A converse comparison theorem for anticipated BSDEs and related non-linear expectations

The converse comparison theorem has received much attention in the theory of backward stochastic differential equations (BSDEs). However, no such theorem has been proved for anticipated BSDEs. In this paper, we derive a converse comparison theorem by first giving an existence and uniqueness theorem for adapted solutions of anticipated BSDEs with a stopping time and then related to (f,δ)$(f,\delta )$-expectations induced by anticipated BSDEs.     

Ca3-xCexCo4O9+δ陶瓷的制备与电输运性能

采用柠檬酸溶胶-凝胶法制备了掺Ce的钴酸钙(Ca3Co4O9+δ)陶瓷,通过TG-DSC、XRD和SEM对样品进行表征,研究了Ce掺杂对电导率、Seebeck系数和功率因子的影响。结果表明:陶瓷样品的断面形貌呈片层状。随着Ce掺杂量的增加,样品的导电机制发生变化,测试温度范围内样品的电导率和功率因子下降,Seebeck系数先增加后下降。     

L-预拓扑空间中的近似L-开集及相关的连通性和范畴性质

研究L-预拓扑空间中L-开集的一些近似形式(其中L是有逆合对应的C-格):θ-L-开集,δ-L-开集,α-L-开集以及β-L-开集。证明了(1)当L的最大元1是并既约元时L-预拓扑空间的连通性、θ-连通性、δ-连通性和α-连通性是等价的;(2)θLTop是LTopsθ、LTop以及LTopθ的反射满子范畴,δLTop是LTopsδ和LTopδ的反射满子范畴;(3)当格L为幂集格时αLTop是LTopsα和LTopα的余反射满子范畴;θLPTop是LPTopsθ、LPTop以及LPTopθ的反射满子范畴,δLPTop是LPTopsδ和LPTopδ的反射满子范畴。     

THE VANISHING PRESSURE LIMIT OF SOLUTIONS TO THE SIMPLIFIED EULER EQUATIONS FOR ISENTROPIC FLUIDS

In this paper,the Riemann problem of the 1-D reduced model for the 2-D Euler equations is considered and the Riemann solutions are obtained.It is proved that,as the pressure vanishes,they converge to two kinds of Riemann solutions to the 1D reduced model for the 2-D transport equations:one contains δ-shocks,the other contains vacuum.     

Intrinsic tunneling study of underdoped Bi2Sr2-xLaxCuO6+δ superconductors

We report on a tunneling study of underdoped submicron Bi₂Sr_2-xLa_xCuO_6+δ (La-Bi2201) intrinsic Josephson junctions (IJJs), whose self-heating is sufficiently suppressed. The tunneling spectra are measured from 4.2 K up to the pseudogap opening temperature of T^* = 260 K. The gap value found from the spectral peak position is about 35 meV and has a weak temperature dependence both below and above the superconducting transition temperature of T_c = 29 K. Since the superconducting gap should have a value of 10-15 meV, our results indicate that the pseudogap (～35 meV) plays an important role in the underdoped La-Bi2201 intrinsic tunneling spectroscopy down to the lowest temperature of 4.2 K. However, the contribution of the superconducting gap can be separated by normalizing the spectra to the one near and above T_c, which shows that the IJJs can be a useful tool for the study of the electronic properties of the La-Bi2201 cuprate superconductors.     

A result on certain coset subalgebras of the βγ-system

In this paper, for the highest weight module V4 of sl(2,C) with the highest weight 4, we describe subalgebras Sβ(V4)θ+ and Sγ(V4)θ+ of the βγ-system coset S(V4)θ+ by giving their generators. These coset subalgebras are interesting, new examples of strongly finitely generated vertex algebra.     

铁磁/半导体/铁磁结构的双量子环自旋输运的特性

研究了与铁磁/半导体/铁磁结构相关的双量子环自旋输运的规律,研究结果表明：总磁通为零条件下,铁磁电极磁化方向反平行时,双量子环与单量子环相比提高了自旋电子透射概率的平均值.铁磁电极磁化方向平行时,双量子环对提高自旋向下电子平均透射概率的效果更明显;双量子环受到Rashba自旋轨道耦合作用影响时,自旋电子的平均透射概率明显高于单量子环,即使再加上外加磁场的影响,透射概率较高这一特征依然存在;双量子环所含的δ势垒具有阻碍自旋电子输运的作用,随δ势垒强度Z的增大透射概率 关键词： 双量子环 Rashba自旋轨道耦合 透射概率 δ势垒')" href="#">δ势垒     

BaCo0.7Fe0.2Nb0.1O3-δ膜反应器还原侧表面反应机理

研究了BaCo0.7Fe0.2Nb0.1O3-δ(BCFN)透氧膜反应器还原侧表面反应机理, 分析了表面催化微粒及催化床对膜反应器的作用. 提出了“催化解离机制”是构成甲烷重整BCFN膜反应器透氧量上升的主要原因; CH4, H2及CO在BCFN膜表面的反应活性依次为H2>CO>CH4; 当CH4气氛中加入H2或CO时, BCFN膜表面的主要发生由CH4直接氧化转变H2或CO的氧化反应, 同时极大提升了BCFN膜反应器的透氧量; BCFN膜表面氧化反应为“晶格氧”氧化反应模式主导.     

Y(Ba_(1-x)Gd_x)_2Cu_3O_(7-δ)的临界电流密度特征

多晶样品Y(Ba1-xGdx)2Cu3O7-δ(YBGCO)(x=0.0,0.02,0.03,0.05,0.08,0.10)是由标准固相反应法制备获得。XRD的Rietveld精修显示,Gd成功地部分替代YBa2Cu3O7-δ(YBCO)晶胞中的Ba位。实验结果表明,对于某一固定磁场Y(Ba1-xGdx)2Cu3O7-δ的临界电流密度(Jc)在x=0.05有最大值。此外,尽管YBGCO的超导温度(Tc)明显地单调下降,但微量的Gd掺杂导致磁场中YBGCO的Jc的提高。Jc随着Gd掺杂量不同而变化的特征行为可以认为,是由Gd掺杂引起的两种不同的效果竞争共同作用造成的,即纳米尺度范围内空间分布不均匀性和超导性的变化。     

Palladium-catalyzed carbonylative/decarboxylative cross-coupling of α-bromo-ketones with allylic alcohols to γ,δ-unsaturated ketones

In this communication, a palladium-catalyzed carbonylative/decarboxylative cross-coupling of α-bromo-ketones with allylic alcohols has been developed. With Mo(CO)₆ as the CO source, γ,δ-unsaturated ketones were isolated in good yields. The release of CO₂ was confirmed as well.