Energy Decay for the Cauchy Problem of the Linear Wave Equation of Variable Coefficients with Dissipation

Decay of the energy for the Cauchy problem of the wave equation of variable coefficients with a dissipation is considered. It is shown that whether a dissipation can be localized near infinity depends on the curvature properties of a Riemannian metric given by the variable coefficients. In particular, some criteria on curvature of the Riemannian manifold for a dissipation to be localized are given.     

High-Order Energy Decay for Structural Damped Systems in the Electromagnetical Field

This paper is concerned with the decay estimate of high-order energy for a class of special time-dependent structural damped systems represented by Fourier multipliers. This model is widely used in the fields of semiconductivity, superconductivity, electromagnetic waves, electrolyte and electrode materials, etc.     

ACCURATE ATTENUATION CORRECTION FOR ALGEBRAIC RECONSTRUCTION TECHNIQUE IN SPECT

We present a new iterative reconstruction algorithm to improve the algebraic reconstruction technique （ART） for the Single-Photon Emission Computed Tomography. Our method is a generalization of the Kaczmarz iterative algorithm for solving linear systems of equations and introduces exact and implicit attenuation correction derived from the attenuated Radon transform operator at each step of the algorithm. The performances of the presented algorithm have been tested upon various numerical experiments in presence of both strongly non-uniform attenuation and incomplete measurements data. We also tested the ability of our algorithm to handle moderate noisy data. Simulation studies demonstrate that the proposed method has a significant improvement in the quality of reconstructed images over ART. Moreover, convergence speed was improved and stability was established, facing noisy data, once we incorporate filtration procedure in our algorithm.     

一类具有动力边界条件的进化方程解的衰减性

本文研究了一类具有动力边界条件的方程解的衰减性.利用能量扰动法,得到了解的衰减性与外力f(x,t)之间的关系,即它们具有相同的指数衰减性和代数衰减性.     

Stokes 流动中的 Phragmén-Lindel(o)f型及其连续相关性的结果

就三维半无限柱体上的Stokes流动,研究边端效应的渐近性质.柱体水平面上的速度满足均匀的Dirichlet条件时,发现问题的解,随柱体有限端的距离,或呈指数增长,或呈指数衰减.最后讨论了方程参数的摄动影响.     

Energy decay for the elastic wave equation with a local time-dependent nonlinear damping

In this paper, we shall investigate the decay property of the solutions to the initial-boundary value problem for the elastic wave equation with a local time-dependent nonlinear damping. We give some decay rate of the energy when the damping term is effective only in a neighborhood of a suitable subset of the boundary. The results obtained in this paper extend, in particular, the known results for the scalar wave equation.     

达到某类最佳索伯列夫嵌入常数极小元的渐近估计

本文讨论了达到某类索伯列夫空间最佳嵌入常数的极小元在无穷远处的衰减,在一定范围内给出了衰减的精确估计.一般情形下这类极小元不存在显性表达式.     

新仪器,新设备

TS2kW/20KC超声波清洗机产品定型鉴定会于1987年4月4日在清华大学举行.会议由中国仪器仪表学会副理事长唐统一教授主持.与会代表来自14个单位,其中有电子学、声学方面的专家、教授、高级工程师.大家认真细致地审查了技术报告、技术资料、各厂家的使用报告及768厂的例行试验报告,并在现场对样机进行了详尽的考察和试验.     

超声波轴向应力仪的研制

本文叙述了用超声方法测量材料轴向应力的计算公式,介绍了超声波轴向应力仪的工作原理,并利用该仪器对M36×260高强度螺栓进行了轴向应力的测量。实验结果表明:该仪器的声时测量精度为10~(-10s),轴向应力的测量精度优于0.4kgf/mm~2(约3.9N/mm~2)。