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MULTIPLICITY OF POSITIVE SOLUTIONS FOR SINGULAR ELLIPTIC SYSTEMS WITH CRITICAL SOBOLEV-HARDY AND CONCAVE EXPONENTS

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Acta Mathematica Scientia 2011年第3期31卷 791-804页

作者： Tsing-san Hsu Huei-lin Li Center for General Education Chang Gung University

In this paper,we consider a singular elliptic system with both concave non-linearities and critical Sobolev-Hardy growth terms in bounded *** means of variational methods,the multiplicity of positive solutions to this... 详细信息

关键词： elliptic system critical Sobolev-Hardy exponent concave exponents Nehari manifold

Mechanism of action of linggui Zhugan Decoction in treating non-alcoholic fatty liver disease using untargeted metabolomics approach

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Traditional Medicine Research 2025年第2期10卷 65-76页

作者： Huan Pei ren-lin Li Xin-Ran Song Qian-Qian Wan Yu-Ming Wang Han-Zhou Li Wei-Quan Xu Jia-Bao Liao Wei-Bo Wen Jing Miao Huan-Tian Cui School of Basic Medicine Yunnan University of Chinese MedicineKunming 650599China School Clinical Medical College Yunnan University of Chinese MedicineKunming 650599China First School of Clinical Medicine Yunnan University of Chinese MedicineKunming 650599China School of Integrative Chinese and Western Medicine Tianjin University of Traditional Chinese MedicineTianjin 301617China Department of Pharmacy Tianjin Second People's HospitalTianjin 300192China

Background:Non-alcoholic fatty liver disease(NAFLD)is a liver disorder characterized by the accumulation and degeneration of fat in the liver cells,a condition that may further deteriorate and lead to cirrhosis and liver *** studies showed that metabolic dysfunction can promote NAFLD *** Zhugan Decoction(LGZGD)has therapeutic effects on *** mechanism of LGZGD still remains *** study was to examine the impact of LGZGD on the metabolic processes involved in the development of ***:A mice model of NAFLD was treated with *** therapeutic potential of LGZGD was evaluated by assessing the activity of transaminases,lipids levels of blood,and pathological changes in the liver of the mice model of ***,this study also evaluated the influence of LGZGD on liver inflammation and oxidative ***:The results of untargeted metabolomics analysis showed that LGZGD reduced the disordered lipid metabolism in NAFLD *** improved the oxidative stress and also reduced the levels of pro-inflammatory cytokines in the *** metabolomics analysis of liver samples revealed that LGZGD treatment improved metabolic disorders,including alanine,aspartate,glutamate,glycerophospholipid metabolism,and citrate *** RT-qPCR and Western blot results showed that LGZGD could regulate the expression of key enzymes in the metabolic pathway of the citrate cycle,including ATP-citrate lyase(ACLY),alanine-glyoxylate aminotransferase-2(AGXT2),phosphatidylethanolamine N-methyltransferase(PEMT),and succinate dehydrogenase(SDH).Conclusion:We found that LGZGD can treat NAFLD by reducing inflammatory responses,inhibiting oxidative stress,regulating alanine,aspartate,glutamate,and glycerophospholipid metabolism,and citrate cycle pathways.

关键词： NAFLD LGZGD untargeted metabolomics glycerophospholipid metabolism citrate cycle

Topology optimization of piezocomposite resonator for maximizing excitation strength and synthesizing desired eigenmodes

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Acta Mechanica Solida Sinica 2017年第5期30卷 531-539页

作者： Xuansheng Wang Zheqi lin Yiru ren School of Software Engineering Shenzhen Institute of Information Technology Shenzhen 518172 China Shenzhen Research Institute of Sun Yat-sen University Shenzhen 518057 China College of Mechanical and Vehicle Engineering Hunan University Changsha 410082 China

A topology optimization method is proposed for the design of piezocomposite resonator with the aim of maximizing excitation strength and synthesizing desired eigenmodes. The objective function consists of maximizing the electromechanical coupling strength at the mode of interest. The topology layout of a structure with desired eigenmodes is obtained by adding the modal assurance criterion as additional constraint in the topology optimiza- tion model. Numerical examples are presented and the results illustrate that aside from maximizing the electromechanical coupling strength, the existing eigenmode of the piezo- composite resonator can be modified to be the desired one at the mode of interest.

