for the industrial styrene process equipment selection of an analytical column and an alkylation reactor are demonstrated to show the characteristics and implementability of the S-ESKBS.

关键词： Equipment selection Ontology technology Knowledge base system Styrene process

Limited Effect of Twin Boundaries on Radiation Damage

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Acta Metallurgica Sinica(English Letters) 2016年第1期29卷 72-78页

作者： Jin Gao zhi-Jun Liu Fa-Rong wan Department of Materials Physics and Chemistry School of Materials Science and EngineeringUniversity of Science and Technology Beijing

The different influences of the general grain boundary and the twin boundary on the cavity formation were investigated in copper irradiated by helium at room temperature. Large number of the cavities with sizes smaller than 5 nm formed after irradiation, which were almost homogenously distributed inside the grains. However, the distribution of the cavities varied near the general grain boundary and the twin boundary. Cavities-depleted zone was readily observed near the general grain boundaries, which was rarely observed near the twin boundaries. Meanwhile, decoration of dense cavities within the grain boundary plane was observed. The results suggested the limited influence of the twin boundaries as the point defect sinks compared with the general grain boundaries.

关键词： Transmission electron microscopy Cavities Cavities-depleted zone General grainboundary Twin boundary

Generating Even-Photon State via Resonant Interaction Between Ladder-Type Three-Level Atoms with a Single-Mode Field

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Communications in Theoretical Physics 2008年第1期49卷 221-224页

作者： ZHONG zhi-Rong SU wan.Jun Department of Electronic Science and Applied Physics Puzhou University Puzhou 350002 China

A scheme is presented to generate even-photon state based on resonant interaction between ladder-type three-level atoms with a single-mode field. In the scheme, a sequence of suitably prepared ladder-type three-level atoms are orderly sent through a single-mode cavity initiaJly in vacuum state. The detection of a J1 the atoms in the ground states collapses the cavity to the desired state. The scheme is based on the resonant interaction of atoms with the cavity, and thus the required interaction time can be greatly shortened. This is important in view of decoherence.

关键词： even photon state resonant interaction ladder-type atom

Projective Lag Synchronization and Parameter Identification of a New Hyperchaotic System

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International Journal of Automation and computing 2013年第3期10卷 256-259页

作者： wan.Li Guo Ming-zhi Mao School of Mathematics and Physics China University of Geosciences

This work was supported by National Basic Research Program of China （973 program）（No. 2011CB710605）, TianYuan Special Funds of National Natural Science Foundation of China （No. 11226134）, National Natural Scien... 详细信息

关键词： Projective lag synchronization hyperchaotic system parameter identification Lyapunov stability theory LaSalle"s in-variance principle.

Synthesis and Structural Characterization of Di(2-amino-5-methyl-1,8-naphthyridin-1-ium-7-carboxylato)dichlorocuprate(Ⅱ) Dihydrate

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Chinese Journal of Structural Chemistry 2007年第3期26卷 287-290页

作者： JIN Shou-Wen LIU Bin CHEN wan.zhi Department of Chemistry Zhejiang University Xixi Campus Hangzhou 310028 China

Di（2-amino-5-methyl-1,8-naphthyridin-1-ium-7-carboxylato）dichlorocuprate（Ⅱ） di- hydrate has been prepared from 5,7-dimethyl-1,8-naphthyridine-2-amine, CuCl2·2H2O and concentrated hydrochloride acid, and its structure was determined by X-ray diffraction at 298 K. The compound （C20H22Cl2CuN6O6, Mr = 576.88） crystallizes in monoclinic, space group P21/n with a = 9.102（9）, b = 12.150（12）, c = 10.619（10） A,β = 91.20°, V= 1174.1（19） A^3, Z= 2, Dc= 1.632 g/cm^3, F（000） = 590,μ = 1.208 mm^-1, R = 0.0392 and wR = 0.0984. The Cu^2＋ ion is six-coordinated by two nitrogen and two oxygen atoms from two different naphthyridine ligands at the equatorial positions together with two chloride ions located at the axial positions.

