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Nonexistence of maximizers for the functional of the centroaffine Minkowski problem

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Science China Mathematics 2018年第3期61卷 511-516页

作者： jian lu Department of Applied Mathematics Zhejiang University of Technology

The centroafhine Minkowski problem is studied, which is the critical case of the L_p-Minkowski problem. It admits a variational structure that plays an important role in studying the existence of *** this paper, we fi... 详细信息

关键词： centroaffine Minkowski problem Monge-Ampere equation variational structure Blaschke-Santalo inequality

Anisotropic inverse harmonic mean curvature flow

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Frontiers of Mathematics in China 2014年第3期9卷 509-521页

作者： jian lu Department of Applied Mathematics Zhejiang University of Technology Hangzhou 310032China

We study the evolution of convex hypersurfaces H（., t） with initial H（., 0） = 0H0 at a rate equal to H - f along its outer normal, where H is the inverse of harmonic mean curvature of H（., t）, H0 is a smooth, closed, and uniformly convex hypersurface. We find a θ^＊〉 0 and a sufficient condition about the anisotropic function f, such that if θ 〉 θ^＊, then H（.,t） remains uniformly convex and expands to infinity as t →∞ and its scaling, H（-, t）e^-nt, converges to a sphere. In addition, the convergence result is generalized to the fully nonlinear case in which the evolution rate is log H - log f instead of H - f.

关键词： Curvature flow parabolic equation asymptotic behavior

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The Green

Acta Seismologica Sinica(English Edition) 2001年第2期14卷 196-202页

作者： lu jian-fei jiangsu University of Science and Technology Zhenjiang China Shanghai Jiaotong University Shanghai China

By using integral transform methods, the Green’s functions of horizontal harmonic force applied at the interior of the saturated half-space soil are obtained in the paper. The general solutions of the Biot dynamic equations in frequency domain are established through the use of Hankel integral transforms technique. Utilizing the above-mentioned general solutions, and the boundary conditions of the surface of the half-space and the continuous conditions at the plane of the horizontal force, the solutions of the boundary value problem can be determined. By the numerical inverse Hankel transforms method, the Green’s functions of the harmonic horizontal force are obtainable. The degenerate case of the results deduced from this paper agrees well with the known results. Two numerical examples are given in the paper.

关键词： Asymmetric Biot theory Green's function Hankel transforms

Acoustomechanical constitutive theory for soft materials

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Acta Mechanica Sinica 2016年第5期32卷 828-840页

作者： Fengxian Xin Tian jian lu State Key Laboratory for Strength and Vibration of Mechanical Structures Xi’an Jiaotong University MOE Key Laboratory for Multifunctional Materials and Structures Xi’an Jiaotong University

Acoustic wave propagation from surrounding medium into a soft material can generate acoustic radiation stress due to acoustic momentum transfer inside the medium and material, as well as at the interface between the two. To analyze acoustic-induced deformation of soft materials, we establish an acoustomechanical constitutive theory by combining the acoustic radiation stress theory and the nonlinear elasticity theory for soft materials. The acoustic radiation stress tensor is formulated by time averaging the momentum equation of particle motion, which is then introduced into the nonlinear elasticity constitutive relation to construct the acoustomechanical constitutive theory for soft *** a specified case of soft material sheet subjected to two counter-propagating acoustic waves, we demonstrate the nonlinear large deformation of the soft material and analyze the interaction between acoustic waves and material deformation under the conditions of total reflection, acoustic transparency, and acoustic mismatch.

关键词： Acoustomechanical constitutive theory Acoustic radiation stress Soft material

Effect of shot peening and grit blasting on surface integrity： Influence on residual stresses

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中国有色金属学会会刊：英文版 2006年第A2期16卷 230-235页

作者： K.TOSHA lu jian Department of Mechanical Engineering Meiji University 1-1 - 1 Higashimita Tama-ku Kawasaki 214-8571 Japan Department of Mechanical Engineering Polytechnic University Hung Hom Kowloon Hong Kong

The influences of factors such as particle size (0.55-2.2 mm), particle velocity (15-35 m/s) and thickness of work material on the surface integrity were investigated. The residual stresses induced by shot peening or grit blasting were examined. In order to clarify the influences of those factors on residual stress included in the surface integrity, a medium carbon steel (w(C)= 0.45%, 180 HV) was peened by a centrifugal type peening machine using cast steel particles (650-800 HV). The results show that the compressive residual stresses on the peened surface are larger than those of grit blasting;the critical thickness of shot peening is about 50% thicker than that of grit blasting;the high compressive stresses induced by blasting are owing to the wrought or peening effect.

关键词：喷丸处理喷钢砂处理表面完整性残余应力 X线衍射

Electronic Resonant Splitting in a Nanostructure with Periodic Magnetic-Electric Barriers

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Communications in Theoretical Physics 2008年第3期49卷 783-785页

作者： lu jian-Duo Department of Applied Physics Wuhan University of Science and Technology Wuhan 430081 China

In this letter, the transmission probability and the conductance of the ballistic electron are studied in a nanostructure with the periodic magnetic-electric barriers. We find that the resonant splitting increases with the number of periods increasing, so the number of the resonant peaks increases and the peaks become sharper. For the m-th periodic magnetic-electric barriers tunneling the splitting is （m - 1）-fold.

