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Singularities of mean curvature flow

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Science China Mathematics 2021年第7期64卷 1349-1356页

作者： Yuanlong xin Institute of Mathematics Fudan UniversityShanghai 200433China

Mean curvature flow and its singularities have been paid attention extensively in recent years. The present article reviews briefly their certain aspects in the author's interests.

关键词： mean curvature flow self-shrinker translating soliton

Uncovering the internal structure of five-fold twinned nanowires through 3D electron diffraction mapping

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Chinese Physics B 2020年第6期29卷 517-531页

作者： xin Fu GRINM Group Corporation Limited National Analysis and Testing Center for Nonferrous Metals and Electronic MaterialsBeijing 101400China Guobiao(Beijing)Testing&Certification Co. Ltd.Beijing 101400China China United Test&Certification Co. Ltd.Beijing 101400China General Research Institute for Nonferrous Metals Beijing 100088China

Five-fold twinned nanostructures are intrinsically strained or relaxed by extended defects to satisfy the space-filling *** both of metallic and semiconductor five-fold twinned nanostructures show inhomogeneity in their cross-sectional strain distribution,the evident strain concentration at twin boundaries in the semiconductor systems has been found in contrast to the metallic ***,a problem is raised how the chemical bonding characteristics of various five-fold twinned nanosystems affects their strain-relieving defect *** using three-dimensional(3D)electron diffraction mapping methodology,the intrinsic strain and the strain-relieving defects in a pentagonal Ag nanowire and a star-shaped boron carbide nanowire,both of them have basically equal radial twin-plane width about 30 nm,are nondestructively *** non-uniform strain and defect distribution between the five single crystalline segments are found in both of the five-fold twinned *** intensity fine structure analysis for the boron carbide five-fold twinned nanowire indicates the presence of high-density of planar defects which are responsible for the accommodation of the intrinsic angular ***,for the Ag five-fold twinned nanowire,the star-disclination strain field is still present,although is partially relieved by the formation of localized stacking fault layers accompanied by partial *** analysis suggests that the variety in the strain-relaxation ways for the two types of five-fold twinned nanowires could be ascribed to the large difference in shear modulus between the soft noble metal Ag and the superhard covalent compound boron carbide.

关键词： five-fold twinnining elastic strain structural relaxation electron diffraction mapping

Distributed collaborative complete coverage path planning based on hybrid strategy

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Journal of Systems Engineering and Electronics 2024年第2期35卷 463-472页

作者： ZHANG Jia DU xin DONG Qichen xin Bin School of Automation Beijing Institute of TechnologyBeijing 100081China National Key Laboratory of Autonomous Intelligent Unmanned Systems Beijing Institute of TechnologyBeijing 100081China

Collaborative coverage path planning(CCPP) refers to obtaining the shortest paths passing over all places except obstacles in a certain area or space. A multi-unmanned aerial vehicle(UAV) collaborative CCPP algorithm is proposed for the urban rescue search or military search in outdoor *** to flexible control of small UAVs, it can be considered that all UAVs fly at the same altitude, that is, they perform search tasks on a two-dimensional plane. Based on the agents’ motion characteristics and environmental information, a mathematical model of CCPP problem is established. The minimum time for UAVs to complete the CCPP is the objective function, and complete coverage constraint, no-fly constraint, collision avoidance constraint, and communication constraint are considered. Four motion strategies and two communication strategies are designed. Then a distributed CCPP algorithm is designed based on hybrid strategies. Simulation results compared with patternbased genetic algorithm(PBGA) and random search method show that the proposed method has stronger real-time performance and better scalability and can complete the complete CCPP task more efficiently and stably.

关键词： multi-agent cooperation unmanned aerial vehicles(UAV) distributed algorithm complete coverage path planning(CCPP)

上海市结核病防治综合管理信息系统的建设、应用与展望

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中国防痨杂志 2025年第1期47卷 18-21页

作者：饶立歆吴哲渊陈静毛丹刘星航沈鑫陈昕上海市疾病预防控制中心结核病与艾滋病防治所结核病防治科上海201107 上海市疾病预防控制中心科研管理处上海201107 上海市疾病预防控制中心疾病预防控制信息所标准和项目管理科上海201107 上海市疾病预防控制中心结核病与艾滋病防治所上海201107 上海市疾病预防控制中心上海201107

随着信息技术的迅猛发展和互联网的广泛普及,信息化建设在传染病防控过程中发挥着越来越重要的作用。上海市结核病管理信息系统自2010年起筹备,于2015年正式投入使用并与国家系统进行数据对接。作者首次总结了上海市在结核病信息化建设... 详细信息

