非线性年龄依赖种群分布模型的偏指数增长性

讨论了一类非线性年龄依赖种群分布模型的偏指数增长性，此外还得到了对应的线性模型在测度空间的适应性。     

THE GROWTH OF THE VOID IN A HYPERELASTIC RECTANOULAR PLATE UNDERA UNIAXIAL EXTENSION

1.IntroductionInrecenttenyears,thevoidformationandgrowthinhyperelasticmaterialhaveattractedmoreandmoreattentionandinterest.Theearliertestsfoundthatthenucleationofthemicro-voidwouldbepossibleduringthestretchingdeformationinmaterandrubbermaterials.However,t…     

A new photoluminescence emission peak of ZnO-SiO2 nanocomposites and its energy transfer to Eu ions

This work reports a new photoluminescence (PL) emission peak at about 402 nm from amorphous ZnO nanoparticles in a silica matrix, and the energy transfer from it to Eu³⁺ ions. The amorphous ZnO-SiO₂ nanocomposites were prepared by the sol-gel method, which is verified by X-ray diffraction (XRD) profiles and FT-IR spectra. The luminescence emission spectra are fitted by four Gauss profiles, two of which at longer wavelength are due to the defects of the material and the others to amorphous ZnO nanoparticles and the Zn-O-Si interface state. With the reduction of Zn/Si ratio and diethanolamine, the relative intensities of visible emission decrease. The weak visible emission is due to the reduction of defects after calcined at high temperature. The new energy state at the Zn-O-Si interface results in strong emission at about 402 nm. When Eu³⁺ ions are co-doped, weak energy transfer from ZnO-SiO₂ nanocomposites to Eu³⁺ emission are observed in the excitation spectra.     

THE ZERO AND ORDER OF SOME SECOND ORDER LINEAR DIFFERENTIAL EQUATIONS WITH TRANSCENDENTAL MEROMORPHIC COEFFICIENTS

ＴＨＥＺＥＲＯＡＮＤＯＲＤＥＲＯＦＳＯＭＥＳＥＣＯＮＤＯＲＤＥＲＬＩＮＥＡＲＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＳＷＩＴＨＴＲＡＮＳＣＥＮＤＥＮＴＡＬＭＥＲＯＭＯＲＰＨＩＣＣＯＥＦＦＩＣＩＥＮＴＳＣＨＥＮＺＯＮＧＸＵＡＮＡｂｓｔｒａｃｔ：Ｉｎｔｈ...     

An Improved Solow—Swan Model

§1.　IntroductionThetheoryofeconomicgrowthisanimportanttopicinMacroeconomics.Afterador-mancynearlytwodecades,thestudyofeconomicgrowthbecamevigorousagaininthemid-1980s.TheSolow-Swanmodel[1]isoneofthemostusedinthisfield.Thismodelhasarousedmanyresearchersinterestintherecentyears.N.G.Manki,etal(1992)[2]appliedthismodeltoexaminewhetheritisconsistentwiththeinternationalvariationinthestandardofliving.W.Easterly(1993)[3]gavearevisedSolow-SwanmodelbyintroducingtheCESproductionfunction.Inthepaper…     

Luminescence properties of Tb and Eu-doped alumina films prepared by sol-gel method under various conditions and sensitized luminescence

Rare earth ion (Tb³⁺ and Eu³⁺)-doped alumina films were prepared by the aqueous sol-gel method under various conditions. The influences of the OH groups (phonon relaxation) and rare earth ion concentration (cross-relaxation) on luminescence were examined. In regard to the former relaxation, at treatment temperature above 600°C, reciprocal lifetime decreased with OH concentration, and below 500°C, decreased markedly and nonlinearly. On the other hand, in regard to the latter relaxation, there was negligible effect on luminescence for these doped films. The quantitative treatment was tried to lifetime considering these influences. Tb³⁺ and Eu³⁺ co-doped alumina films showed enhanced Eu³⁺ luminescence by the energy transfer from Tb³⁺ to Eu³⁺. Eu³⁺ luminescence intensity increased with a greater Tb³⁺ concentration.     

Modeling of Wormhole Growth in Cold Production

Cold production is a non-thermal process in which sand is intentionally produced with the oil in order to enhance oil recovery. Two experiments were performed to investigate the effect of producing large quantities of sand on the overall permeability of a formation. A large high porosity channel (wormhole) was observed in both experiments. A model of wormhole growth was successfully tested in two sand production experiments simulating the growth of a wormhole from a perforation in a vertical well. The produced volumes of oil, sand and gas, the pressure distribution along the pack and the final length of the wormholes were well predicted. The two sand packs had significantly different cohesive strengths. The strength of the sand did not have a significant effect on the growth of the wormholes. The formation of tensile failure bands at the wormhole surface, as observed in the experiments, may weaken the sand and allow it to be fluidized more easily. This weakening effect would explain the lower pressure gradients calculated at the surface of the wormhole while it developed compared to the critical pressure gradient for sand production predicted by Bratli and Risnes (1981).     

Die Beeinflussung des Kristallhabitus beim chemischen Transport

On the Influence of Chemical Transport on the Habit of Crystals The chemical transport of silicon with silicon tetrachloride as transporting agent leads to crystals with octahedral shape. On the other hand in the presence of adsorbable impurities the transported silicon crystallizes in the shape of long needles. Chemical transport reactions of tellurium are successful with iodine or sulphur. The presence of adsorbable transporting agents has considerable influence on the habit of crystals.     

一个肿瘤生长自由边界问题解的渐近性态

该文研究根据Byrne和Chaplain的思想建立的一个描述抑制物作用下无坏死核肿瘤生长的数学模型, 这个模型是一个非线性反应扩散方程组的自由边界问题. 作者运用反应扩散方程理论中的上下解方法结合自由边界问题的迭代技巧, 研究了解的渐近性态, 在营养物消耗函数f、抑制物消耗函数g和肿瘤细胞繁衍函数S的一些一般条件下,证明当常数c₁,c₂(肿瘤细胞分裂速率和营养物、抑制物扩散速率的比值)都非常小时,在一定的初边值条件下肿瘤趋于消失,在另外一些初边值条件下肿瘤半径趋于一个常数,进而时变解将趋于一个稳态解.     

Optimal growth and recursive utility: Phase diagram analysis

The dynamics of the one-sector optimal growth model with recursive utility is analyzed through the use of a phase diagram. The steady state uniquely exists and is a saddle point. An increase in recursivity lowers both the steady-state capital and steady-state consumption. The model differs from the constant discount rate model in that a reduction in the population growth rate or a Hicks-neutral technical progress increases the steady-state consumption but not necessarily the steady-state capital.This research was supported in part by Indiana University through an Outstanding Young Faculty Award for which the author is grateful.The author is particularly indebted to Robert Becker and John Boyd for a careful reading of and detailed comments on an earlier draft, and to Frank Raymond and an anonymous referee for suggesting various expositional improvements. He is also indebted to Roy Gardner, Nori Hashimoto, and Nicolas Spulber for their suggestions.