Interfacial reaction of silver ultra-thin film deposited on interpenetrating polymer network substrate by liquor-phase reduction

The interfacial reaction, metal transformations, and nonmetal bond types of silver ultra-thin film deposited on polyurethane (PU) based interpenetrating polymer networks (IPN) substrate by the liquor-phase reduction at room temperatures were studied by atomic force microscope (AFM), X-ray photoelectron spectroscopy (XPS) and attenuated total reflection Fourier transform infrared spectroscopy (ATR-FTIR). The IPN substrate was prepared by dip-pulling precursors onto a silicon wafer or a glass plate, followed by solidification at room temperature. The interpenetrate structures of IPN with two crosslinked networks restricted the aggregation of silver during the reduction and deposition. The devised -OH terminal group in PU simplified the determination of reactive site in IPN and reinforced the adhesion between IPN and silver through interfacial reaction. The XPS results, which matched well with the ATR-FTIR results, verified the chemical reactive site of PU in IPN with silver in the oxide state.     

Elliptic reconstruction and a posteriori error estimates for parabolic optimal control problems

In this article, a semidiscrete finite element method for parabolic optimal control problems is investigate. By using elliptic reconstruction, a posteriori error estimates for finite element discretizations of optimal control problem governed by parabolic equations with integral constraints are derived.     

A superconvergent $L^{\infty}$-error estimate of RT1 mixed methods for elliptic control problems with an integral constraint

In this paper, we investigate the superconvergence property of mixed finite element methods for a linear elliptic control problem with an integral constraint. The state and co-state are approximated by the order $k=1$ Raviart-Thomas mixed finite element spaces and the control variable is approximated by piecewise constant functions. A superconvergent approximation of the control variable $u$ will be constructed by a projection of the discrete adjoint state. It is proved that this approximation have convergence order $h^{2}$ in $L^{\infty}$-norm. Finally, a numerical example is given to demonstrate the theoretical results.     

Vanishing viscosity limit for the 3D nonhomogeneous incompressible Navier–Stokes equations with a slip boundary condition

In this paper, we investigate the vanishing viscosity limit for the 3D nonhomogeneous incompressible Navier–Stokes equations with a slip boundary condition. We establish the local well‐posedness of the strong solutions for initial boundary value problems for such systems. Furthermore, the vanishing viscosity limit process is established, and a strong rate of convergence is obtained as the boundary of the domain is flat. In addition, it is needed to add some additional condition for density to match well the boundary condition. Copyright © 2017 John Wiley & Sons, Ltd.     

用于薄膜沉积的XeCl激基激光器研制

以镀制半导体薄膜、巨磁薄膜、金刚石及其它薄膜,外延生长及后续的光刻,激光与物质的相互作用、等离子体研究为目的,设计、研制了脉冲放电激励的XeCl激基激光器.试验结果表明:激光脉宽18ns,单脉冲能量150mJ,矩形光斑大小2cm×1cm,束散角3mrad,最高重复频率5HZ.与同类激光器相比,具有结构简单、造价低廉、性能稳定等特点.     

一类奇异摄动扩散方程的正则半群的吸引子的上半连续性

该文对一类奇异摄动扩散方程u\-t-εΔu\-t-Δu=f(u)的正则半群的渐近行为进行了研究。 得到了其全局吸引子的存在性及全局吸引子在ε=0的上半连续性.     

A BOUNDARY ELEMENT METHOD FOR STEADY SHIP WAVE-MAKING POTENTIAL PROBLEMS

A boundary element method for three-dimensional steady ship wave-making potentialproblems is established with the Rankine souree function as its fundamental solution.In the treatmentof the linearized free surface condition,one sided.upstream finite difference operator(FDO)is usedto suppress the upstream waves,and the equation of the disturbance velocity is established so that thefirst order FDO can be used in place of the second order FDO.Compared with the method with the sec-ond order FDO,the current method gives better precision and stability.Numerical examples are pre-sented for verification.     

流固偶合运动的边界元法

本文给出了流固偶合运动(包括物体散射辐射及偶合运动)的边界元法理论和应用.对于散射问题,求出了物体引起的散射势及入射波作用于物体的载荷.对于辐射问题,求出了辐射势及物体在流体中运动的附加质量和附加阻尼.偶合问题包括求其中包含的散射势和辐射势以及作用于物体之上的散射力、物体的附加质量、附加阻尼、物体在入射波作用下的运动.在偶合运动问题中,本文采取了边界积分方程与物体在流体中的运动方程联立求解的方法,并将其运用到边界元法的数值过程中.所编制的程序有较高的精度.最后给出了数值计算结果与理论解的比较.