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Well-Posedness and Structural Stability on a System of Simultaneous Generalized Vector Quasi-Equilibrium Problems

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Journal of the Operations Research Society of China 2021年第1期9卷 151-161页

作者： xi-Cai Deng Wen-Sheng Jia Yan-long Yang Department of Mathematics and Computer Guizhou Normal CollegeGuiyang 550018China Department of Mathematics Guizhou UniversityGuiyang 550025China

In this paper,we establish the stable results for a system of simultaneous general-ized vector quasi-equilibrium problems(SSGVQEP)by using its bounded rationality *** the abstract frame,a unified well-posedness on Hadamard types and Tikhonov types well-posedness for SSGVQEP is ***,sufficient condition for the well-posedness of SSGVQEP is ***,we prove that the majority(in Baire category sense)of SSGVQEP is structural stability.

关键词： Hadamard well-posedness Tikhonovwell-posedness Structural stability Bounded rationality

Swelling characteristics of soils derived from black shales heightened by cations in Northern Chongqing,China

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Journal of Mountain Science 2016年第6期13卷 1107-1119页

作者： LI xiao-ning ZHU Bao-long WU xi-yong Department of Geological Engineering Southwest Jiaotong University School of Civil Engineering and Architecture Southwest University of Science and Technology

Black shale is widely distributed in southern and western *** swelling and breakdown characteristics of black shale are important physicomechanical properties in engineering *** solutions with different compositions exert various influences on the swelling characteristic of black shale because of the complexity of its *** derived from black shale are most commonly developed on black shales with bedded horizons that generally have cutting and weathering *** paper reports an axial free swelling study for soils derived from black shales and developed in the Lower Cambrian black shales in Chengkou County,Chongqing Municipality,Southwest *** discuss the swelling characteristics of black shale under the influence of cations,an axial free swelling test was conducted on black shale samples while considering the initial water content,weathering stage of black shale,and different cationic solutions with various *** showed that the swelling deformation curve of black shale could be divided into three phases:acceleration,deceleration,and *** axial swelling ratio eventually decreased with increasing water content,and the axial free swelling rate changed with the free expansion model of the exponential *** a constant initial water content,the axial swelling rate increased with the intensity of black shale weathering in the same immersion *** different types of immersion solutions were used,the cationic price was high and the axial swelling rate increased with rising cation *** changes in the swelling ratio were significant at a valence of one or *** results of this study provide further understanding of the engineering geological characteristics of black shale and the geological hazards caused by the swelling characteristics of black shale.

关键词： Black shale Swelling rate Swelling force Cation

The Effect of Planting Oilseed Rape and Compost Application on Heavy Metal Forms in Soil and Cd and Pb Uptake in Rice

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Agricultural Sciences in China 2011年第2期10卷 267-274页

作者： WU Fei-long LIN dai-yan SU De-chun College of Resources and Environmental Sciences China Agricultural UniversityBeijing 100193P.R.China Institute of Agricultural Engineering Fujian Academy of Agricultural SciencesFuzhou 350013P.R.China

Pot experiments were conducted under greenhouse condition to investigate whether Cd and Pb uptake by rice could be reduced when it was rotated with oilseed rape and compost *** results showed that the rice grown after oilseed rape had significantly lower Cd and Pb concentrations in both straw and *** and Pb concentrations in the grains of the rice rotated with oilseed rape decreased by approximately 46-80% and 17-86%,respectively,although the Cd and Pb removal by oilseed rape ranged only from 2.39-3.67 and 0.032-0.13% of the total content in *** amendment also decreased the bioavailability of Cd and Pb in the soil and reduced Cd and Pb uptake by oilseed rapes and *** concentrations of Cd and Pb significantly decreased in the exchangeable and carbonate fractions and Pb concentration decreased in the organic matter and sulfide fractions in the contaminated soil after planting oilseed rapes.

