多复变中正规权Zygmund空间上的几个性质

本文讨论了多复变中单位球上正规权Zygmund空间Z_μ(B)的一些性质.首先给出了Z_μ(B)函数的一种积分表示,接着证明了Z_μ(B)是正规权Bergman空间A_v~1(B)的对偶空间,其对偶对按如下形式给出:■,其中v(p)=(1-ρ~2)~(β+1)μ~(-1)(ρ)(0≤ρ<1)并且β>max{0,b-1}.最后作为积分表示和对偶的一个应用,作者给出了Z_μ(B)中每个函数的一个原子分解.     

On Compressible Smooth Viscous Fluids in Slowly Expanding Balls

In[17]and[19,20],the global existence and large time behaviors of smooth compressible fluids(including inviscid gases of Euler equations,viscous gases of Navier-Stokes equations,and rarified gases of Boltzmann equation,respectively)have been established in an infinitely expanding ball with a constant expansion speed.This paper concerns with the viscous fluids in a slowly expanding ball.By involved analy-sis on the density function and the weighted energy estimates,we show that the fluid in the slowly expanding ball smoothly tends to a vacuum state and there is no appearance of vacuum in any part of the expansive ball.Our present result is a meaningful supplement to the one in[19].     

柴油舱组集中透气管燃爆危险性及阻隔防爆技术

对常温常压下柴油舱组集中透气管中柴油蒸汽的燃爆危险性以及阻隔防爆技术的抑爆效能开展了实验研究。利用nac HX-3高速相机和CY-YD-205压力传感器记录燃爆传播过程和爆炸超压,阻隔防爆装置分别采用新型抑爆小球和普通波纹型阻火器。结果表明:常温常压下,一旦柴油油舱发生爆炸,爆炸火球可以通过透气管传播到相邻油舱,并引起二次爆炸,具有较大的危险性;普通波纹型阻火器在爆炸过程中阻火失效,而新型抑爆小球具有较好的抑爆效果;相对于光滑透气管工况,在点火舱上方安装抑爆小球后,被点火舱内的最大爆炸超压可以显著地从552.5 kPa降低到35.0 kPa;抑爆小球的中空多孔结构是其阻隔防爆的关键,多孔结构不仅可以增大比表面积、扩大热损失,而且还可以有效地分割削弱反应面。     

Disordered Magnetic Phase in Partially Oxidized Bulk Nanocrystalline Iron

Magnetically frozen partially disordered state was observed in nanocrystalline bulk iron prepared by ball-milling of microcrystalline Fe. Role of nanostructure and oxidized fraction is pointed out. Altough we have found a small constituent which is proportional to 1/T in the ZFC curve, the magnetization scaling with T ^3/2 at high fields and the hysteretic behavior in FC-ZFC curves signalizes the presence of frozen ferromagnet at low temperatures.     

Hybrid Comminution with High‐Pressure Roller and Stirred Bead Milling

This paper presents the experimental results on the wet grinding of a moist calcium carbonate material in a hybrid comminution system, which consists of a high pressure roller mill (HPRM) and a subsequent stirred bead mill. The results show that the pre‐treatment of the material with the HPRM could result in energy saving and efficient size reduction during the subsequent wet ultra‐fine grinding in the stirred bead mill. It was found that the level of fineness of the ground product is dramatically influenced by the number of repeat passes of pre‐grinding in the HRPM. The formation of micro‐cracks in the particles under compressive loads was discussed in order to elucidate the role of the HRPM as a pre‐grinder in the hybrid comminution system. The simulated breakage behaviors of various irregular shaped particles indicate that the tortuous micro‐crack propagation paths and the crack branching behavior are related to the heterogeneity of the particle and the stress distributions.     

Small ball probabilities for Gaussian processes with stationary increments under Hölder norms

Small ball probabilities are estimated for Gaussian processes with stationary increments when the small balls are given by various Hölder norms. As an application we establish results related to Chung's functional law of the iterated logarithm for fractional Brownian motion under Hölder norms. In particular, we identify the points approached slowest in the functional law of the iterated logarithm.Supported in part by NSF Grant DMS-9024961.     

压力下Ti60Si40纳米晶的固相反应

 利用球磨方法制备出Ti₆₀Si₄₀纳米晶混合物，研究了该混合物在不同静压力下固态反应，利用X射线衍射和电子显微镜分别研究了样品中的相组成。实验结果表明，球磨过程中生成的微量新的亚稳相可以在适当的压力和温度条件下长大，但其长大速率却随压力的增加而减小。在常压下进行相同温度和时间的热处理，则只有纳米晶的长大而没有固相反应发生。     

The convergence analysis of inexact Gauss–Newton methods for nonlinear problems

In this paper, inexact Gauss–Newton methods for nonlinear least squares problems are studied. Under the hypothesis that derivative satisfies some kinds of weak Lipschitz conditions, the local convergence properties of inexact Gauss–Newton and inexact Gauss–Newton like methods for nonlinear problems are established with the modified relative residual control. The obtained results can provide an estimate of convergence ball for inexact Gauss–Newton methods.     

Randomization of Q_p spaces on the unit ball of C~n

In this paper, we study the random power series of several complex variables, and give some sufficient conditions for random power series to belong to Qp and Qp,0 spaces by means of their characterizations of Carleson measure. Moreover, we show that such conditions are best possible in some sense.     

Boundedness of admissible area function on nonisotropic Lipschitz space

Let be the unit ball in , let be the unit sphere, and let be the admissible area function. In this paper, we show that if , then and there exists a constant such that .