关键词： magnetic nanostructure resonant splitting magnetic-electronic barriers

Comparative proteomics analysis of tea leaves exposed to subzero temperature:Molecular mechanism of freeze injury

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International Journal of Agricultural and Biological Engineering 2013年第4期6卷 27-34页

作者： Hu Yongguang lu Yongzong lu jian Institute of Agricultural Engineering Jiangsu UniversityZhenjiang 212013JiangsuChina Institute of Life Sciences Jiangsu UniversityZhenjiang 212013JiangsuChina

Tea freeze injury is one of the most severe agro-meteorological disasters,which leads to sizable losses of tea production in *** freezing resistant ability of overwintering tea trees becomes weaker and weaker from early-spring to *** it decreases to critical temperature of-2℃or lower in the stage with one or two leaves,tea trees suffer from freeze injury and the yield or quality of spring tea production could decrease *** measurements have been taken to prevent such damage,the physiological and biochemical mechanism of how tea(Camellia Sinensis)plant response to freeze injury is still to be elucidated.A comparative proteomics analysis was made on tea leaves at the two-leaf *** differential image analysis showed 46 spots with density changes(29 spots increased and 17 spots decreased;plution and relatively high abundance in MS were subjected to further protein *** them,all 17 up-regulated spots were collected whereas only six of the down-regulated spots were *** differentially expressed proteins including heat shock protein 70,oxygen-evolving enhancer protein,adenosine triphosphate synthase,S-adenosylmethionine synthetase and some enzymes involved in carbohydrate metabolism,were shown responsive to freeze *** results would greatly increase the comprehension of the molecular mechanism for freeze injury and provide a better decision making for freeze protection and control.

关键词： freeze injury molecular mechanism freeze protection comparative proteomics Camellia Sinensis mass spectrometry

Metagenomic analysis on resistance genes in water and microplastics from a mariculture system

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Frontiers of Environmental Science & Engineering 2022年第1期16卷 77-89页

作者： jian lu Jun Wu jianhua Wang CAS Key Laboratory of Coastal Environmental Processes and Ecological Remediation Yantai Institute of Coastal Zone Research(YIC)Chinese Academy of Sciences(CAS)Shandong Key Laboratory of Coastal Environmental ProcessesYICCASYantai 264003China Yantai Research Institute Harbin Engineering UniversityYantai 264006China Center for Ocean Mega-Science Chinese Academy of SciencesQingdao 266071China

Microplastics existing widely in different matrices have been regarded as a reservoir for emerging *** systems have been observed to host microplastics and antibiotic resistance genes(ARGs).However,more information on proliferation of ARGs and metal resistance genes(MRGs)in mariculture system at the presence of microplastics is *** study used metagenomic analysis to investigate the distribution of ARGs and MRGs in water and microplastics of a typical mariculture *** 18 types including 174 subtypes of ARGs were detected with the total relative abundances of 1.22/1.25 copies per 16S rRNA copy for microplastics/*** resistance genes were the dominant ARGs with the abundance of 0.35/0.42 copies per 16S rRNA copy for microplastics/*** intI1 was dominant gene among 6 detected mobile genetic elements(MGEs)with the abundance of 75.46/68.70 copies per 16S rRNA copy for water/*** 9 types including 46 subtypes of MRGs were detected with total abundance of 5.02×10^(2)/6.39×10^(2)copies per 16S rRNA copy for water/microplastics while genes resistant to copper and iron served as the dominant ***,Bacteroidetes,and Actinobacteria accounted for 84.2%/89.5%of total microbial community in microplastics/*** with relatively high abundance were significantly positively related to major genera,MGEs,and *** in mariculture system could enrich most of MRGs and some ARGs to serve as potential reservoir for these *** findings of this study will provide important information on resistance gene pollution at presence of microplastics in the mariculture system for further proposing suitable strategy of environmental management.

关键词： Antibiotic resistance genes Metal resistance genes Metagenomic analysis Microplastics Mariculture

Removal of steroid hormones from mariculture system using seaweed Caulerpa lentillifera

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Frontiers of Environmental Science & Engineering 2022年第2期16卷 1-11页

作者： jian lu Cui Zhang Jun Wu CAS Key Laboratory of Coastal Environmental Processes and Ecological Remediation Yantai Institute of Coastal Zone Research(YIC)Chinese Academy of Sciences(CAS)Shandong Key Laboratory of Coastal Environmental ProcessesYICCASYantai 264003China Center for Ocean Mega-Science Chinese Academy of SciencesQingdao 266071China Yantai Research Institute and Graduate School Harbin Engineering UniversityYantai 265501China

The removal of steroid hormones from the mariculture system using seaweeds(Caulerpa lentillifera,Ulva pertusa,Gracilaria lemaneiformis,and Codium fragile)was *** results illustrated that both 17β-estradiol(E_(2))and 17α-ethinylestradiol(EE_(2))could be removed by the seaweeds at different levels,and the Caulerpa lentillifera was the most efficient *** than 90%of E_(2) or EE_(2) at concentration of 10μg/L was removed by Caulerpa lentillifera within 12 *** including initial quick biosorption,the following slow accumulation,and biodegradation might explain the removal mechanisms of E_(2)/EE_(2) by Caulerpa lentillifera.E_(2)/EE_(2) removal was positively related to the nutrient level and the initial concentration of steroid hormone.A significant linear relationship for E_(2) and EE_(2) existed between the initial pollutant concentration and the average removal *** highest removal kinetic constant(k)value was obtained at 30℃as 0.34/h for E_(2) and at 20℃as 0.28/h for EE_(2),demonstrating the promising application potential of Caulerpa lentillifera in the water purification of the industrialized mariculture system with relatively high water *** and efficient removal of E_(2) and EE_(2) by Caulerpa lentillifera was still achieved after 3 cycles in the pilot-scale *** steroid hormones and nutrients in mariculture wastewater could also be simultaneously removed using Caulerpa *** findings demonstrated that Caulerpa lentillifera was the promising seaweed for the removal of steroid hormones in mariculture systems.

关键词： Phycoremediation Steroid hormones Seaweed Mariculture Caulerpa lentillifera