局部凸空间中ic -锥-类凸集值优化问题的超有效性

该文研究局部凸空间中受集值约束的集值优化问题的超有效解. 证明了ic -锥-类凸集值映射的一个有用性质, 并以此性质为主要工具, 得到了ic -锥-类凸集值向量优化问题超有效解的最优性条件和鞍点定理.     

Is the Near-Earth Current Sheet Prior to Reconnection Unstable to Tearing Mode？

The tearing mode instability plays a key role in the triggering process of reconnection. The triggering collisionless tearing mode instability has been theoretically and numerically analyzed by many researchers. However, due to the difficulty in obtaining the observational wave number, it is still unknown whether the tearing mode instability can be excited in an actual plasma sheet prior to reconnection onset. Using the data from four Cluster satellites prior to a magnetospheric reconnection event on 13 September 2002, we utilized the wave telescope technique to obtain the wave number which corresponds to the peak of power spectral density. The wavelength is about 18RE and is consistent with previous theoretic and numerical results. After substituting the wave vector and other necessary parameters of the observed current sheet into the triggering condition of tearing mode instability, we find that the near-Earth current sheet prior to reconnection is unstable to tearing mode.     

利用逼近函数证明不等式的策略

在翻阅一些数学期刊时，笔者不时看到如下的一些不等式的证明：     

局部误差的有界约束非线性方程组的非单调信赖域算法

本文提供了在没有非奇异假设的条件下,求解有界约束半光滑方程组的投影信赖域算法.基于一个正则化子问题,求得类牛顿步,进而求得投影牛顿步.在合理的假设条件下,证明了算法不仅具有整体收敛性而且保持超线性收敛速率.     

表面改性的火焰法碳纳米管/聚苯乙烯复合材料的制备与性能

通过傅立叶变换红外光谱(FT-IR)和热失重分析(TGA)等方法研究了火焰法制备的多壁碳纳米管(F-MWCNT)的结构,发现F-MWCNT表面带有一定量的羧基等活性基团.将F-MWCNT直接与氯化亚砜及十六烷基胺反应,成功制备了其酰胺功能化产物(H-MWCNT).扫描电子显微镜(SEM)和动态力学分析(DMA)结果表明,F-MWCNT及酰胺化产物H-MWCNT明显改善了相应的聚苯乙烯(PS)/碳纳米管复合材料的界面结构和力学性能.