Concentrated steady vorticities of the Euler equation on 2-d domains and their linear stability

We consider concentrated vorticities for the Euler equation on a smooth domain $\mathrm{\Omega }?{\mathbf{R}}^2$ in the form of

$\omega =\sum _{j=1}^N{\omega }_j{\chi }_{{\mathrm{\Omega }}_j},|{\mathrm{\Omega }}_j|=\pi r_j^2,\underset{{\mathrm{\Omega }}_j}{\int }{\omega }_{j}d\mu ={\mu }_j\ne 0,$

supported on well-separated vortical domains ${\mathrm{\Omega }}_j$, $j=1,\dots ,N$, of small diameters $O(r_j)$. A conformal mapping framework is set up to study this free boundary problem with ${\mathrm{\Omega }}_j$ being part of unknowns. For any given vorticities ${\mu }_1,\dots ,{\mu }_N$ and small $r_1,\dots ,r_N\in {\mathbf{R}}^{+}$, through a perturbation approach, we obtain such piecewise constant steady vortex patches as well as piecewise smooth Lipschitz steady vorticities, both concentrated near non-degenerate critical configurations of the Kirchhoff–Routh Hamiltonian function. When vortex patch evolution is considered as the boundary dynamics of $?{\mathrm{\Omega }}_j$, through an invariant subspace decomposition, it is also proved that the spectral/linear stability of such steady vortex patches is largely determined by that of the 2N-dimensional linearized point vortex dynamics, while the motion is highly oscillatory in the 2N-codim directions corresponding to the vortical domain shapes.     

种植烤瓷冠与烤塑冠临床咬合磨耗研究

目的比较种植用烤塑冠和烤瓷冠修复在两年后的磨耗情况。方法在临床应用烤塑冠和烤瓷冠修复两年,用咬合纸的方法来测定义齿磨耗情况。结果种植烤塑冠修复组和种植烤瓷冠修复组磨耗没有统计学差异(p0.05)。结论用种植烤塑冠及烤瓷冠修复磨耗性能在临床上无显著差异。     

Feasibility study on buoyancy–weight ratios of a submerged floating tunnel prototype subjected to hydrodynamic loads

The research progress of a novel traffic solution,a submerged floating tunnel(SFT),is reviewed in terms of a study approach and loading scenario.Among existing publications,the buoyancy-weight ratio(BWR) is usually predefined.However,BWR is a critical structural parameter that tremendously affects the dynamic behaviour of not only the tunnel tube itself but also the cable system.In the context of a SFT prototype(SFTP) project in Qiandao Lake(Zhejiang Province,China),the importance of BWR is illustrated by finite element analysis and subsequently,an optimized BWR is proposed within a reasonable range in the present study.In the numerical model,structural damping is identified to be of importance.Rayleigh damping and the corresponding Rayleigh coefficients are attained through a sensitivity study,which shows that the adopted damping ratios are fairly suitable for SFTP.Lastly,the human sense of security is considered by quantifying the comfort index,which helps further optimize BWR in the SFTP structural parameter design.     

The Effect of the Spacer of Bis(biurea) Ligands on the Structure of A2L3‐type (A=anion) Phosphate Complexes

By tuning the length and rigidity of the spacer of bis(biurea) ligands L, three structural motifs of the A₂L₃ complexes (A represents anion, here orthophosphate PO₄^3?), namely helicate, mesocate, and mono‐bridged motif, have been assembled by coordination of the ligand to phosphate anion. Crystal structure analysis indicated that in the three complexes, each of the phosphate ions is coordinated by twelve hydrogen bonds from six surrounding urea groups. The anion coordination properties in solution have also been studied. The results further demonstrate the coordination behavior of phosphate ion, which shows strong tendency for coordination saturation and geometrical preference, thus allowing for the assembly of novel anion coordination‐based structures as in transition‐metal complexes.     