关键词： heavy metal crop rotation compost oilseed rape rice

Microstructure and Mechanical Properties of High Manganese TRIP Steel

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Journal of Iron and Steel Research International 2012年第4期19卷 57-62页

作者： ZHAO Jin-long xi Yan SHI Wen LI Lin College of Material Science and Engineering Shanghai University Shanghai 200072 China

Microstructure evolution and mechanical properties of newly designed 0.1C-6Mn-0.5Si-1Al TRIP-aided steels under different annealing conditions and the effects of matrix microstructure before intercritical annealing on the final microstructure were studied by means of X-ray diffraction（XRD）,scanning electron microcopy（SEM）,dilatometric simulation,optical microstructure（OM） and tensile testing in this *** experimental results indicate that the TRIP steel with Mn of 6% could form a considerable amount of retained austenite with good TRIP effect after a simple intercritical annealing treatment,and the matrix microstructure before intercritical annealing treatment can greatly affect the final *** original microstructure of the ferritic matrix steel was eliminated,while annealed martensite was remained from the martensite matrix steel under the same intercritical annealing conditions

关键词： high manganese TRIP steel intercritical annealing microstructure mechanical properties

An Accelerated Proximal Gradient Algorithm for Hankel Tensor Completion

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Journal of the Operations Research Society of China 2024年第2期12卷 461-477页

作者： Chuan-long Wang xiong-Wei Guo xi-Hong Yan Key Laboratory of Engineering and Computational Science Shanxi Provincial Department of EducationJinzhong 030619ShanxiChina Department of Mathematics Taiyuan Normal UniversityJinzhong 030619ShanxiChina

In this paper,an accelerated proximal gradient algorithm is proposed for Hankel tensor completion *** our method,the iterative completion tensors generated by the new algorithm keep Hankel structure based on projection on the Hankel tensor ***,due to the special properties of Hankel structure,using the fast singular value thresholding operator of the mode-s unfolding of a Hankel tensor can decrease the computational ***,the convergence of the new algorithm is discussed under some reasonable ***,the numerical experiments show the effectiveness of the proposed algorithm.

关键词： Hankel tensor Tensor completion Accelerated proximal gradient algorithm

Distribution characteristics of dissolved organic carbon in annular wetland soil-water solutions through soil profiles in the Sanjiang Plain,Northeast China

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Journal of Environmental Sciences 2007年第9期19卷 1074-1078页

作者： xi Min LU xian-guo LI Yue KONG Fan-long Northeast Institute of Geography and Agricultural Ecology Chinese Academy of Sciences Changchun 130012 China. College of Chemical and Environmental Engineering Qingdao University Qingdao 266071 China Graduate School of the Chinese Academy of Sciences Beijing 100039 China

Overwhelming evidence reveals that concentrations of dissolved organic carbon （DOC） have increased in streams which brings negative environmental impacts. DOC in stream flow is mainly originated from soil-water solutions of watershed. Wetlands prove to be the most sensitive areas as an important DOC reserve between terrestrial and fluvial biogeosystems. This reported study was focused on the distribution characteristics and the controlling factors of DOC in soil-water solutions of annular wetland, i.e., a dishing wetland and a forest wetland together, in the Sanjiang Plain, Northeast China. The results indicate that DOC concentrations in soilwater solutions decreased and then increased with increasing soil depth in the annular wetland. In the upper soil layers of 0-10 cm and 10-20 cm, DOC concentrations in soil-water solutions linearly increased from edge to center of the annular wetland （R^2 = 0.3122 and R^2 = 0.443）. The distribution variations were intimately linked to DOC production and utilization and DOC transport processes in annular wetland soil-water solutions. The concentrations of total organic carbon （TOC）, total carbon （TC） and Fe（II）, DOC mobility and continuous vertical and lateral flow affectext the distribution variations of DOC in soil-water solutions. The correlation coefficients between DOC concentrations and TOC, TC and Fe（II） were 0.974, 0.813 and 0.753 respectively. These distribution characteristics suggested a systematic response of the distribution variations of DOC in annular wetland soil-water solutions to the geometry of closed depressions on a scale of small catchments. However, the DOC in soil pore water of the annular wetland may be the potential source of DOC to stream flow on watershed scale. These observations also implied the fragmentation of wetland landscape could bring the spatial-temporal variations of DOC distribution and exports, which would bring negative environmental impacts in watersheds of the Sanjiang Plain.

