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Quasi-triangular Hopf algebras and invariant Jacobians

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Science China Mathematics 2017年第3期60卷 421-430页

作者： chen xiaoyu Institute of Mathematics Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing 100190 China

We show that two module homomorphisms for groups and Lie algebras established by Xi(2012)can be generalized to the setting of quasi-triangular Hopf *** module homomorphisms played a key role in his proof of a conjecture of Yau(1998).They will also be useful in the problem of decomposition of tensor products of ***,we give another generalization of result of Xi(2012)in terms of Chevalley-Eilenberg complex.

关键词： quasi-triangular Hopf algebra universal R-matrix quantum group invariant Jacobian

New method for constructing array sets with zero-correlation zone

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Journal of Systems Engineering and Electronics 2013年第6期24卷 925-930页

作者： xiaoyu chen chengqian Xu College of Information Science and Engineering Yanshan University

A new method to construct shift sequence sets is presented. Different shift sequence sets are obtained by changing parameters of the shift sequence. Based on these shift sequence sets, multiple shift distinct array sets with zero-correlation zone （ZCZ） can be obtained by utilizing interleaving technique. It is shown that the resultant ZCZ array sets are optimal or almost optimal with respect to the Tang, Fan, and Matsufuji bound. Compared with previous methods, the proposed method extends the number of shift distinct ZCZ array sets.

关键词： array set interleaving technique shift sequence zerocorrelation zone (ZCZ)

The decomposition of permutation module for infinite Chevalley groups

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Science China Mathematics 2021年第5期64卷 921-930页

作者： xiaoyu chen Junbin Dong Department of Mathematics Shanghai Normal UniversityShanghai 200234China School of Mathematical Sciences Tongji UniversityShanghai 200092China

Let G be a connected reductive group defined over F_q, the finite field with q elements. Let B be a Borel subgroup defined over F_q. In this paper, we completely determine the composition factors of the induced module... 详细信息

关键词： reductive group abstract representation permutation module flag variety

Fabrication of Core-Shell Hydrogel Bead Based on Sodium Alginate and Chitosan for Methylene Blue Adsorption

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Journal of Renewable Materials 2024年第4期12卷 815-826页

作者： xiaoyu chen School of Material Engineering Jinling Institute of TechnologyNanjing211169China

A novel core-shell hydrogel bead was fabricated for effective removal of methylene blue dye from aqueous *** core,made of sodium alginate-g-polyacrylamide and attapulgite nanofibers,was cross-linked by Calcium ions(Ca^(2+)).The shell,composed of a chitosan/activated carbon mixture,was then coated onto the *** transform infrared spectroscopy confirmed the grafting polymerization of acrylamide onto sodium *** electron microscopy images showed the core-shell *** core exhibited a high water uptake ratio,facilitating the diffusion of methylene blue into the *** the diffusion process,the methylene blue was first adsorbed by the shell and then further adsorbed by the *** tests showed that the coreshell structure had a larger adsorption capacity than the core *** shell effectively enhanced the adsorption capacity to methylene blue compared to the single *** blue was adsorbed by activated carbon and chitosan in the shell,and the residual methylene blue diffused into the core and was further adsorbed.

关键词： Core-shell structure hydrogel bead attapulgite nanofiber sodium alginate polyacrylamide methylene blue adsorption material

Alginate Composite Hydrogel Bead with Multilayer Flake Structure for Dye Adsorptions

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Journal of Renewable Materials 2019年第10期7卷 983-996页

作者： xiaoyu chen Jie Zhu School of Material Engineering Jinling Institute of TechnologyNanjing211169China

With the rapid development of textile industry,a large amount of dye-contaminated effluents was produced and caused serious environmental *** remove the dye from effluents,adsorption materials have been applied because of their relatively cheap,high efficiency,and easy *** this study,a novel composite hydrogel bead with unique multilayer flake structure was fabricated by alginate,acrylamide and attapulgite for dye *** was grafted polymerization onto alginate to obtain alginate-g-poly(acrylamide).Then alginate-g-poly(acrylamide)was cross-linked by Ca2+ions in present of attapulgite to form composite hydrogel *** electron microscopy(SEM)results show that the freeze dried composite hydrogel bead has multilayer flake structure incorporating *** transform infrared spectroscopy(FTIR)and Thermo-gravimetric analysis(TGA)results indicate that acrylamide has been successfully grafted polymerization on sodium *** polymerization of acrylamide onto sodium alginate obviously enhances the swelling of hydrogel *** of attapulgite into hydrogel bead effectively enhances the adsorption capacity to methylene blue and the maximum adsorption capacity is 155.7 mg *** flake structure increases the adsorption area for methylene blue,but hinders the diffusion of methylene blue into the inner of composite hydrogel *** pH solution is beneficial to the ***-second order model and Fraundlinch model best describe the adsorption kinetic and isotherm,*** results indicate that composite hydrogel bead is a promising adsorption material for dye-contaminated water treatment.

关键词： Composite hydrogel attapulgite alginate acrylamide methylene blue adsorption material

Novel soliton molecule solutions for the second extend(3+1)-dimensional Jimbo-Miwa equation in fluid mechanics

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Communications in Theoretical Physics 2023年第12期75卷 25-43页

作者： Hongcai Ma xiaoyu chen Aiping Deng Department of Applied Mathematics Donghua UniversityShanghai 201620People’s Republic of China

The main aim of this paper is to investigate the different types of soliton molecule solutions of the second extend(3+1)-dimensional Jimbo-Miwa equation in a *** different localized waves:line solitons,breather waves,lump solutions and resonance Y-type solutions are obtained by the Hirota bilinear method ***,the molecule solutions consisting of only line waves,breathers or lump waves are generated by combining velocity resonance condition and long wave limit ***,the molecule solutions such as line-breather molecule,lump-line molecule,lump-breather molecule,*** of different waves are ***,higher-order molecule solutions composed of only line waves are acquired.