浅析“四项负责制”在高校图书馆的实施——以湖北工程学院图书馆为例

分别从"四项负责制"的基本概念入手,阐述了在高校图书馆实施"四项负责制"的基本内容及基本要求,以湖北工程学院图书馆为例,介绍了该馆倡导和推行"四项负责制"的情况,以提高图书馆整体服务质量。     

是是非非话海龄

海龄是鸦片战争时期镇江保卫战的主要指挥者之一。他作战勇敢,以身殉国,是反抗外敌入侵的知名抗战派将领。海龄又屠杀群众,得罪官绅商民,受到多方责难。形成这种矛盾性评价的根源,在于海龄所属阶级与民族的时代局限性。     

运用Actigraph GT3X三轴加速度传感器测量成年及老年男性人群步行的信效度研究

评价Actigraph GT3X三轴加速度传感器测量中国男性人群典型体力互动信效度,开发基于中国人群步行活动模式的GT3X三轴加速度传感器能耗推算方程。方法受试对象包括青年组(21.92±1.14岁),老年组(55.5±4.52岁)。受试者佩戴GT3X三轴加速度传感器,在跑台上分别完成3km/h(慢走)、4.5km/h(正常步行)、4.5km/h10%(上坡步行)、6km/h(快走)以及7.5km/h(慢跑)速度的走跑运动各5min。受试者佩戴COSMED K4b2便携式代谢测试仪,并将GT3X三轴加速度传感器佩戴于髋部,同步采集心肺功能仪及加速度传感器数据。结果根据受试对象4种无坡度走跑运动推导出线性方程MET=0.000653*counts(Axis1)+2.345521以及线性方程MET=0.000689*counts(VM)+1.640721,但其相关系数不高;GT3X+三轴加速度传感器记录上坡步行(4.5km/h10%)运动与无坡度运动(4.5km/h)相比,三轴counts及VM均显示有差异性(P<0.05),但counts增加率远低于MET增加率;GT3X+三轴加速度传感器两次重复测试,pearson值高,即离散程度低。结论本研究推导垂直轴(Axis1)、三轴矢量和(VM)的线性方程,为中度相关,误差值较大,且上坡运动时的GT3X+三轴加速度传感器记录counts值与MET值呈非线性相关,提示Actigraph GT3X三轴加速度传感器能耗推算方程可根据不同运动方式、运动强度推算相对应方程;Actigraph GT3X三轴加速度传感器测量我国成年及老年男性人群步行活动其信度较高。     

“二三结合”开发模式渗流特征研究

L油田B区块开展"二三结合"实验区,"二三结合"开发模式渗流特征对区块的合理高效开发具有重要意义。为了明确其渗流特征,利用油藏数值模拟软件Eclipse建立代表意义的油藏数值模型,研究区块"二三结合"开发模式下原射孔层和补孔层的渗流特征,分析了"二三结合"开发模式下,不同开发阶段综合含水率、采出程度、井底压力、地层压力及含水饱和度的变化特征。研究表明,"二三结合"开发模式先通过水驱开发挖潜原射孔层剩余油,提高厚油层顶部剩余油的采出程度,再通过聚合物驱进一步提高开发效果,通过水驱与聚驱的综合作用,最终得到较好的开发效果。     

基于修正斜压场的RC框架边节点剪切性能分析

为研究钢筋屈服强度和混凝土抗压强度对钢筋混凝土(RC)框架边节点剪切性能的影响规律,基于修正斜压场理论(MCFT),对某框架边节点的剪切应力-应变骨架曲线进行数值模拟,并与试验结果进行对比.在验证MCFT算法的精度后,研究钢筋屈服强度和混凝土抗压强度两个参数变化对RC框架边节点剪切应力-应变骨架曲线和峰值剪切应力的影响规律.结果表明:基于MCFT可以较好地模拟RC框架边节点的剪切应力-应变关系曲线; RC框架边节点的峰值剪切应力对混凝土抗压强度的变化更为敏感,但当试件的钢筋(HRB400)屈服应力下降幅度超过16.45%时,对钢筋屈服应力的变化更为敏感;当试件的钢筋(HRB400)屈服应力下降幅度超过10%时,节点发生钢筋滑移破坏,此时峰值剪切应力会大幅下降.     

凋亡抑制蛋白与肿瘤关系的研究

凋亡抑制蛋白(inhibitor of apoptosis proteins,IAPs)可以作为癌症诊断和治疗的靶点,在肿瘤研究方面备受关注,就凋亡抑制蛋白的结构、功能、在肿瘤中的表达与肿瘤的关系等研究进展作一综述,为凋亡抑制蛋白的研究提供信息和思路.