Estimation over Curves of the Functions Given by Dirichlet Series on a Half-Plane

We study the maximal term of the Hadamard composition of Dirichlet series with real exponents. We obtain a lower estimate for the sum of a Dirichlet series over a curve arbitrarily approaching the convergence line.     

无简并微扰论公式的研究

本文介绍了Ｗｉｇｎｅｒ公式，Ｇｏｌｄｓｔｏｎｅ公式与Ｓｃｈｒｏｄｉｎｇｅｒ公式及其递推形式，比较表明，Ｓｃｈｒｏｄｉｎｇｅｒ公式的递推形式更容易利用计算机程序实现。文中还给出了逐级计算非连通项到任意级的方法。     

妊娠晚期羊水中微量元素测定及其与胎儿生长发育关系的研究

对１０２名足月正常妊娠第一胎的产妇妊娠晚期羊水中６种微量元素（锌、铜、锰、铁、钙、镁）首次进行了测定，并通过对出生新生儿生长发育的监测探讨其与胎儿生长发育的关系。妊娠晚期羊水中６种微量元素含量（±Ｓ／×１０－５）分别为：Ｚｎ２．２９±１．７７，Ｃｕ０．１４±０．１４，Ｍｎ０．１３±０．２３，Ｆｅ３．６９±２．７０，Ｃａ８２．５４±７４．１８，Ｍｇ１８．７１±１１．０９．男女新生儿其母羊水中微量元素含量比较无显著差异，Ｐ≥０．０５．与文献报道中期妊娠羊水中所含微量元素比较有增加趋势．６种微量元素相互关系中．与锌、钙呈正相关外，锌与铜、锰、铁、镁呈负相关．低体重组与低身长组新生儿孕母羊水中锌含量明显低于高体重组和高身长组，有显著差异，Ｐ≤０．０１．铁在高身长组含量增高，与低身长组比较有显著差异，Ｐ≤０．０５．锰于低体重组含量升高，与高体重组比较有显著差异，Ｐ≤０．０１．镁与铜于低身长组含量升高，与高身长组比较有显著差异，Ｐ分别≤０．０５与０．０１．可见高铜、高锰、高镁可致胎儿生长发育迟缓．     

T-STRESS IN PIEZOELECTRIC SOLID

The non-singular and bounded terms for stresses near the crack tip were investigated. The crack problem in a transversely isotropic piezoelectric solid for the plane problem was dealt with. The principle of superposition and the Plemelj formulation were introduced. The non-singular terms are given by solving Rieman-Hilbert problem. It is shown that the non-singular terms are influenced by the elastic and electric constants.     

Transport of salts and micron-sized particles entrained from a boiling water pool

The entrainment of soluble (KI, CsI) and non-soluble (Al₂O₃) substances through droplets, which are produced by disintegrating steam bubbles at the surface of a boiling water pool, is determined in a pilot-scale facility. Integral measurements are conducted at steady-state conditions in an atmosphere of either pure steam or an air–steam mixture. The ratio of the entrained liquid mass flow and the gas mass flow through the pool, the entrainment factor, is determined for air–steam ratios between 0 and 0.47 kg/kg in the gas atmosphere and at constant total pressures between 2 and 6 bar. The influence of the vertical temperature profile in the gas atmosphere on the convective velocity field is demonstrated by phase Doppler anemometry and particle image velocimetry measurements at a location 2.1 m above the pool surface. The influences of nucleation and natural convection are demonstrated during slow de-pressurization of the facility at rates below 420 Pa/s.     

Divided-difference equation and three-term recurrence relations of some systems of bivariate q-orthogonal polynomials

Partial divided-difference equations and three-term recurrence relations satisfied by the bivariate Askey–Wilson and the bivariate q-Racah polynomials are computed in this work. By using limiting processes, partial divided (or q)-difference equations and three-term recurrence relations are also provided for each of the following families of orthogonal polynomials: the bivariate continuous dual q-Hahn, the bivariate Al-Salam-Chihara, the bivariate continuous q-Hahn, the bivariate q-Hahn, the bivariate dual q-Hahn, the bivariate q-Krawtchouk, the bivariate q-Meixner, and the bivariate q-Charlier polynomials.     

Intrinsic decay rate estimates for abstract wave equation with memory

In this paper, we consider an abstract wave equation in the presence of memory. The viscoelastic kernel g(t) is subject to a general assumption , where the function H(·)∈C¹(R⁺) is positive, increasing and convex with H(0)=0. We give the decay result as a solution to a given nonlinear dissipative ODE governed by the function H(s). Copyright © 2017 John Wiley & Sons, Ltd.     

General decay of solutions of a wave equation with memory term and acoustic boundary condition

In this paper, the global solvability to the mixed problem involving the wave equation with memory term and acoustic boundary conditions for non‐locally reacting boundary is considered. Moreover, the general decay of the energy functionality is established by the techniques of Messaoudi. Copyright © 2016 John Wiley & Sons, Ltd.