关键词： Topology optimizationPiezocomposite resonatorFinite element methodElectromechanical couplingcoefficientModal assurance criterion

New Perspective to Isogeometric Analysis:Solving Isogeometric Analysis Problem by Fitting Load Function

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Computer Modeling in Engineering & Sciences 2023年第9期136卷 2957-2984页

作者： Jingwen ren Hongwei lin School of Mathematical Sciences Zhejiang UniversityHangzhou310058China State Key Lab.of CAD&CG Zhejiang UniversityHangzhou310058China

Isogeometric analysis(IGA)is introduced to establish the direct link between computer-aided design and *** is commonly implemented by Galerkin formulations(isogeometric Galerkin,IGA-G)through the use of nonuniform rational B-splines(NURBS)basis functions for geometric design and *** promising approach,isogeometric collocation(IGA-C),working directly with the strong form of the partial differential equation(PDE)over the physical domain defined by NURBS geometry,calculates the derivatives of the numerical solution at the chosen collocation *** a typical IGA,the knot vector of the NURBS numerical solution is only determined by the physical domain.A new perspective on the IGAmethod is proposed in this study to improve the accuracy and convergence of the *** the PDE with IGA can be regarded as fitting the load function defined on the NURBS geometry(right-hand side)with derivatives of the NURBS numerical solution(left-hand side).Moreover,the design of the knot vector has a close relationship to theNURBS functions to be fitted in the area of data fitting in geometric ***,the detected feature points of the load function are integrated into the initial knot vector of the physical domainto construct thenewknot vector of thenumerical ***,they are connected seamlessly with the IGA-C framework for its great potential combining the accuracy and smoothness merits with the computational efficiency,which we call isogeometric collocation by fitting load function(IGACL).In numerical experiments,we implement our method to solve 1D,2D,and 3D PDEs and demonstrate the improvement in accuracy by comparing it with the standard IGA-C *** also verify the superiority in the accuracy of our knot selection scheme when employed in the IGA-G method,which we call isogeometric Galerkin by fitting load function(IGA-GL).

关键词： Isogeometric analysis collocation methods feature point detection knot vector

Melting and floating processes of inorganic materials in molten steel:Visualization physical simulation and mathematical modelling

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China Foundry 2023年第2期20卷 89-98页

作者： Jin-hu Lai Sheng Yu Yang-jian Xu Dan-qing Jiang san-san Shuai Jiang Wang Zhong-ming ren State Key Laboratory of Advanced Special Steel School of Materials Science and EngineeringShanghai UniversityShanghai 200444China Shaoxing Institute of Technology Shanghai UniversityShaoxing 312000ZhejiangChina

It has been demonstrated that heat absorption method by using the inorganic material rod to cool the molten steel can significantly reduce the macrosegregation level of the large steel ***,owing to the opacity of the molten steel,the physical mechanism of the heat absorption method is not *** this work,a transparent hydraulic physical model with water and paraffin wax was built to simulate the melting and floating processes of inorganic materials in the molten steel.A mathematical simulation was also carried out to analyze the connection between the actual ingot and the physical *** show that it is feasible to simulate the molten steel and inorganic materials with water and paraffin *** the help of the physical model,the process of the melting of paraffin wax and its floating to the surface of water were clearly observed,during which the temperature of water at some characteristic positions in the mold was *** visualization findings demonstrate that the melting and floating processes of paraffin wax can help to bring the heat from the center of the mold to the top surface more quickly,which reduces the superheat and significantly accelerates the cooling rate of *** experimental results show that for the water with a certain superheat,the use of a larger mass of paraffin wax can accelerate the cooling of the water,but there is a risk of incomplete melting of the paraffin wax.A higher superheat of water will lead to a quicker melting rate for a given mass of paraffin wax,while a lower superheat leads to the incomplete melting of paraffin wax as well.

关键词： water and paraffin wax heat absorption method physical simulation superheat large steel ingot

Topology optimization design of micro-mass sensors for maximizing detection sensitivity

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Acta Mechanica Sinica 2015年第4期31卷 536-544页

作者： Zheqi lin Xuansheng Wang Yiru ren School of Information Science and Technology Sun Yat-sen University Shenzhen Research Institute of Sun Yat-sen University Sun Yat-sen University College of Mechanical and Vehicle Engineering Hunan University

Micro-mass sensors have attracted increasing attention in the field of biomolecular and chemical detec- tion. It has been found that the size, shape, and geometry of the structure may affect the performance of the sensor. As a result, a topology optimization methodology is proposed in this paper for the design of micro-mass sensors. A phase- field function controlled by nodal variables and finite element shape functions is used to describe the configuration of a sen- sor in the constructed optimization problem. The design goal is to maximize the mass detection sensitivity. On the basis of these formulations, an optimization algorithm is constructed using the finite element method and the method of moving asymptotes. Numerical examples are presented to demon- strate the validity of the proposed problem formulation. The results suggest that the performance of the micro-mass sensor can be improved by using the proposed approach.

