Non-linear elliptic problems having natural growth and <Emphasis Type="Italic">L</Emphasis><Superscript>1</Superscript> data in Orlicz spaces

An existence result for a strongly non-linear elliptic equation with natural growth condition on the non-linearity and L¹-data is proved. Mathematics Subject Classification (2000) 35J25, 35J60     

Nanocomposite ZnO/Au formation by pulsed laser irradiation

The ZnO/Au nanocomposite formation involves synthesis of Au and ZnO colloidal solutions by 532 nm pulse laser ablation of metal targets in deionized water followed by laser irradiation of the mixed colloidal solution. The transmission electron microscope (TEM) and high-resolution transmission electron microscope (HRTEM) images show evolution of spherical particles into ZnO/Au nanonetworks with irradiation time. The formation mechanism of the nanonetwork can be explained on the basis of near resonance absorption of 532 nm irradiation by gold nanoparticles which can cause selective melting and fusion of gold nanoparticles to form network. The ZnO/Au nanocomposites show blue shift in the ZnO exciton absorption and red shift in the Au plasmon resonance absorption due to interfacial charge transfer.     

Error analysis for finite element methods for steady natural convection problems

We analyze the error in finite element methods in approximating, so-called, free or natural convection problems. We also include the effects of conducting solid walls in our analysis. Under a uniqueness condition on the Rayleigh and Prandtl numbers (which we derive), we give direct, quasioptimal error estimates for “div-stable” finite element spaces for the fluid variables and general conforming finite element spaces for the temperature. At larger Rayleigh numbers, we give analogous, asymptotic error estimates, basing this analysis upon local uniqueness properties of the true solution (u p T), which we also establish.     

Linked Primes and Orders in Artinian Rings

It is shown that prime ideals of a Noetherian ring are linked if and only if certain corresponding prime ideals are linked in an associated Artinian ring. Furthermore, it is shown that there is a canonical linking ideal, which can be found by using a construction based on middle annihilator ideals.     

高校创新型科研团队行为模式研究——以生命科学部高校国家重点实验室为例

国家重点实验室作为高校创新型科研团队的"国家队",是我国基础研究的核心力量和重大创新成果的摇篮,更是培养高层次科技人才的基地.研究高校创新型科研团队组织分布、管理结构、团队成员组成、科研、学术交流等具体行为模式特征,将是进一步发展和完善高校创新型科研团队的有力切入点,也将为相关科研政策的改进和完善提供参考依据.     

专业化与研究性——面向工科专业开设的专业研究教学实验

本文针对国内高校尤其是工科院校学生培养中普遍存在的教学环节设置低年级专业渗透不够、高年级研究性不足的问题,提出开设贯穿于四年的工科学生培养专业研究实践教学模式。文章阐述了工科大学专业研究实验的研究性与专业化思想,在此基础上提出应根据学生在学习过程中所处的不同学习阶段有侧重的选择实验项目,以期帮助学生理解基础课程与专业课程之间的知识关联、形成统一的学科知识体系,满足后续工作、科研的需求的同时培养他们对于专业的感情。文章在此基础上,依据所提出的教学模式给出了相应的教学实验示例。旨在为应用工程类专业学生培养提供一种新的教学思路和教学模式,调动学生主观能动性的同时推进学研结合。     

Approximate dynamic programming algorithms for optimal dosage decisions in controlled ovarian hyperstimulation

In the controlled ovarian hyperstimulation (COH) treatment, clinicians monitor the patients’ physiological responses to gonadotropin administration to tradeoff between pregnancy probability and ovarian hyperstimulation syndrome (OHSS). We formulate the dosage control problem in the COH treatment as a stochastic dynamic program and design approximate dynamic programming (ADP) algorithms to overcome the well-known curses of dimensionality in Markov decision processes (MDP). Our numerical experiments indicate that the piecewise linear (PWL) approximation ADP algorithms can obtain policies that are very close to the one obtained by the MDP benchmark with significantly less solution time.     

Low density approximation for diffusion annealing

The problem of annealing of Frenkel-pairs in electron irradiated fee metals due to diffusion of interstitials is treated starting from exact equations for single particle densities, pair densities, etc. The mobile interstitials are considered to interact with vacancies (leading to recombination), impurity atoms (leading to interstitial-impurity complexes) and with each other (leading to interstitial clusters).

By using the superposition approximation, i.e. replacing three-particle probabilities by products of two-particle probabilities we obtain generalized Waite equations. For low defect densities the annealing is at different times governed by different processes. For short times the important process is the recombination of an interstitial with the near-by correlated vacancy generated by the same electron impact event, the so-called correlated recovery. For long times the remaining interstitials undergo long range migration and interact with uncorrelated sinks. During this process interstitial impurity complexes and interstitial clusters are formed.

The time dependence of the defect densities, the remaining fraction of defects after completion of diffusion annealing and the size distribution of interstitial clusters are calculated. Detailed comparison with experiments in Cu and Pt will be made.     

In situ study of self-ion irradiation damage in W and W–5Re at 500 °C

In situ self-ion irradiations (150?keV?W⁺) have been carried out on W and W–5Re at 500?°C, with doses ranging from 10¹⁶ to 10¹⁸ W⁺m^?2 (～1.0?dpa). Early damage formation (10¹⁶W⁺m^?2) was observed in both materials. Black–white contrast experiments and image simulations using the TEMACI software suggested that vacancy loops were formed within individual cascades, and thus, the loop nucleation mechanism is likely to be ‘cascade collapse’. Dynamic observations showed the nucleation and growth of interstitial loops at higher doses, and that elastic loop interactions may involve changes in loop Burgers vector. Elastic interactions may also promote loop reactions such as absorption or coalescence or loop string formation. Loops in both W and W–5Re remained stable after annealing at 500?°C. One-dimensional hopping of loops (b?=?1/2 ?111>) was only seen in W. At the final dose (10¹⁸W⁺m^?2), a slightly denser damage microstructure was seen in W–5Re. Both materials had about 3–4?×?10¹⁵ loops m^?2. Detailed post-irradiation analyses were carried out for loops of size???4?nm. Both b?=?1/2 ?111? (～75%) and b?= ?100> (～25%) loops were present. Inside–outside contrast experiments were performed under safe orientations to determine the nature of loops. The interstitial-to-vacancy loop ratio turned out close to unity for 1/2 ?111? loops in W, and for both 1/2 ?111? and ?100? loops in W–5Re. However, interstitial loops were dominant for ?100? loops in W. Re seemed to restrict loop mobility, leading to a smaller average loop size and a higher number density in the W-Re alloy.