关键词： dissolved organic carbon (DOC) distribution characteristics annular wetland soil-water solutions Sanjiang Plain

Implementation of LDA+ Gutzwiller with Newton's method

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Chinese Physics B 2017年第1期26卷 391-398页

作者： Jian Zhang Ming-Feng Tian Guang-xi Jin Yuan-Feng Xu xi dai Beijing National Laboratory for Condensed Matter Physics Institute of Physics Chinese Academy of Sciences Beijing 100190 China LCP Institute of Applied Physics and Computational Mathematics Beijing 100088 China CAEP Software Center for High Performance Numerical Simulation Beijing 100088 China Institute of Nuclear Physics and Chemistry China Academy of Engineering Physics Mianyang 621900 China

In order to calculate the electronic structure of correlated materials, we propose implementation of the LDA＋Gutzwiller method with Newton＇s method. The self-consistence process, efficiency and convergence of calculation are improved dramatically by using Newton＇s method with golden section search and other improvement *** compare the calculated results by applying the previous linear mix method and Newton＇s method. We have applied our code to study the electronic structure of several typical strong correlated materials, including SrVO3, LaCoO3, and La2O3Fe2Se2. Our results fit quite well with the previous studies.

关键词： LDA+Gutzwiller strongly correlated electrons Newton's method

Impact of the Three Gorges Project operation on the water exchange between Dongting Lake and the Yangtze River

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International Journal of Sediment Research 2017年第4期32卷 506-514页

作者： Minglong dai Jun Wang Mingbo Zhang xi Chen School of Hydropower & Information Engineering Huazhong University of Science and Technology Bureau of Hydrology Changjiang Water Resources Commission

The Three Gorges Project（TGP） is a world known project to utilize and manage the water resources of the Yangtze River. The reservoir stores water at the end of the flood season, and replenishes downstream reaches with water in dry seasons. In addition to such benefits, the TGP has irreversibly changed the hydrological process and the river-lake relation of the middle and lower reaches. In this paper, a hydrodynamic model was established to quantify the impact of the TGP’s operation on the water exchange between Dongting Lake and the Yangtze River during 2009-2013. The results indicated that:the operation of the TGP has considerably reduced the peak discharge and the flood volume of the main stream and the Dongting Lake area. The inflow volume from the Yangtze River to Dongting Lake via three outlets decreased by 1.9-3.5 billion m;/yr, while the outflow volume from Dongting Lake to the Yangtze River at Chenglingji increased by 0.3-1.6 billion m;in September and 0.4-0.6 billion m;in October,respectively. This research provides valuable information for flood control, irrigation, and water allocation in the middle and lower reaches of the Yangtze River, and serves as a typical case for investigating the impact of other hydropower projects around the world.

关键词： Three Gorges Project Yangtze River Dongting Lake Three outlets diversion Water exchange

Analysis of bending and buckling of pre-twisted beams:A bioinspired study

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Acta Mechanica Sinica 2014年第4期30卷 507-515页

作者： Zi-long Zhao Hong-Ping Zhao Zheng Chang xi-Qiao Feng Institute of Biomechanics and Medical Engineering AML Department of Engineering MechanicsTsinghua University Center for Nano and Micro Mechanics Tsinghua University

Twisting chirality is widely observed in artificial and natural materials and structures at different length scales. In this paper, we theoretically investigate the effect of twisting chiral morphology on the mechanical properties of elas- tic beams by using the Timoshenko beam model. Particular attention is paid to the transverse bending and axial buckling of a pre-twisted rectangular beam. The analytical solution is first derived for the deflection of a clamped-free beam under a uniformly or periodically distributed transverse force. The critical buckling condition of the beam subjected to its self- weight and an axial compressive force is further solved. The results show that the twisting morphology can significantly improve the resistance of beams to both transverse bending and axial buckling. This study helps understand some phenomena associated with twisting chirality in nature and provides inspirations for the design of novel devices and structures.

关键词： Twisting chirality. Timoshenko beam. Bending.Euler buckling · Bionics