标准算子代数上完全保对合性的可加映射

刻画了无限维实或复Banach空间上的标准算子代数间完全保对合性的可加映射,证明了这样的映射是同构的常数倍或(复情形下)共轭同构的常数倍.     

Na原子中3S—4D双光子共振增强紫外相干辐射的观测和研究

用Na原子3S—4D双光子共振增强的受激超Raman散射、四波混频和光泵受激发射过程,获得230—340nm范围内两组紫外相干辐射,分析了这一系列紫外相干辐射的产生机制和谐线特性。     

电动汽车与锂离子电池

文章简要介绍了混合动力汽车、插电式混合动力汽车、纯电动汽车和锂离子动力电池及其关键材料。发展电动汽车可以大幅度降低人们对石油的依赖和改善城市空气质量。锂离子电池性能优越,为电动汽车的发展提供了支撑。近期,新一代锂离子动力电池正极材料即将走向应用,可使电动汽车里程增加一倍,材料选择和电池设计及制造工艺与电池储存能量、寿命、安全等密切相关, 尊道而重德,可做出“好”电池。     

RN上的临界非齐次多重调和方程的多解存在性

讨论了 RN上带非负扰动的临界非齐次多重调和方程的多解存在性 .首先由泛函弱连续性方法获得方程的第一个解 ,再由山路引理获得方程的第二个解 .本文的这种求解方法和这些结果不仅适用于 RN 上的二阶椭圆方程 ,而且也适用于尚未解决的 RN 上的双调和方程     

非饱和土的非线性固结模型和弹塑性固结模型及其应用

把作者最近提出的非饱和土的增量非线性本构模型及由作者改进的Alonso等人提出的非饱和土弹塑性模型引入陈正汉建立的非饱和土的固结理论,得到非饱和土的非线性固结模型和弹塑性固结模型,设计了有关程序,求解了地基在分级加载条件下的固结过程和塑性区的动态扩展,从而把非饱和土固结问题的研究推到了一个新水平。     

极大值函数取得最小值的二次最优条件

研究Chaney和Ben Tal Zowe的二阶方向导数 ,并利用它们考虑函数h(x)∶ =max{f(x ,τ) ;τ∈T}(这里T是紧距离空间 )的极小化问题 .改进了Kawasaki关于上述问题的极小化必要条件     

太阳耀斑环——射电微波及相关波段的研究

与大多以光学波段为主的耀斑研究不同的是,作者拟以射电微波(厘米波段)的频谱和成像观测为主及相应的辐射机制研究太阳活动的基本单元——耀斑环及其物理参数的空间分布和时间演化规律。特别是中国研制的具有国际最高的时间、空间和频率分辨率的射电日像仪(MUSER)已投入运行,文章将为推动该设备即将开展的科学研究提供重要的参考工具。此外,文中也加入了与射电微波辐射密切相关的X射线、紫外和光学波段的研究,符合太阳物理乃至整个天体物理多波段研究的大趋势。文章集中介绍作者最具特色的研究,由于篇幅所限只能给出基本物理思想和概念、主要结论和代表性插图,对相应的理论推导、观测数据处理等细节,读者可根据需要参阅对应的参考文献。     

Theory of Electrorotation of Clustered Colloidal Particles

When a colloidal suspension is exposed to a strong rotating electric field, an aggregation of the suspended particles is induced to appear. In such clusters, the separation between the suspended particles is so close that one could not neglect the multiple image effect on the electrorotation (ER) spectrum. Since so far the exact multiple image method exists in two dimensions only, rather than in three dimensions, we investigate the ER spectrum of the clustered colloidal particles in two dimensions, in which many cylindrical particles are randomly distributed in a sheet cluster. We report the dependence of the ER spectrum on the material parameters. It is shown that the multiple image method predicts two characteristic frequencies, at which the rotation speed reaches maximum. To this end, the multiple image method is numerically demonstrated to be in good agreement with the known Maxwell-Garnett approximation.     

New Exact Travelling Wave Solutions to Kundu Equation

Based on a first-order nonlinear ordinary differential equation with six-degree nonlinear term, we first present a new auxiliary equation expansion method and its algorithm. Being concise and straightforward, the method is applied to the Kundu equation. As a result, some new exact travelling wave solutions are obtained, which include bright and dark solitary wave solutions, triangular periodic wave solutions, and singular solutions. This algorithm can also be applied to other nonlinear evolution equations in mathematical physics.     

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??In this paper, we consider a perturbed compound Poisson risk model with dependence, where the dependence structure for the claim size and the inter-claim time is modeled by a generalized Farlie-Gumbel-Morgenstern copula. The integro equations, the Laplace transforms and the defective renewal equations for the Gerber-Shiu functions are obtained. For exponential claims, some explicit expressions are obtained, and some numerical examples for the ruin probabilities are also provided.