关键词： second extend(3+1)-dimensional Jimbo-Miwa equation N-soliton solution velocity resonance soliton molecule solution

Selection and modification of ground motion records using Newmark-Hall spectrum as target spectrum for long-period structures

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Earthquake Engineering and Engineering Vibration 2023年第1期22卷 117-134页

作者： Fu Jianyu Wang Dongsheng Zhang Rui chen xiaoyu School of Civil and Transportation Engineering Hebei University of TechnologyTianjin 300401China School of Civil Engineering Dalian Jiaotong UniversityDalian 116028China Institute of Road and Bridge Engineering Dalian Maritime UniversityDalian 116026China

Input ground motions have significant impacts on the uncertainty of structural responses in time-history *** this study,records were selected and scaled for the evaluation of mean structural responses according to the target *** Newmark-Hall spectrum is closely related to seismic response of short,medium and long-period structures,so it was taken as the target spectrum *** nonlinear time-history analyses of 9-story and 20-story steel moment-resisting frame structures were carried out as *** represent medium and long-period buildings,*** target spectra with risk of 50%,10%and 2%probabilities for exceedance in 50 years were calculated by the average Newmark-Hall spectrum method for three ground motion sets developed in the SAC Steel *** predicted structural mean responses of these Newmark-Hall spectra were compared with those calculated by the average spectral acceleration method for the same record *** is found that both methods have similar accuracy for estimating the structural mean ***,the method proposed herein is more effective in reducing the variability of the structural ***,the proposed method is more advantageous for the time-history analysis of long-period structures or structures with more severe nonlinear responses under strong seismic excitations.

关键词： time-history analysis selection and modification of ground motions target spectrum Newmark-Hall spectrum steel moment resisting frame structure

Effect of Miocene basaltic volcanism in Shanwang (Shandong Province, China) on environmental changes

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Science China Earth Sciences 2007年第12期50卷 1823-1827页

作者： GUO ZhengFu LIU JiaQi chen xiaoyu Institute of Geology and Geophysics Chinese Academy of Sciences Beijing 100029 China Institute of Geology and Geophysics Chinese Academy of Sciences Beijing 100029 China Institute of Geology and Geophysics Chinese Academy of Sciences Beijing 100029 China

Miocene(16―10 Ma) basalts,together with significantly well-preserved fossils(including animal and plant fossils) in the contemporaneously tephra-rich Maar sediments,are located in Shanwang volcanic region,Shandong Province,*** area of the basaltic eruption products is about 240 *** field observations indicate that most of basaltic rocks are fissure eruptive products and some are central eruptives constrained by linear *** well-preserved fossils in the lacustrine deposits have been considered to be a result of mass *** on physically volcanologic modeling results,eruption column of the basaltic fissure activities in the Shanwang volcanic region is estimated to have entered the *** observations indicate that the basalts have porphyritic textures with phenocrysts of olivine,pyroxene,plagioclase feldspar and alkali feldspar setting in groundmass of plagioclase feldspar,alkali feldspar,quartz,apatite and *** on observations of tephra,tuff and tuffites collected in the Maar sediments of the Shanwang area,we determined major element oxide concentrations and volatile composition of melt inclusions in phenocrysts and matrix glasses by electron microprobe ***(including S,Cl,F and H2O) concentrations erupted into the stratosphere were estimated by comparing pre-and post-eruptive volatile *** determination results show that contents of S,Cl,F and H2O emitted into the stratosphere were 0.18%― 0.24%,0.03%―0.05%,0.03%―0.05% and 0.4%―0.6%,respectively,which was characterized by high-S contents *** of volatiles emitted in the Shanwang volcanic region are much higher than those in eruptions which had a substantial effect on climate and *** to the com-positions and amounts of the volatiles erupted from the Miocene basaltic volcanism in Shanwang,we propose a hypothesis that volatile-rich basaltic volcanism could result in the mass mortalities by in-jectin

关键词： volcanic volatiles, paleo-environment, acid rain, basalt, Shanwang

Cascaded four-wave mixing all-optical wavelength converter based on highly nonlinear fiber deposited graphene oxide

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Journal of Materials Science & Technology 2024年第4期171卷 10-15页

作者： Yuanhongliu Gao xiaoyu chen Tonglei cheng Fang Wang Xin Yan College of Information Science and Engineering State Key Laboratory of Synthetical Automation for Process IndustriesNortheastern UniversityShenyang 110819China

The all-optical wavelength conversion using cascaded four-wave mixing(FWM)phenomena with graphene oxide(GO)and a highly nonlinear fiber(HNLF)device is demonstrated *** has a strong third-order nonlinear effect and is an excellent nonlinear optical material for nonlinear optical wavelength *** group velocity matching of pump and signal,HNLF,and GO amplification promote the cascaded nonlinear frequency mixing *** the experimental and analytical results,the maximum spacing between signal and pump is 21 nm,and specifically,the order of cascaded FWM light increases from order 1 to order 2 with increasing GO,and the first-order FWM conversion effi-ciency increases to a maximum of−14.5 *** the best of our knowledge,this is the first time that cascaded FWM-based all-optical wavelength conversion in HNLF-GO with wide wavelength selectivity is investigated with combined pump and signal *** findings not only provide an effective method for achieving all-optical wavelength conversion in cascaded FWM but also offer the possibility of fabricating high-performance nonlinear optical devices.

关键词： Four-wave mixing Graphene oxide Highly nonlinear fiber Optical wavelength conversion