PRESSURE AND PRESSURE GRADIENT IN AN AXISYMMETRIC RIGID VESSEL WITH STENOSIS

Based on an improvement of the Karman-Pohlhausen's method, using nonlinear polynomial fitting and numerical integral, the axial distributions of pressure and its gradient in an axisymmetric rigid vessel with stenosis were obtained, and the distributions related to Reynolds number and the geometry of stenotic vessel were discussed. It shows that with the increasing of stenotic degree or Reynolds number, the fluctuation of pressure and its gradient in stenotic area is intense rapidly, and negative pressure occurs subsequently in the diverging part of stenotic area. Especially when the axial range of stenosis extends, the flow of blood in the diverging part will be more obviously changed. In higher Reynolds number or heavy stenosis, theoretical calculation is mainly in accordance with nast experiments.     

具有变态光子带隙结构的相对论Cherenkov辐射源的研究

提出了一种变态光子带隙结构,研究了由这种结构构成的周期慢波系统的Cherenkov辐射源的特性. 利用高频仿真软件以及三维粒子模拟软件对变态及常态光子带隙慢波系统中类TM₀₁模的色散特性及注-波互作用物理过程进行了模拟研究. 结果表明,在变态光子带隙慢波系统中,类TM₀₁模纵向场分量沿角向分布均匀性得到明显改善,能有效抑制非对称模式,提高输出频谱纯度及注-波互作用效率. 关键词： Cherenkov辐射源 变态光子带隙结构 慢波系统 三维粒子模拟     

Three-dimensional simulation of Ka-band relativistic Cherenkov source with metal photonic-band-gap structures

This paper presents a three-dimensional particle-in-cell (PIC) simulation of a Ka-band relativistic Cherenkov source with a slow wave structure (SWS) consisting of metal photonic band gap (PBG) structures. In the simulation, a perfect match layer boundary is employed to absorb passing band modes supported by the PBG lattice with an artificial metal boundary. The simulated axial field distributions in the cross section and surface of the SWS demonstrate that the device operates in the vicinity of the π point of a TM01-like mode. The Fourier transformation spectra of the axial fields as functions of time and space show that only a single frequency appears at 36.27 GHz, which is in good agreement with that of the intersection of the dispersion curve with the slow space charge wave generated on the beam. The simulation results demonstrate that the SWS has good mode selectivity.     

拟线性对角型双曲组径典解的破裂

In this paper we prove that for quasilinear hyperbolic systems of diagonal form,the blow-up point of classical solutions must be the starting point of an envelope of characteristics of the same kind.     

刚性轴对称狭窄血管内压强及其梯度的研究

基于对Karman-Pohlhausen方法的改进,运用非线性多项式拟合和数值积分,导出了刚性轴对称狭窄管内压强及其梯度的轴向分布,讨论了该分布与雷诺数和狭窄管几何形状之间的关系．结果表明随狭窄度和雷诺数的增加,压强及其梯度在狭窄区域的振荡会迅速加剧,并逐渐导致舒张区出现负压强．尤其在狭窄的轴向区域变宽时,舒张区的血流状态会受到较大影响．在高雷诺数和重度狭窄时,理论计算与过去的实验结果基本一致．     

非齐次线性退化富有组的柯西问题

对非齐次线性退化富有组的柯西问题,证明了在奇性的发生处解的Ｃ０模必趋于无穷。     

Breakdown of Classical Solutions for Quasilinear Hyperbolic Systems of Diagonal Form

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一类采取隔离措施的非线性传染率传染病模型的全局稳定性

讨论一类采取隔离措施的非线性传染率传染病的数学模型,得到了基本再生数Rθ的表达式,当Rθ<1时,仅存在无病平衡点,是全局渐近稳定的;当Rθ>1时,存在两个平衡点,其中无病平衡点不稳定,地方病平衡点全局渐近稳定.     

矩形阶跃波导中波束分裂的研究

使用匹配场法分析了矩形阶跃波导中场的叠加和分裂特性, 并用数值分析方法研究了场分布与传播距离的关系, 模拟了TE10波由一束分裂成两束的转化过程。从而为计算相应的硬件装置做了理论准备, 并为进一步探讨FEM 系统奠定了基础。     

一类非局部拟线性双曲组的整体经典解

本文考察一类非局部类型的一阶拟线性双典型方程组，证明了其Cauchy问题恒存在唯一的全空间整体经典解，揭示了非局部问题和局部型问题本质上的不同点．