关键词： Topology optimization Mass detectionsensitivity Finite element method Phase-field functionMicro-mass sensor

Multi-leader multi-follower coordination with cohesion, dispersion, and containment control via proximity graphs

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Science China(Information Sciences) 2017年第11期60卷 109-128页

作者： Fei CHEN Wei ren Zongli lin Department of Automation Xiamen University Department of Electrical and Computer Engineering University of CaliforniaRiverside CA 92521 USA Charles L.Brown Department of Electrical and Computer Engineering University of Virginia

This paper studies the problem of multi-leader multi-follower coordination with proximity-based network topologies. The particular interest is to drive all the followers towards the convex hull formed by the moving leaders while producing cohesion behavior and keeping group dispersion. First, in the case of stationary leaders, we design a gradient-based continuous control algorithm. We show that with this continuous algorithm the control objective can be achieved, and the tracking error bound can be controlled by tuning some control parameters. We apply the continuous control algorithm to the moving leaders case and show that the tracking error bound is related to the velocities of the leaders. However, in this case, the algorithm has one restriction that the velocities of the leaders should depend on neighboring followers’ velocities, which might not be desirable in some scenarios. Therefore, we propose a nonsmooth algorithm for moving leaders which works under the mild assumption of boundedness of leaders’ velocities. Finally, we present numerical examples to show the validity of the proposed algorithms.

关键词： cooperative control multi-agent system containment control cohesion dispersion collision-free movement

GAGMS: a requirement-driven general address generation and management system

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Science China(Information Sciences) 2018年第9期61卷 126-140页

作者： Ying LIU lin HE Gang ren Institute for Network Sciences and Cyberspace Tsinghua University Tsinghua National Laboratory for Information Science and Technology

IPv6 address generation is closely related to the manageability, security, privacy protection, and traceability of the Internet. There are many kinds of IPv6 address generation and configuration methods in the area of Internet standards and research that may cause certain problems, including the mixed operation problem of multiple IPv6 address generation schemes, the synchronization problem of the change in IPv6 address, the efficiency problem of processing large-scale concurrent IPv6 address requests, and the general model problem for mapping IPv6 addresses to other requirement spaces as identifiers. In this paper, we consider generating and managing IPv6 addresses according to network requirements. After conducting a requirement analysis of most proposed address generation schemes, we propose a general address generation model and a general address management system, which are the cores of the general address generation and management system(GAGMS). This system solves the above problems under the premise of maintaining the diversity and flexibility of the existing IPv6 address generation and configuration methods and allows networks to utilize different address generation schemes according to different requirements in different scenarios. Finally, we design a prototype system and evaluate our GAGMS to demonstrate its effectiveness,manageability, and scalability, and we have conducted trial deployment in campus networks and are trying to standardize this work in IETF.

关键词： IPv6 address generation IPv6 address management requirement analysis DHCPv6 SLAAC

WALL EFFECTS ON FLOWS PAST TWO TANDEM CYlinDERS OF DIFFErenT DIAMETERS

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Journal of Hydrodynamics 2012年第1期24卷 1-10页

作者： JIANG ren-jie lin Jian-zhong State Key Laboratory of Fluid Power Transmission and Control Zhejiang UniversityHangzhou 310027China China Jiliang University Hangzhou 310018China

Flows past two tandem cylinders of different diameters placed centrally in a channel with fixed centre-to-centre spacing 6D and diameter ratio are simulated based on the Lattice Boltzmann Method（LBM）.In all the simulations,the diameter of the smaller cylinder is chosen as the characteristic *** Reynolds number based on the average inflow velocity is 20-120 and studies are over the range of blockage ratio *** both Small-Big Arrangement（SBA）and Big-Small Arrangement（BSA）,the effects of the channel width and Reynolds number on the flow structures and force coefficients are *** show that the flows in BSA are more regular than those in SBA for the same flow *** BSA with and,the force coefficients all fluctuate with constant amplitudes and a coupled frequency,the coupled frequency becomes small as the blockage ratio decreases and by an exact test we give out the relation of the blockage ratio and Strouhal *** the blockage ratio decreases to 2,there exist pitchfork bifurcations in both SBA and BSA,and results show that the critical Reynolds numbers of pitchfork bifurcations for SBA and BSA are both between 60 and *** SBA with,the flow structure has a static asymmetric *** is found that the channel width has also an effect on the critical spacing where the flow changes from single body mode into co-shedding *** an accurate survey on flows past two cylinders with equal diameters placed inside a channel with the width,the relation between channel width and the critical spacing is given and results show that the critical spacing increases as the channel width increases.

关键词： two tandem cylinders different diameters blockage ratio critical spacing Lattice Boltzmann Method(LBM)