Spectroscopic study of solid-state photoreaction in organic crystal: Photopolymerization of dimethyl ester of α,α′-dicyano-p-phenylenediacrylic acid and diethyl ester of p-phenylenediacrylic acid

Raman spectroscopy has been used to study solid-state photopolymerization reactions in dimethyl ester of α,α′-dicyano-p-phenylenediacrylic acid (p-CPAMe) and diethyl ester of p-phenylenediacrylic acid (p-PDAEt). The reactants and products were characterized by infrared and Raman spectroscopy. Excitation and emission spectra suggest that in p-CPAMe exciton–phonon coupling is strong, but in the other monomer it is very weak. Raman phonon spectroscopic study reveal that in both the samples the reaction mechanism is homogeneous in the initial stages. However, in the later stages the reaction becomes heterogeneous in p-PDAEt. In p-CPAMe the lattice becomes disordered with the progress of polymerization and finally becomes amorphous whereas in p-PDAEt the lattice remains highly ordered. © 1992 John Wiley & Sons, Inc.     

Eu1—xTbxBa2Cu3O7—δ中Tb离子价态的研究

研究了BaTbO_3、Tb_4O_7、TbFeO_3的Tb_(4d)XPS谱,找到了表征Tb~(3+)、Tb~(4+)的特征峰,得出的高、低结合能峰强之比与Tb~(4+)/Tb含量间的依赖关系,可用于确定Eu_(1-x)Tb_xBa_2Cu_3O_(7-δ)中“123”相的Tb离子混合价态,用常压高温烧结法,未能获得纯“123”单相,也不易获得纯利Tb~(3+)价态样品.在Eu_(1-x)Tb_xBa_2Cu_3O_(7-δ)中的Tb以Tb~(3+)、Tb~(4+)混合价态存在;当x=0.3时,Tb~(4+)/Tb=0.61.引入Tb~(4+)后“123”主相Cu(2)-O(2)平面上的O_(2p)空穴数降低,这是Tb~(4+)破坏超导电性的一种可能原因。     

Low rank matrix recovery from rank one measurements

We study the recovery of Hermitian low rank matrices $X\in {\mathbb{C}}^{n\times n}$ from undersampled measurements via nuclear norm minimization. We consider the particular scenario where the measurements are Frobenius inner products with random rank-one matrices of the form $a_j{a}_j^{?}$ for some measurement vectors $a_1,\dots ,a_m$, i.e., the measurements are given by $b_j=\mathrm{tr}(X{a}_j{a}_j^{?})$. The case where the matrix $X=x{x}^{?}$ to be recovered is of rank one reduces to the problem of phaseless estimation (from measurements $b_j=|〈x,a_j〉{|}^2$) via the PhaseLift approach, which has been introduced recently. We derive bounds for the number m of measurements that guarantee successful uniform recovery of Hermitian rank r matrices, either for the vectors $a_j$, $j=1,\dots ,m$, being chosen independently at random according to a standard Gaussian distribution, or $a_j$ being sampled independently from an (approximate) complex projective t-design with $t=4$. In the Gaussian case, we require $m\ge Crn$ measurements, while in the case of 4-designs we need $m\ge \mathit{Cr}n\log ?(n)$. Our results are uniform in the sense that one random choice of the measurement vectors $a_j$ guarantees recovery of all rank r-matrices simultaneously with high probability. Moreover, we prove robustness of recovery under perturbation of the measurements by noise. The result for approximate 4-designs generalizes and improves a recent bound on phase retrieval due to Gross, Krahmer and Kueng. In addition, it has applications in quantum state tomography. Our proofs employ the so-called bowling scheme which is based on recent ideas by Mendelson and Koltchinskii.     

Long-time dynamics for a nonlinear Timoshenko system with delay

This paper is concerned with a nonlinear Timoshenko system with a time delay term in the internal feedback together with initial data and Dirichet boundary conditions. Under some suitable assumptions on the weights of feedback, we obtain the existence of a global attractor with finite fractal dimension for the case of equal speed wave propagation. Furthermore, the existence of exponential attractors is also derived.     

动态输入率和服务率设定下的M/M/c模型扩展及其应用

为了解决M/M/c模型中恒定输入率和服务率假设与现实现象不符的问题,本文提出了随系统状态变化的输入概率和服务度,并通过新输入概率与平均输入率以及新服务度与平均服务率的结合分别构造了动态输入率和服务率。基于上述动态输入率和动态服务率,建立了依赖系统当前状态的状态转移过程,从状态转换强度方面优化了排队理论及其度量模型,同时,设计了结合系统实际的后确定法求解动态输入率与服务率的相关参数,从而构建了扩展M/M/c模型。由于输入率和服务率的动态性,扩展M/M/c模型具有比原排队论模型更广的适用范围和精度更高的模拟结果。最后,通过一个生活实例对新模型的有效性和实用性进行验证。     

Stability of the equilibria for periodic Stokesian Hele-Shaw flows

In this paper we consider the 2-dimensional flow of a Stokesian fluid in a Hele-Shaw cell. The motion of the flow is modelled by a modified Darcy’s law. The existence of local solutions has been proved by the authors in a recent work, cf. [4]. The purpose of this paper is to identify the steady states of this flow and to study their stability. The equilibria will be identified as solutions of elliptic free boundary problems. It is shown that if the pressure on the bottom is constant then the corresponding steady state is asymptotically stable.      

Optimal boundary feedback stabilization of a string with moving boundary

Email: gugat{at}am.uni-erlangen.de Received on April 30, 2006; We consider a finite string that is fixed at one end and subjectto a feedback control at the other end which is allowed to move.We show that the behaviour is similar to the situation whereboth ends are fixed: As long as the movement is not too fast,the energy decays exponentially and for a certain parameterin the feedback law it vanishes in finite time. We considermovements of the boundary that are continuously differentiablewith a derivative whose absolute value is smaller than the wavespeed. We solve a problem of worst-case optimal feedback control,where the parameter in the feedback law is chosen such thatthe worst-case L^p-norm of the space derivative at the fixedend of the string is minimized (p [1, )). We consider the worstcase both with respect to the initial conditions and with respectto the boundary movement. It turns out that the parameter forwhich the energy vanishes in finite time is optimal in thissense for all p.     

Semiclassical analysis for highly degenerate potentials

This paper characterizes the semi-classical limit of the fundamental energy,

and ground state of the Schrödinger operator in a bounded domain , in the highly degenerate case when and consists of two components, say and . The main result establishes that

and that approximates in the ground state of in if

     

混合动力汽车控制策略研究现状及发展趋势

混合动力汽车的控制策略及结构决定了整车的行驶性能。根据蓄电池组的荷电状态变化情况,对混合动力汽车的结构型式进行了分类,并对并联型和串联型混合动力汽车控制策略研究现状及其发展趋势进行了分析,指出混合动力汽车的控制策略不十分完善,需要进一步优化。控制策略不仅仅要实现整车最佳的燃油经济性,同时还要兼顾发动机排放、蓄电池寿命、驾驶性能、各部件可靠性及整车成本等多方面要求,并针对混合动力汽车各部件的特性和汽车的运行工况,使发动机、电机、蓄电 池和传动系统实现最佳匹配,兼顾了上述各方面要求的优化控制策略的研究是今后的一个研究重点。还指出,采用小功率电机、小排量发动机配以自动无级变速器的并联型混合动力汽车,是获得较高的燃油经济性、较小的排放、平稳的驾驶性能、较低的制造成本及质量的一种比较理想蝗系统型式。