随着信息技术的迅猛发展和互联网的广泛普及,信息化建设在传染病防控过程中发挥着越来越重要的作用。上海市结核病管理信息系统自2010年起筹备,于2015年正式投入使用并与国家系统进行数据对接。作者首次总结了上海市在结核病信息化建设方面的宝贵经验,全面介绍了上海市结核病管理信息系统的总体规划,回顾了十多年来的系统建设、改造和应用情况,并对系统后续的功能扩展、智能化应用等进行展望。

关键词：结核传染病控制管理信息系统

List Edge Coloring of Outer-1-planar Graphs

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Acta Mathematicae Applicatae Sinica 2020年第3期36卷 737-752页

作者： xin ZHANG School of Mathematics and Statistics Xidian UniversityXi'an 710071China

A graph is outer-1-planar if it can be drawn in the plane so that all vertices are on the outer face and each edge is crossed at most *** is known that the list edge chromatic numberχ′l(G)of any outer-1-planar graph G with maximum degreeΔ(G)≥5 is exactly its maximum *** this paper,we proveχ′l(G)=Δ(G)for outer-1-planar graphs G withΔ(G)=4 and with the crossing distance being at least 3.

关键词： outerplanar graph outer-1-planar graph crossing distance list edge coloring

Formation of Singularity for Full Compressible Magnetohydrodynamic Equations with Zero Resistivity in Two Dimensional Bounded Domains

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Acta Mathematicae Applicatae Sinica 2023年第4期39卷 990-1008页

作者： xin ZHONG School of Mathematics and Statistics Southwest UniversityChongqing 400715China

We are concerned with singularity formation of strong solutions to the two-dimensional(2D)full compressible magnetohydrodynamic equations with zero resistivity in a bounded *** energy method and critical Sobolev inequalities of logarithmic type,we show that the strong solution exists globally if the temporal integral of the maximum norm of the deformation tensor is *** result is the same as Ponce’s criterion for 3D incompressible Euler *** particular,it is independent of the magnetic field and ***,the initial vacuum states are allowed.

关键词： full compressible magnetohydrodynamic equations zero resistivity formation of singularity

Higher Genus FJRW Theory for Fermat Cubic Singularity

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Acta Mathematica Sinica,English Series 2021年第8期37卷 1179-1204页

作者： xin WANG School of Mathematics Shandong UniversityJinan 250100P.R.China

In this paper,we study the higher genus FJRW theory of Fermat cubic singularity with maximal group of diagonal symmetries using Giventai *** results,we prove the finite generation property and holomorphic anomaly equation for the associated FJRW *** general LG-LG mirror theorem,our results also hold for the Saito-Givental theory of the Fermat cubic singularity.

关键词： FJRW theory Saito-Givental theroy mirror symmetry finite generation holomorphic anomaly equation

A genus-4 topological recursion relation for Gromov-Witten invariants

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Science China Mathematics 2020年第1期63卷 101-112页

作者： xin Wang Department of Mathematics Shandong University

In this paper,we give a new genus-4 topological recursion relation for Gromov-Witten invariants of compact symplectic manifolds via Pixton’s relations on the moduli space of *** an application,we prove that Pixton’s... 详细信息

关键词： topological recursion relation moduli space of curves Gromov-Witten invariants

Automorphisms for Some Symmetric Multiparameter Quantized Weyl Algebras and Their Localizations（Dedicated to Professor Yingbo Zhang on her 70th birthday）

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Algebra Colloquium 2017年第3期24卷 419-438页

作者： xin Tang Department of Mathematics & Computer Science Fayetteville State University 1200 Murchison Road Fayetteville NC 28301 USA

We study a family of ＂symmetric＂ multiparameter quantized Weyl alge- bras A-q,A n（K） and some related algebras. We compute the Nakayama automorphism of A-q,A n（K）, give a necessary and sufficient condition for A-q,A n（K） to be Calabi-Yau, and prove that A-q,A n（K） is cancellative. We study the automorphisms and isomorphism problem for A-q,A n（K） and .A-q,A n（K[t]）. Similar results are established for the Maltsiniotis multiparam- eter quantized Weyl algebraA-q,A n（K） and its polynomial extension. We prove a quantum analogue of the Dixmier conjecture for a simple localization （A-q,A n（K））z and determine its automorphism group.

关键词： multiparameter quantized Weyl algebras algebra automorphisms isomor-phism problem quantum Dixmier conjecture