不可压膨胀流边界层方程组变换问题整体弱解的存在唯一性

通过引进变换,证明了如果初边值充分光滑并满足某一增长性条件,则在顺压的条件下,当幂律流体的指标n∈(1,1+√2)时,不可压缩膨胀流边界层方程组的变换问题存在唯一的整体弱解.     

非定常边界层问题整体解的存在唯一性

研究粘性不可压缩流体中的边界层问题. 通过引进变换, 将原来边界层问题化为仅含有一个方程的拟线性抛物方程的初边值问题. 对于不同情形, 分别证明了该问题整体解与局部解的存在唯一性.     

时间分辨激光光散射测量系统

自选设计，装配了一套时间分辨的激光光散射测量系统，该系统摄像机，录像机，计算机和自编的软件实现了一体化的数据采集，显示和分析过程，本文给出了该系统的应用实例，球晶的光散射和环氧树脂的固化反应诱导的相分离过程。     

橡胶改性环氧树脂的固化诱导相分离

研究了一种新型的液体橡胶ZR与环氧树脂的固化反应诱导相分离过程,分别通过时间分辨的激光光散射、光学显微镜研究了两相结构的发展,并用DSC跟踪该体系的固化动力学。结果表明,该固化反应经历了不稳相分离过程(spindodal decomposition),固化动力学过程与相分离过程有强烈的依赖性,固化速度越快,橡胶相尺寸越大;并且当环氧固化反应转化率达80％时,橡胶相结构基本得以固定,最终得到双连续结构。     

THE INVISCID AND NON-RESISTIVE LIMIT IN THE CAUCHY PROBLEM FOR 3-D NONHOMOGENEOUS INCOMPRESSIBLE MAGNETO-HYDRODYNAMICS

In this paper,the inviscid and non-resistive limit is justified for the local-in-time solutions to the equations of nonhomogeneous incompressible magneto-hydrodynamics (MHD)in R~3.We prove that as the viscosity and resistivity go to zero,the solution of the Cauchy problem for the nonhomogeneous incompressible MHD system converges to the solution of the ideal MHD system.The convergence rate is also obtained simultaneously.     

数字化图像测量分析技术——2DFT方法及其应用

采用数字图像分析技术中的两维Ｆｏｕｒｉｅｒ变换方法和一套自行设计、装配的时间分辨的数字图像测量分析系统、研究了聚甲基丙烯酸甲酯／聚醋酸乙烯酯热致相分离的动力学过程，借助扫描器成功地应用于电子显微镜照片的分析。并指出了ＤＩＡ研究方法在应用中需要注意的问题。     

Reaction-induced phase separation in rubber-modified epoxy resin

The phase separation mechanism,and structure development during curing of epoxy with a novel liquid rubber-ZR were investigated by time-resolved light scattering,optical microscope and differential scanning calonmetry (DSC) The mixture loaded with curing agent was a single-phase system in the early stage of curing.When the cure reaction proceeded,phase separation took place via the spinodal decomposition induced by polymerization of epoxy resin.This was supported by the characteristic change of light scattering profile with curing time.Cure reaction plays an important role in the progress of phase separation.The bigger the cure reaction rate is,the longer periodic distance will be.The overall two-phase structure was basically locked in when the conversion approached 80% estimated by DSC,and finally the co-continuous two-phase structure was successfully obtained.