SHARP MORREY REGULARITY THEORY FOR A FOURTH ORDER GEOMETRICAL EQUATION

This paper is a continuation of recent work by Guo-Xiang-Zheng[10].We deduce the sharp Morrey regularity theory for weak solutions to the fourth order nonhomogeneous Lamm-Rivière equation △^{2}u=△(V▽u)+div(w▽u)+(▽ω+F)·▽u+f in B^(4),under the smallest regularity assumptions of V,ω,ω,F,where f belongs to some Morrey spaces.This work was motivated by many geometrical problems such as the flow of biharmonic mappings.Our results deepens the Lp type regularity theory of[10],and generalizes the work of Du,Kang and Wang[4]on a second order problem to our fourth order problems.

Investigation on Damage Regularity of Mikania micrantha

[Objectives]The paper was to understand the occurrence and damage regularity of the invasive plant Mikania micrantha in Huadu District of Guangzhou.[Methods]The damage status of M.micranthFa in different forest lands and its annual growth dynamics were investigated by field investigation.[Results]With the change of canopy density from low to high,the occurrence degree of M.micrantha changed from high to low.The occurrence degree of M.micrantha in different forest land types was:abandoned orchard>wasteland>roadside greenbelt>waterside>forest edge>normally managed orchard.[Conclusions]M.micrantha enters the rapid growth period from March to May in spring,with the growth rate gradually slowing down after June.The result provides a theoretical basis and practical guidance for the prevention and control of M.micrantha.

The Regularity of Solutions to Mixed Boundary Value Problems of Second-Order Elliptic Equations with Small Angles

This paper considers the regularity of solutions to mixed boundary value problems in small-angle regions for elliptic equations. By constructing a specific barrier function, we proved that under the assumption of sufficient regularity of boundary conditions and coefficients, as long as the angle is sufficiently small, the regularity of the solution to the mixed boundary value problem of the second-order elliptic equation can reach any order.

Regularity classification and corresponding analysis method requirements of horizontally curved bridges with unequal pier heights

The seismic behavior of horizontally curved bridges,particularly with unequal height piers,is more complicated than that of straight bridges due to their geometric properties.In this study,the seismic responses of several horizontally curved single-column-bent viaducts with various degrees of curvature and different pier heights have been investigated,employing three different analysis approaches:namely,modal pushover analysis,uniform load method,and nonlinear time history analysis.Considering the investigated bridge configurations and utilizing the most common regularity indices,the results indicate that viaducts with 45-degree and 90-degree deck subtended angles can be categorized as regular and moderately irregular,respectively,while the bridges with 180-degree deck subtended angle are found to be highly irregular.Furthermore,the viaducts whose pier heights are asymmetric may be considered as irregular for almost all ranges of the deck subtended angles.The effects of higher transverse and longitudinal modes are discussed and the minimum analysis requirements are identified to assess the seismic response of such bridge configurations for design purposes.Although the Regularity Indices used here are useful tools to distinguish between regular and irregular bridges,further studies are needed to improve their reliability.

THEORETICAL RESULTS ON THE EXISTENCE,REGULARITY AND ASYMPTOTIC STABILITY OF ENHANCED PULLBACK ATTRACTORS:APPLICATIONS TO 3D PRIMITIVE EQUATIONS

Several new concepts of enhanced pullback attractors for nonautonomous dynamical systems are introduced here by uniformly enhancing the compactness and attraction of the usual pullback attractors over an infinite forward time-interval under strong and weak topologies.Then we provide some theoretical results for the existence,regularity and asymptotic stability of these enhanced pullback attractors under general theoretical frameworks which can be applied to a large class of PDEs.The existence of these enhanced attractors is harder to obtain than the backward case[33],since it is difficult to uniformly control the long-time pullback behavior of the systems over the forward time-interval.As applications of our theoretical results,we consider the famous 3D primitive equations modelling the large-scale ocean and atmosphere dynamics,and prove the existence,regularity and asymptotic stability of the enhanced pullback attractors in V×V and H^(2)×H^(2) for the time-dependent forces which satisfy some weak conditions.

GLOBAL REGULARITY OF 2D INCOMPRESSIBLE MAGNETO-MICROPOLAR FLUID EQUATIONS WITH PARTIAL VISCOSITY

This paper studies the global regularity of 2D incompressible anisotropic magnetomicropolar fluid equations with partial viscosity. Ma [22](Ma L. Nonlinear Anal: Real World Appl, 2018, 40: 95–129) examined the global regularity of the 2D incompressible magnetomicropolar fluid system for 21 anisotropic partial viscosity cases. He proved the global existence of a classical solution for some cases and established the conditional global regularity for some other cases. In this paper, we also investigate the global regularity of 12 cases in [22]and some other new partial viscosity cases. The global regularity is established by providing new regular conditions. Our work improves some results in [22] in this sense of weaker regular criteria.

