The protection zone for biological population in random environment

A biomathematical model is described by stochastic differential equations with Markovian switching. The long‐time dynamical properties are studied both theoretically and numerically. Results show that both the persistence and extinction have close relationship with environmental noises (white and color noises). These results are of important biological significance for biological conservation. Copyright © 2012 John Wiley & Sons, Ltd.     

Approximation of a population dynamics model by parabolic regularization

The basic linear model for describing an age structured population spreading in a limited habitat is considered with the purpose of investigating an approximation procedure based on parabolic regularization. In fact, a viscosity model is introduced by considering an appropriate approximating regularized parabolic problem and it is proved that the sequence of the approximating solutions tends to the solution to the original problem. The advantage of this approach is that it leads to the numerical solution of a parabolic problem that has more stable solutions than the hyperbolic‐parabolic original problem and avoids the restrictions (compatibility conditions) needed to treat the latter. Moreover, for the solution of the approximating problem, it is possible to take advantage of established software packages dedicated to parabolic problems. Some examples of the approach are provided using COMSOL Multiphysics. Copyright © 2012 John Wiley & Sons, Ltd.     

Spectral approximation of Wiener-Hopf operators with almost periodic generating function

The paper deals with spectral approximation of Wiener-Hopf operators acting on L^p -spaces by their

finite sections. The generating functions of the Wiener-Hopf operators are supposed to be continuous plus almost

periodic.While the usual spectra of the finite sections drastically fail to converge to the spectrum of the Wiener-Hopf

operator,it turns out that other spectral approximants, viz. the pseudospectra and the numerical ranges, do converge

perfectly.The proof requires a modified approach to the finite section method for Wiener-Hopf operators. This note

generalizes results obtained by Böttcher, Grudsky and Silbermann for the case of continuous generating

functions.     

Analysis of photonic band gaps in a two-dimensional photonic crystal with centrifugal core-shell rods

The absolute photonic band gap (PBG) in two-dimensional (2D) photonic crystal with excentric core-shell rods is studied in this paper. The core rod shifts away from the core-shell rod center, and its position is decided by two new introduced parameters — the shift angle θ and the offset ρ. We use the FDTD algorithm to calculate the photonic bands of the photonic crystal, and analyze how the offset and shift angle affect the photonic bang gap of excentric core-shell photonic crystal for different core rod size. It has been shown that the variation of the photonic band gap is quite peculiar.     

气体湍流对泡生法生长蓝宝石单晶温场的影响

本文采用专业晶体生长模拟软件CrysVUn对泡生法生长大尺寸蓝宝石单晶进行了计算机模拟.分析了气体压力对泡生法生长蓝宝石单晶的温场、气体速度场的影响.结果发现在气压P≥105Pa时,特别是在引晶初期,容易出现籽晶根部熔化,这在实验中得到了很好的验证,并提出了三种解决方案.     

金融街地下交通工程通风系统流动特性分析

采用计算流体力学的方法,对金融街地下交通工程通风系统的流场特性进行了数值分析,研究了各分系统流场的均匀特性、各通风管道内部流场细节和各分系统可靠性.结果表明:排风系统各风口的风速很不均匀,且高速风口处形成明显的气幕效应和旋涡区;在风道内形成明显的低速区.在送风系统中,各风口的风速基本均匀,风机的风压可满足要求;但在风道内也存在了明显的低速区或旋涡区.需要对该通风系统进行等风量设计,并对系统的内部气流组织进行改进设计,以提高通风系统的可靠性并降低能耗.     

缘线匹配对非定常流动影响初探

为深化缘线匹配对叶轮机非定常流动影响的认识,本文以关注尾迹撞击叶表展向轨迹为出发点,围绕缘线匹配对叶轮机非定常流动及性能影响进行了初步数值探索.研究表明:不同缘线匹配时叶片整体性能参数具有不同的脉动水平;给定缘线匹配下,整体性能参数脉动幅值随工况几乎不变或变化很缓;在设计点为达到降低某种脉动目的而实施的缘线匹配在非设计点同样有效;尽管微弱,数值模拟中还发现缘线匹配对上游尾迹随流掺混产生影响;缘线匹配严重影响时均相关项量值水平,尤其在叶尖、叶根和前缘附近.     

Collisions of Two Soatial Solitons in Inhomogeneous Nonlinear Media

Collisions of spatial solitons occurring in the nonlinear Schroeinger equation with harmonic potential are studied, using conservation laws and the split-step Fourier method. We find an analytical solution for the separation distance between the spatial solitons in an inhomogeneous nonlinear medium when the light beam is self-trapped in the transverse dimension. In the self-focusing nonlinear media the spatial solitons can be transmitted stably, and the interaction between spatial solitons is enhanced due to the linear focusing effect （and also diminished for the linear defocusing effect）. In the self-defocusing nonlinear media, in the absence of self-trapping or in the presence of linear self-defocusing, no transmission of stable spatial solitons is possible. However, in such media the linear focusing effect can be exactly compensated, and the spatial solitons can propagate through.     

Numerical Complexiton Solutions of Complex KdV Equation

In this paper, we directly extend the applications of the Adomian decomposition method to investigate the complex KdV equation. By choosing different forms of wave functions as the initial values, three new types of realistic numerical solutions： numerical positon, negaton solution, and particularly the numerical analytical complexiton solution are obtained, which can rapidly converge to the exact ones obtained by Lou et al. Numerical simulation figures are used to illustrate the efficiency and accuracy of the proposed method.