拟线性双曲型守恒律组的整体解的研究

本文共分两部分,第一部分是研究最简气体动力学方程组较文献[6]更一般的始值问题,得出了解的大范围存在性及始值所具有的性质对时间t的不变性,并对解的性质进行了某些研究。在假设用(u₀(±∞),v₀(±∞))(u₀(x),v₀(x)表示始值)解黎曼问题时存在某一向激波的情形,证明了解必然包含一条某一向激波。应该指出,同向激波和稀疏波的相互作用是本文所研究的始值的一个特例。第二部分是把第一部分中所得的主要结果推广到文献[7]中研究过的方程组上去。     

Effects of trapped electrons on off-axis lower hybrid current drive in tokamaks

The effects of trapped electrons on off-axis lower hybrid current drive （LHCD） in tokamaks are studied, A computer code for solving the Fokker-Planck equation in a toroidal geometry is developed and employed. The code is suitable for various auxiliary heating and current drive schemes in tokamak plasmas. The influence of the resonance regime on the current drive efficiency as well as the influence of trapped particle fraction on the current drive efficiency are emphasized. It is shown that, as an electrostatic force, the lower hybrid wave causes some of the trapped electrons to be untrapped and lose their energy, which can cut the LHCD efficiency by about 30%. The ITER scaling law is also used to estimate the trapped electron effects.[第一段]     

一种新的氟离子荧光识别主体2,3-二(2-吡咯酰胺)甲基喹喔啉的合成、结构及离子识别研究

设计并合成了2,3-二(2-吡咯酰胺)甲基喹喔啉化合物2.通过X射线单晶衍射研究了该化合物的固态结构.分别利用荧光和紫外-可见光谱技术研究了其对阴离子的识别,发现化合物2能在DMSO中对氟离子进行有效的选择性识别,主要的识别位点为吡咯NH和酰胺NH.     

Asymptotic solution for the El Nino time delay sea-air oscillator model

A sea-air oscillator model is studied using the time delay theory. The aim is to find an asymptotic solving method for the El Nino-southern oscillation （ENSO） model. Employing the perturbed method, an asymptotic solution of the corresponding problem is obtained. Thus we can obtain the prognoses of the sea surface temperature （SST） anomaly and the related physical quantities.     

Spatial and Kinetic Regulation of Sulfur Electrochemistry on Semi-Immobilized Redox Mediators in Working Batteries

Use of redox mediators (RMs) is an effective strategy to enhance reaction kinetics of multi-electron sulfur electrochemistry. However, the soluble small-molecule RMs usually aggravate the internal shuttle and thus further reduce the battery efficiency and cyclability. A semi-immobilization strategy is now proposed for RM design to effectively regulate the sulfur electrochemistry while circumvent the inherent shuttle issue in a working battery. Small imide molecules as the model RMs were co-polymerized with moderate-chained polyether, rendering a semi-immobilized RM (PIPE) that is spatially restrained yet kinetically active. A small amount of PIPE (5 % in cathode) extended the cyclability of sulfur cathode from 37 to 190 cycles with 80 % capacity retention at 0.5 C. The semi-immobilization strategy helps to understand RM-assisted sulfur electrochemistry in alkali metal batteries and enlightens the chemical design of active additives for advanced electrochemical energy storage devices.     

广义Duffing扰动振子随机共振机理的渐近解

利用非线性方法研究了一类广义Duffing扰动方程.首先求得了典型的Duffing方程的解.然后利用泛函广义变分迭代原理得到了广义Duffing扰动振子随机共振机理的近似解,并论述了解的一致有效性.     

脉冲激光沉积制备非晶La0.75Sr0.25MnO3薄膜用于半透明阻变存储器

用脉冲激光沉积方法制备非晶La_0.75Sr_0.25MnO₃（a-LSMO）薄膜作为阻变器件（Ag/a-LSMO/ITO）的中间层,所得器件具有良好的非易失性和双极阻变行为。ITO衬底及超薄a-LSMO薄膜具有很高的可见光透过率,从而可制备半透明阻变器件。通过高分辨透射电镜直接观测到了在银电极与ITO电极间的银导电细丝。器件的阻变特性归因于在非晶镧锶锰氧层中的银导电细丝的生长与断裂。     

Asymptotic solution for the El Ni no time delay seaben air oscillator model

A sea—air oscillator model is studied using the time delay theory. The aim is to find an asymptotic solving method for the El Ni no-southern oscillation (ENSO) model. Employing the perturbed method, an asymptotic solution of the corresponding problem is obtained. Thus we can obtain the prognoses of the sea surface temperature (SST) anomaly and the related physical quantities.     

Synthesis and properties of novel photochromic bisthienylethenes containing imidazole and imidazolium derivatives

A series of bisthienylethenes containing imidazole and imidazolium derivatives have been prepared and the products have been characterized by means of NMR and MS.Their photochromic and fluorescent switch properties have been investigated by UV–vis absorption spectra and fluorescence spectra.The fluorescent emissions of these kinds of photochromic compounds can be simply modulated by varying the imidazole groups,which shows that these compounds may have potential application in the design of fluorescent photochromic materials.     

地-气耦合动力系统的近似解析解

本文研究了一类地-气耦合系统的非线性模式.利用同伦映射方法，将问题转化为线性问题求解.最后得到了原非线性问题的近似表示式. 关键词： 非线性 地-气耦合 动力系统 同伦映射