非线性Kuamoto-Sivashinsky方程的精确控制

运用泛函分析性质以及Fourier变换的方法研究带有周期边界条件的非线性k-s方程在有限时间区间上的精确控制.首先研究线性化k-s方程的精确控制,证明对于任意给定的函数u0∈Hs,uT∈Hs,总能找到一个控制函数h使得线性化k-s方程有解u且满足u(x,0)=u0,u(x,T)=uT;然后结合线性化k-s方程的精确控制,通过定义Fredholm算子并应用Fredholm算子的一些理论找到非线性化k-s方程的控制函数,使其可精确控制.     

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MODIS多光谱信息在海上溢油检测中的应用

利用搭载在EOS-Aqua/Terra卫星上的MODIS数据,对长江口溢油、委内瑞拉的马拉开波湖溢油等4次事故进行光谱分析和研究.在对出事海域的卫星数据进行图像处理的基础上,利用MODIS数据的多光谱信息,分析溢油在各个波段的特征,并确定油膜特征比较明显的波段范围,为可见光/近红外卫星监测溢油提供参考.     

SELFE: A semi-implicit Eulerian–Lagrangian finite-element model for cross-scale ocean circulation

Unstructured-grid models grounded on semi-implicit, finite-volume, Eulerian–Lagrangian algorithms, such as UnTRIM and ELCIRC, have enjoyed considerable success recently in simulating 3D estuarine and coastal circulation. However, opportunities for improving the accuracy of this type of models were identified during extensive simulations of a tightly coupled estuary–plume–shelf system in the Columbia River system. Efforts to improve numerical accuracy resulted in SELFE, a new finite-element model for cross-scale ocean modeling. SELFE retains key benefits, including computational efficiency of existing semi-implicit Eulerian–Lagrangian finite-volume models, but relaxes restrictions on grids, uses higher-order shape functions for elevation, and enables superior flexibility in representing the bathymetry. Better representation of the bathymetry is enabled by a novel, “localized” vertical grid that resembles unstructured grids. At a particular horizontal location, SELFE uses either S coordinates or SZ coordinates, but the equations are consistently solved in Z space. SELFE also performs well relative to volume conservation and spurious oscillations, two problems that plague some finite-element models. This paper introduces SELFE as an open-source code available for community use and enhancement. The main focus here is on describing the formulation of the model and on showing results for a range of progressively demanding benchmark tests. While leaving details to separate publications, we also briefly illustrate the superior performance of SELFE over ELCIRC in a field application to the Columbia River estuary and plume.     

Moritz解析延拓解与Bjerhammar虚拟球面解的等价性

利用调和函数的性质以及球谐函数展开理论,并根据实数域上函数的幂级数展开式证明了Moritz解析延拓解与Bjerhammar虚拟球面解的等价性,同时分析了两种解的内在区别。     

水/离子液体界面聚合法制备聚苯胺微/纳米纤维

没有外加质子酸的条件下,以过硫酸铵作氧化剂,水和离子液体作为两相,采用"界面聚合法"成功制备出导电聚苯胺纳米纤维(d=100～190 nm),界面体系所使用的溶剂都为绿色溶剂,对环境无污染,实现了对传统界面聚合的改进.发现[APS]/[An]的比例,去离子水的加入以及搅拌时间对产物的形貌有重要影响.通过FTIR,UV-Vis,XRD进行了结构表征,证实所得的聚苯胺纳米纤维为掺杂态.