Ground fissure development regularity and formation mechanism of shallow buried coal seam mining with Karst landform in Jiaozi coal mine: a case study

A comprehensive study was undertaken at Jiaozi coal mine to investigate the development regularity of ground fissures in shallow buried coal seam mining with Karst landform,shedding light on the development type,geographical distribution,dynamic development process,and failure mechanism of these ground fissures by employing field monitoring,numerical simulation,and theoretical analysis.The findings demonstrate that ground fissure development has an obvious feature of subregion,and its geographical distribution is significantly affected by topography.Tensile type,open type,and stepped type are three different categories of ground fissure.Ground fissures emerge dynamically as the panel advances,and they typically develop with a distance of less than periodic weighting step distance in advance of panel advancing position.Ground fissures present the dynamic development feature,temporary fissure has the ability of self-healing.The dynamic development process of ground fissure with closed-distance coal seam repeated mining is expounded,and the development scale is a dynamic development stage of“closure→expansion→stabilized”on the basis of the original development scale.From the perspective of topsoil deformation,the computation model considering two points movement vectors towards two directions of the gob and the ground surface is established,the development criterion considering the critical deformation value of topsoil is obtained.The mechanical model of hinged structure of inclined body is proposed to clarify the ground fissure development,and the interaction between slope activity and ground fissure development is expounded.These research results fulfill the gap of ground fissures about development regularity and formation mechanism,and can contribute to ground fissure prevention and treatment with Karst landform.

THE REGULARITY AND UNIQUENESS OF A GLOBAL SOLUTION TO THE ISENTROPIC NAVIER-STOKES EQUATION WITH ROUGH INITIAL DATA

A global weak solution to the isentropic Navier-Stokes equation with initial data around a constant state in the L^(1)∩BV class was constructed in[1].In the current paper,we will continue to study the uniqueness and regularity of the constructed solution.The key ingredients are the Holder continuity estimates of the heat kernel in both spatial and time variables.With these finer estimates,we obtain higher order regularity of the constructed solution to Navier-Stokes equation,so that all of the derivatives in the equation of conservative form are in the strong sense.Moreover,this regularity also allows us to identify a function space such that the stability of the solutions can be established there,which eventually implies the uniqueness.

THE REGULARITY CRITERIA OF WEAK SOLUTIONS TO 3D AXISYMMETRIC INCOMPRESSIBLE BOUSSINESQ EQUATIONS

In this paper,we obtain new regularity criteria for the weak solutions to the three dimensional axisymmetric incompressible Boussinesq equations.To be more precise,under some conditions on the swirling component of vorticity,we can conclude that the weak solutions are regular.

THE EXISTENCE OF WEAK SOLUTIONS AND PROPAGATION REGULARITY FOR A GENERALIZED KDV SYSTEM

This paper examines the existence of weak solutions to a class of the high-order Korteweg-de Vries(KdV)system in Rn.We first prove,by the Leray-Schauder principle and the vanishing viscosity method,that any initial data N-dimensional vector value function u0(x)in Sobolev space H^(s)(R^(n))(s≥1)leads to a global weak solution.Second,we investigate some special regularity properties of solutions to the initial value problem associated with the KdV type system in R^(2)and R^(3).

Lipschitz Regularity of Viscosity Solutions to the Infinity Laplace Equation

In this paper, we study the viscosity solutions of the Neumann problem in a bounded C2 domain Ω, where ΔN∞ is called the normalized infinity Laplacian. The normalized infinity Laplacian was first studied by Peres, Shramm, Sheffield and Wilson from the point of randomized theory named tug-of-war, which has wide applications in optimal mass transportation, financial option price problems, digital image processing, physical engineering, etc. We give the Lipschitz regularity of the viscosity solutions of the Neumann problem. The method we adopt is to choose suitable auxiliary functions as barrier functions and combine the perturbation method and viscosity solutions theory. .

