A Cahn-Hilliard model in a domain with non-permeable walls

We consider in this article a Cahn-Hilliard model in a bounded domain with non-permeable walls, characterized by dynamic-type boundary conditions. Dynamic boundary conditions for the Cahn-Hilliard system have recently been proposed by physicists in order to account for the interactions with the walls in confined systems and are obtained by writing that the total bulk mass is conserved and that there is a relaxation dynamics on the boundary. However, in the case of non-permeable walls, one should also expect some mass on the boundary. It thus seems more realistic to assume that the total mass, in the bulk and on the boundary, is conserved, which leads to boundary conditions of a different type. For the resulting mathematical model, we prove the existence and uniqueness of weak solutions and study their asymptotic behavior as time goes to infinity.     

Structural and superconducting properties of oxygen-deficient GdBaSrCu3Ox (6.5<x<7.0)

3 O_x with both orthorhombic and tetragonal structure were synthesized using different heat treatments. From each type, a series of oxygen-depleted samples, denoted as “O” and “T”, with oxygen contents 6.5<x<7.0 were prepared by annealing in argon at different temperatures in the range 300–550 °C. For O- and T-samples, superconductivity vanishes below x≈6.8 and x≈6.6, respectively. While T-samples show a continuous variation of both T_c and the unit-cell volume with x, O-samples show coinciding anomalies in these dependences. In all cases, the oxygen loss with respect to fully oxygenated samples was determined by both weight measurements (δ_w) and iodometric titration (δ_t) With T-samples, δ_w and δ_t are in good agreement, whereas with O-samples considerable discrepancies between these values were found. These disparities in the properties of O- and T-samples may be related to differences in the oxygen sublattice. Received: 25 February 1997/Accepted: 27 February 1997     

Lattice dynamics of RbC60, RbC70 and phase transitions in A1C60: A neutron scattering study

1 C₆₀ (A = Rb, Cs, K) and RbC₇₀ have been investigated by neutron scattering. The studies include measurements in the high temperature rotator-, the polymer-, the dimer- and the low temperature isolator-phase and include investigations of the particular phase transitions. It is found that each of the phases can be characterized by specific features of its lattice dynamics which can be used for detailed studies of the dynamics of the rotator-polymer and the dimer-polymer transitions. Particular insight in the lattice dynamics is obtained from model calculations for the RbC₆₀ polymer and dimer phase. Received: 13 September 1996/Accepted: 11 November 1996     

新型核素~(64)Cu标记硝基咪唑类肿瘤乏氧显像剂及正电子发射断层扫描显像研究

采用新型核素64Cu标记了含丙烯胺肟[Pn AO(3,3,9,9-Tetramethyl-4,8-diazaundecane-2,10-dione Dioxime)]结构的硝基咪唑类乏氧显像剂Pn AO-1-(2-nitroimidazole)[BMS181321],通过优化反应条件,于室温下反应10 min后即得到高放化纯度和高比活度的标记化合物64Cu-BMS181321.目标产物经放射性高效液相色谱检测验证和体外稳定性实验确认后,通过尾静脉注射到人源胰腺癌(PANC-1细胞系)裸鼠体内,分别于注射显像剂4和8 h后进行小动物正电子发射断层扫描显像(Micro-PET).结果表明,4 h左右肿瘤乏氧区域有良好的放射性浓聚.64Cu-BMS181321的合成及其分子显像研究开创了64Cu标记硝基咪唑类乏氧显像剂进行乏氧显像的先例,经进一步药物临床实验评价后,64Cu-BMS181321有望成为具有良好前景的PET乏氧显像药物.     

QAM接收机的定时误差估计算法的研究

定时恢复是全数字接收机中的一项关键技术。以Gardner定时误差检测算法为基础,从理论上对算法的计算复杂度、以及整个定时恢复环路实现的难易程度对其进行分析。以64QAM为例对整个环路进行了仿真验证,该算法对载波相位不敏感,并且简单易行,适用于QAM信号的定时恢复。     

基于64K通道的继电保护缺陷分析与改进

针对2起RCS-931型继电保护64K通道的典型故障现象,进行了详细的分析和研究。分析了电流差动保护装置、PCM和光端机通信设备之间的2M、64K通道配合关系,并结合纵联电流差动保护工作原理,在现场通道试验基础上,阐明了通道故障产生的原因,64K保护用通道存在的缺陷,提出了行之有效解决方案和整改措施,为使用64K通道的...     

基于ATmega64L的128点实时FFT

利用ATmega64L单片机的大容量flash存储器和高速数据处理能力,研究了按时间抽取基2FFT算法在ATmega64L单片机中的实现方法,实现了以ATmega64L为核心的手持式振动信号采集器128点浮点格式采样数据的嵌入式实时快速傅里叶变换。验证了该方法对采样数据进行精确有效的快速傅里叶变换(FFT)分析的有效性和准确性,从而实现对设备运行状态及故障的初步诊断。     

Riesz means associated with certain product type convex domain

In this paper we study the maximal operators and the convolution operators Tδ associated with multipliers of the form

     

Multi-variable weighted geometric means of positive definite matrices

We define a family of weighted geometric means {G(t;ω;A)}_t∈[0,1]ⁿ where ω and A vary over all positive probability vectors in Rⁿ and n-tuples of positive definite matrices resp. Each of these weighted geometric means interpolates between the weighted ALM (t=0_n) and BMP (t=1_n) geometric means (ALM and BMP geometric means have been defined by Ando-Li-Mathias and Bini-Meini-Poloni, respectively.) We show that the weighted geometric means satisfy multidimensional versions of all properties that one would expect for a two-variable weighted geometric mean.