A Class of Nonlinear Singularly Perturbed Problems for Reaction Diffusion Equations with Boundary Perturbation

A class of nonlinear singularly perturbed problems for reaction diffusion equations with boundary perturbation are considered. Under suitable conditions, the asymptotic behavior of solution for the initial boundary value problems is studied using the theory of differential inequalities.     

Nitrogen Adatom Diffusion on a Ga－Rich GaN （0001） Surface

The diffusion of N adatoms on a Ga-rich GaN(O001) surface has been studied using density-functional theory.The configuration of Ga adatoms on a Ga-rich GaN surface has been identified. The first adlayer Ga adatoms are on top of the terminating substrate Ga atoms, and the outmost adlayer Ga adatoms exist randomly at the T4 or H3 sites. A very different diffusivity of N adatoms on a Ga-rich GaN(0001) surface has been found. The excess Ga adatoms on a GaN(0001) surface reduce the diffusion barrier by 0.75eV and influence the migration path. It seems that bilayer Ga adatoms are helpful for N atom diffusion.     

RESEARCH ANNOUNCEMENTS On a Singular Diffusion Equation in Nondivergence Form

This paper studies a singular diffusion equation in nondivergence form with the Dirichlet boundary value and initial value Here p > 1,Ω(?) RN is a bounded domain with appropriately smooth boundary (?)Ω, and φ(u) satisfies the following condition (1.1) aries some models describing physical phenomenon. For example, if φ(u) = uq with q ∈[0,1), then (1.1) can be written in divergence form after the change of variables (provided     

电子偶素与正电子-电子对的湮灭

探讨正电子偶素的物理性质以及正电子-电子对的湮灭方式。     

一类拟抛物粘性扩散方程的整体吸引子

本文考虑出现在人口动力学及稳定分层粘性湍动慢剪切流的热与质量传输理论中一类拟抛物粘性扩散方程解的渐近性态．证明了有限维整体吸引子的存在性．     

Possion跳—扩散模型的参数估计

受有序样品聚类思想的启发,针对期权定价模型中的Possion跳—扩散模型,提出了一种基于标的资产价格历史数据的参数估计方法,并得到了较好的结果.     

无限差集类及其应用

若S为Z+的一无限子集,称S-S={n-m|n,m∈S,n>m}为一无限差集.本文研究Z+的子集族F生成的无限差集类(?)F-△={S-S|S∈F)及其对偶族K(?)F-△的性质,并讨论它们在动力系统研究中的应用.     

扩散方程基本解的积分处理

详细讨论了时间相关热交换问题扩散方程基本解的时间积分特性，给出了完整的解析处理及相应级数展开表达式，并提出采用按时段构造的时间单元局部化基本解作为边界元法的加权函数，从而显著减少可动边界问题边界元解法的存贮量和计算时间。     

W/O型乳胶粒子表面电性的近代测试技术

采取近代表面电学测试技术对乳胶粒子表面电性进行微观测量，取得了一系列反映胶粒表面双电层结构的特征参量，证明表面扩散双电层的存在。为完善W／O型乳胶体系的稳定性理论提供了一定实验依据。     

扩散过程在Holder范数下的大偏差

本文利用一种推广的收缩原理，证明扩散过程在Ｈｏｌｄｅｒ范数不大偏差原理仍成立。