情景模拟联合PBL教学法在脊柱侧弯住培教学中的应用研究

目的 探究情景模拟联合以问题为导向的教学法(problem-based learning,PBL)在脊柱侧弯住培教学中的应用效果。方法 将2020年1月—2021年12月在南通大学附属医院骨科参加住培的40名学员作为研究对象,并随机分为对照组(n=20,给予PBL教学法),观察组(n=20,给予情景模拟联合PBL教学法)。比较分析2组学员考核成绩、满意度及综合能力评价情况。结果在考核成绩方面,住培前2组学员考核成绩差异无统计学意义(P> 0.05),住培后观察组学员理论与实践的成绩分别是(91.04±3.14)分、(92.33±3.57)分,均高于对照组学员的(81.75±2.97)分、(82.64±2.69)分,且观察组综合得分(91.47±3.26)分高于对照组学员的(82.01±2.54)分,差异均有统计学意义(P<0.05)。观察组与对照组对住培教学的满意度(95.00%vs. 70.00%)的差异有统计学意义(P <0.05)。在综合能力评价方面,观察组学员综合评价总分(89.46±1.17)分,高于对照组学员的(70.27±1.22)分,差异有统计学意义(P <0.05)。结论 在脊柱侧弯住培教学中实施情景模拟联合PBL教学法可以有效提高学员的理论知识水平以及实践操作能力,并且学员的综合能力显著提高。

《南岭成矿带成矿规律图》研编创新点及其找矿意义

由中国地质科学院矿产资源所编制出版的《南岭成矿带成矿规律图(1∶80万)》,是迄今为止矿种最全、资料最新、信息量最大的全面反映我国南岭勘查成果与成矿规律的区带级别(Ⅲ级成矿单元)成矿规律图。该图件研编实现了4大创新点:①涵盖了南岭已发现的2903处独立矿产地,包括能源、金属、非金属和水气矿产等4大类的76个矿种,实现了南岭成矿带矿种与矿产地的全覆盖;②归并了地质底图的地层并淡化显示,突出华南岩体、隐伏岩体的特色,使得不同构造—建造层地质单元的分布格局一目了然;③实现了矿产地、规模、类型、时代、成矿系列五位一体的综合图例设计,矿产地表达更简洁、直观;④综合成矿系列图、表、成矿体系图、剖面图等,以区域规律图编制的新思路和新方法,更集中反映和彰显南岭成矿带最新科研成果。该图件的研编有助于直观展示南岭成矿带矿产的时空分布格局,深入总结成矿规律,科学圈定重要找矿远景区,对于全面指导南岭的地质找矿工作具有重要的意义。

基于变异的正则表达式反例测试串生成算法

正则表达式在计算机科学的许多领域具有广泛应用.然而,由于正则表达式语法比较复杂,并且允许使用大量元字符,导致开发人员在定义和使用时容易出错.测试是保证正则表达式语义正确性的实用和有效手段,常用的方法是根据被测表达式生成一些字符串,并检查它们是否符合预期.现有的测试数据生成大多只关注正例串,而研究表明,实际开发中存在的错误大部分在于定义的语言比预期语言小,这类错误只能通过反例串才能发现.研究基于变异的正则表达式反例测试串生成.首先通过变异向被测表达式中注入缺陷得到一组变异体,然后在被测表达式所定义语言的补集中选取反例字符串揭示相应变异体所模拟的错误.为了能够模拟复杂缺陷类型,以及避免出现变异体特化而无法获得反例串的问题,引入二阶变异机制.同时采取冗余变异体消除、变异算子选择等优化技术对变异体进行约简,从而控制最终生成的测试集规模.实验结果表明,与已有工具相比,所提算法生成的反例测试串规模适中,并且具有较强的揭示错误能力.

黔北—滇东二叠纪锰矿主要成矿规律与成矿区带划分

这是一篇地球科学领域的论文。锰矿为我国十分紧缺的战略矿产之一。黔北-滇东地区是我国二叠纪锰矿最典型的分布区,在全球晚古生代也较为少见,该区锰矿资源丰富,找矿潜力巨大,称为“遵义式锰矿”。研究表明,该区锰矿产于二叠纪茅口晚期,分布严格受黔北裂谷盆地控制,锰矿在地堑盆地中心喷溢沉积成矿,在地垒区则无锰矿分布,矿体空间展布方向与盆地展布方向基本一致。其中,黔北遵义-黔西地区锰矿在空间上分布于盆地相区,并可分为中心相、过渡相、边缘相等三个锰矿相带,进一步指示了锰矿具体成矿位置,显示了锰矿受盆地中心控制非常明显的特点。在划分的遵义-宣威锰矿成矿带的基础上,详细划分出遵义-黔西锰矿成矿亚带中深溪—八里、龙坪—兴隆、团溪—尚稽、黔西4个锰矿矿集区,以及水城-宣威锰矿成矿亚带中水城—纳雍、格学2个锰矿矿集区。该研究成果对寻找黔北—滇东二叠纪隐伏锰矿床,开展成矿预测,具有重要的意义。

