Dirichlet空间上的超循环复合算子

设Bn是复平面C中的单位圆盘(n=1)或复空间Cn中的单位球.众所周知,在Hardy空间上存在丰富的符号在Aut(Bn)中的超循环复合算子.然而,在复平面中单位圆盘上的Dirichlet空间中, 任何复合算子都不能是超循环的.本文则证明,当n>1时,Bn上的Dirichlet空间中确有超循环复合算子.     

复杂阴极保护体系三维有限元建模研究

滨海电厂常以天然海水作冷却水,其碳钢水室和钛管凝汽器在实施阴极保护过程中,要求钢电位应低于-0.85V(vs.SCE),电位过正则碳钢保护不足,而钛的电位则须高于-0.75V(vs.SCE),电位过负则易使钛管发生氢脆损伤.研究牺牲阳极阴极保护,需先得出两种金属在阴极保护过程中的电位分布.本文在设计室建立碳钢水室钛管模型,根据该实验体系阴极保护过程的(稳态极化和恒电流极化)测定获得两种金属有效的边界条件,用有限元(FEM)计算在一个牺牲阳极阴极保护状态得到三维电位分布.计算结果和测量结果基本一致,为优化阴极保护设计提供了理论依据.     

高维非紧支密度函数的小波硬阈值估计

针对一类特殊的密度函数,利用经典的硬阈值小波估计器在高维Besov空间中讨论其L1风险估计,并给出相应上界的证明.值得指出的是上述估计达到了自适应性.这一结果可以看作是Juditsky和Lambert-Lacroix工作[Bernoulli,2004,10(2):187-220]的补充.     

液态锂综合实验平台中液态锂流面与氩等离子体相互作用

介绍了由锂回路、直线等离子体装置及液态锂净化系统等组成的液态锂综合实验回路平台。研究了液态锂与高密度等离子体相互作用、液态锂与结构材料相容性、液态锂净化和液态锂回路热工水力学参数测量等问题。实验结果表明,流动液态锂的蒸发速率与放电电流、氩气流量及磁场强度呈正相关关系。由流动液态锂产生的锂蒸气在轴向分布不具规律性,在径向分布呈高斯分布。流动液态锂的蒸发速率随着实验时间的增长逐渐升高,并趋于稳定。磁场抑制了液态锂的流动性。在磁场和等离子体长时间的作用下,流动液态锂表面生成一层很薄的氧化锂。     

关于量子体系的高效相干能量转移的最优初始化的研究

For an energy transfer network, the irreversible depletion of excited electron energy occurs through either an efficient flow into an outer energy sink or an inefficient decay. With a small decay rate, the energy transfer efficiency is quantitatively reflected by the average life time of excitation energy before being trapped in the sink where the decay process is omitted. In the weak dissipation regime, the trapping time is analyzed within the exciton population subspace based on the secular Redfield equation. The requirement of the noise-enhanced energy transfer is obtained, where the trapping time follows an exact or approximate 1/Γ-scaling of the dissipation strength Γ. On the opposite side, optimal initial system states are conceptually constructed to suppress the 1/Γ-scaling of the trapping time and maximize the coherent transfer efficiency. Our theory is numerically testified in four models, including a biased two-site system, a symmetric three-site branching system, a homogeneous onedimensional chain, and an 8-chromophore FMO protein complex.     

手性液相色谱同时测定土壤中两种二苯醚类除草剂对映体

建立了土壤中两种二苯醚类除草剂对映体的手性液相色谱测定方法.样品用乙腈提取和氯化钠盐析后,上层乙腈经弗罗里硅土固相萃取柱净化后,用手性液相色谱检测.结果表明:两种农药各自对映体的回收率在84.4％-98.3％之间,相对标准偏差在3.2％-12.5％之间.在实际样品中的检出限在0.013-0.016mg/kg之间,定量限在0.043-0.053mg/kg之间.     

Variational principles for two kinds of extended Korteweg—de Vries equations

Variational principles are constructed using the semi-inverse method for two kinds of extended Korteweg—de Vries (KdV) equations, which can be regarded as simple models of the nonlinear oceanic internal waves and atmospheric long waves, respectively. The obtained variational principles have also been proved to be correct.     

Peakon Solutions to Supersymmetric Camassa-Holm Equation and Degasperis-Procesi Equation

In this paper,the supersymmetric Camassa-Holm equation and Degasperis-Procesi equation are derived from a general superfield equations by choosing different parameters.Their peakon-type solutions are shown in weak sense.At the same time,the dynamic behaviors are analyzed particularly when the two peakons collide elastically,and some results are compared with each other between the two equations.