关键词： crystal structure copper chloride 5,7-dimethyi-1,8-naphthyridine-2-amine

Primary instabilities and bicriticality in fiber suspensions between rotating cylinders

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Journal of Zhejiang University-Science A(Applied Physics & Engineering) 2007年第9期8卷 1435-1442页

作者： wan.Zhan-hong SUN zhi-lin YOU Zhen-jiang Department of Hydrauhc and Ocean Engineering Zhejiang University. Hangzhou 310028 China School of Informatics and Engineering Flinders University of South Australia Adelaide SA 5001 Australia

The linear stability of fiber suspensions between two concentric cylinders rotating independently is studied. The modified stability equation is obtained based on the fiber orientation model and Hinch-Leal closure approximation. The primary instabilities and bicritical curves have been calculated numerically. The critical Reynolds number,wavenumber and wave speeds of fiber suspensions as functions of the aspect ratio,volume concentration of the fibers and the gap width of cylinders are obtained.

关键词： Fiber suspensions Primary instability Non-axisymmetric disturbances

Omega-Liutex method for the interaction among wave, current and fixed vertical cylinder

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Journal of Hydrodynamics 2023年第1期35卷 83-94页

作者： Bo Han zhi Pan Wei-wen Zhao De-cheng wan Computational Marine Hydrodynamics Lab(CMHL) School of Naval ArchitectureOcean and Civil EngineeringShanghai Jiao Tong UniversityShanghai200240China Wuhan Second Ship Design and Research Institute Wuhan430205China

This paper presents a numerical investigation of the interaction among wave,flow and a fixed cylinder using the naoe-FOAM-SJTU solver,which is a viscous solver for hydrodynamics based on *** simulation considers the strong nonlinear interaction among a regular wave,flow,and a single fixed cylinder due to viscosity,which is common in offshore *** study focus on the vortex induced by viscosity and its significant role in hydrodynamic performance computation.A mesh convergence study is conducted prior to the simulation,and a proper set of mesh is *** simultaneous generation of the regular wave and flow is realized using the numerical field boundary,and the wave propagation is *** results of wave elevation and pressures captured by wave gauges and probes around the fixed cylinder are compared with experiment *** structure of vortices is displayed at significant times,and the phenomena of wave elevation and pressure changes around the cylinder are analyzed in detail using the Omega-Liutex identification method.

关键词： Wave-current interaction vortex Omega-Liutex method naoe-FOAM-SJTU solver numerical simulation

PHOTOINITIATED INVERSE EMULSION POLYMERIZATION OF SODIUM ACRYLATE

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Chinese Journal of Polymer Science 2005年第2期23卷 219-225页

作者： Lian-yingLiu zhi-xingZhang wan.taiYang KeyLaboratoryofScienceandTechnologyofControlla~eChemicalReactions ~MinistryofEducationCollegeofMaterialScienceandTechnologyBeijingUniversityofChemicalTechnologyBeijing100029China

Photoinitiated inverse emulsion polymerization of sodium acrylate(AANa)in kerosene was carried out at room orlower temperature,using 2,2-dimethoxy-2-phenylacetophenone(DMPA)as the *** investigations indicated thatthe polymerization could be completed in about 30 min and produce polymer with high molecular weight(10~6～10~7).It wasfound that monomer droplets are the main sites for the polymerization(nucleation).With the increase of DMPAconcentration,polymerization rate(R_p)reaches a maximum value while molecular weight of the produced polymer has anadverse result,but the dependence of R_p on incident light intensity is *** of other parameters such asmonomer concentration,emulsifier content and reaction temperature,*** also *** lower pH values of waterphase,R_p depends strongly on the pH due to the electrostatic interaction between the ionized radicals and the ***higher pH,R_p shows a slight dependence on pH.

关键词： Photopolymerization Inverse emulsion Sodium acrylate Kinetics.