基于非凸与不可分离正则化算法的电容层析成像图像重建

搅拌器内两相混合是化工生产中常见的现象,电容层析成像(ECT)技术主要对两相分布进行可视化重构,以达到监测的目的。受稀疏贝叶斯学习的启发,提出了一种非凸与不可分离正则化(NNR)算法重建ECT图像。在稀疏先验的基础上引入矩阵低秩特性,采用最大后验估计在潜在空间中提出一个新的优化问题,利用对偶变量将潜在空间的目标函数映射到原始空间进行迭代求解,用来恢复同时稀疏与低秩的矩阵。与凸近似L1范数相比,NNR算法可获得更准确的重建图像,同时比非凸可分离方法更容易收敛到全局最优解。为验证NNR算法的重建效果,通过数值仿真与静态实验的方法分别与其他5种算法进行重建对比。结果表明:NNR算法可以有效减少重建伪影,提升中心物体的重建质量,为搅拌器内两相分布提供了高质量的重建算法。

东北地区金矿成矿规律及找矿方向

金矿是一种重要的贵金属矿产,也是东北地区优势矿产之一。东北地区金矿资源丰富,分布具有明显的区域性集中趋势,是我国岩金尤其是砂金的重要产区。本文系统收集和整理了已有东北地区金矿地质资料,全面总结了东北地区金矿资源禀赋、矿床类型、时空分布规律、成矿演化,指出了进一步的找矿方向。综合金矿床的工业类型和成因类型,将东北地区金矿床分为砂矿型、岩浆热液型、陆相火山岩型、变成型和受变质型、斑岩型、叠加型及成因暂时未查明的流体型等类型。岩金主要分布于华北成矿省辽东成矿带、华北陆块北缘东段成矿带,吉黑成矿省小兴安岭—张广才岭成矿带、吉中—延边成矿带,大兴安岭成矿省东乌珠穆沁旗—嫩江成矿带等;而砂金主要分布于黑龙江省三江沿岸,大兴安岭成矿省东乌珠穆沁旗—嫩江成矿带、吉黑成矿省佳木斯—兴凯成矿带、小兴安岭—张广才岭成矿带等。东北金矿具有多旋回、多期次成矿的特点,按其规律可划为太古宙、元古宙、加里东期、华力西期、印支期、燕山期、喜马拉雅期等7个成矿期。划分了13个成矿系列,22个成矿亚系列,22个三级预测区,显示出良好的成矿条件和找矿前景。

香蕉黑星病研究现状及展望

由叶点霉属(Phyllosticta)多个种引起的香蕉黑星病是香蕉产区常见的叶部和果实病害之一。受害叶片及果实表面出现褐色或黑色斑,可致叶片早衰,果实外观品质变劣,耐贮性及商品价值下降,造成严重经济损失。本文基于国内外香蕉黑星病研究报道,概述了香蕉黑星病症状、分布与为害、病原菌及其生物学特性、流行规律、检测技术与防治方法等研究现状,并对存在问题及研究趋势进行了展望,以期为我国香蕉黑星病相关研究及防治提供参考。

护理应急队伍常态化培训的设计与实践

在全球突发公共卫生事件频发和国家卫生健康委要求加强卫生应急人才培养的背景下,浙江大学医学院附属邵逸夫医院对护理应急队伍进行常态化培训。通过建立护理应急人才准入标准、模块化的培训内容、线上线下相结合的培训方式、综合性的考核,对230名队员进行首次8个月培训和后期2年的常态化培训及实践。2020年首次培训的队员考核成绩:传染病知识模块平均得分95.80分,医院感染管理模块平均得分98.30分,重症护理模块平均得分95.12分,急诊创伤护理模块平均得分95.02分,身心赋能模块平均得分92.45分,应急演练考核共完成12个学时,通过率100%;该护理应急队伍成为应对公共卫生突发事件院内外救援的“主力军”,也成为急诊群体事件应对的第一梯队成员。

关于现代图书馆信息服务之个性化与常规化的思考

个性化服务与常规化服务是图书馆信息服务的一体两面,某种程度上说既对立又统一,从时间维度看,某些个性化服务随着技术的发展和服务内容的深化逐渐转化为常规化服务,但总体来说,找到两者最佳结合点,依据各自馆情,合理配置资源,才是服务好读者,发展图书馆事业的正确途径。