Stability of peakons for the Degasperis‐Procesi equation

The Degasperis‐Procesi equation can be derived as a member of a one‐parameter family of asymptotic shallow‐water approximations to the Euler equations with the same asymptotic accuracy as that of the Camassa‐Holm equation. In this paper, we study the orbital stability problem of the peaked solitons to the Degasperis‐Procesi equation on the line. By constructing a Lyapunov function, we prove that the shapes of these peakon solitons are stable under small perturbations. © 2007 Wiley Periodicals, Inc.     

圆柱空腔上裂纹的爬波检测方法

通过牛顿迭代法求解了固体内部圆柱空腔上爬波的频散方程,分析了爬波的频散和衰减特性。利用动态光弹法显示了爬波的直观图像和圆柱空腔附近各散射波的空间关系。根据爬波具有的频散、衰减以及辐射横波特征,设计了斜入射脉冲回波实验装置,测量了特定位置处裂纹反射爬波辐射出的横波信号,其与柱面反射波的时差和理论预测一致。进一步实验研究发现,爬波回波幅度与特定位置的裂纹长度具有近似单调的对应关系,在裂纹长度较大时,回波幅度趋于稳定。以上工作为圆柱空腔上裂纹的爬波定量检测提供了物理基础和实现方法。      

2017年国际超声大会在美国夏威夷顺利召开

2017年国际超声大会在美国夏威夷顺利召开     

Unstable and Stable Galaxy Models

To determine the stability and instability of a given steady galaxy configuration is one of the fundamental problems in the Vlasov theory for galaxy dynamics. In this article, we study the stability of isotropic spherical symmetric galaxy models f ₀(E), for which the distribution function f ₀ depends on the particle energy E only. In the first part of the article, we derive the first sufficient criterion for linear instability of f ₀(E) : f ₀(E) is linearly unstable if the second-order operator

Microwave awakening the n-π* electronic transition in highly crystalline polymeric carbon nitride nanosheets for photocatalytic hydrogen generation

The n-π^* electronic transition in polymeric carbon nitride(PCN)can remarkably harvest visible light,which thus potentially promotes the photocatalytic hydrogen H2 generation.However,awaking the n-π^* lectronic transition has proven to be a grand challenge.Herein,we reported on the awakening of n-π^* electronic transition by microwave thermolysis of urea pellet,which yielded the PCN with absorption edge of 600 nm,near 140 nm red-shift from 460 nm of pristine PCN.The n-π^* electronic transition endows PCN with an increased photocata lytic H₂ generation,with a highest H₂ rate of 61.7μmol h^-1 under visible light exposure,which is near 6 times higher than that by using the PCN from the thermolysis of urea pellets in an electric furnace(10.6μmol h^-1).Furthermore,the n-π^* transition in PCN leads to the longest wavelength of 535 nm that can initiate H2 generation,remarkably longer than the absorption edge of pristine PCN(460 nm).This work manifests the advantages of microwave sintering route to awaken the n-π^* electronic transition in PCN for an increased photocata lytic performance.     

碳元素同素异形体的稳定性

碳元素有多种同素异形体,其稳定性可根据能量判据进行判断。一般认为,石墨是标准状况下碳元素最稳定的同素异形体,其标准摩尔生成焓被定为参考值0k J/mol。近来亦有研究说明金刚石在0K下更稳定。一些文献认为富勒烯比石墨更稳定的说法是错误的,应予纠正。     

GaAs／GaAlAs定向耦合器型行波调制器：1.设计

从理论上重点分析和研究了器件行波电极的微波特性，在半绝缘ＧａＡｓ衬底上设计了具有ｎ＾＋重掺杂外延层和共平面电极的ＧａＡｓ／ＧａＡｌＡｓ定向耦合器型行波调制器，针对实验中发现的行波电极上微波的高传输损耗问题。分析了起因并提出了器件的改进设计方案，从而设计出可达到３５ＧＨｚ带宽的高速调制效应的光波导调制器。     

1.3μmDFB半导体激光超短脉冲的产生及其压缩

本文首次报道１．３μｍ单模超短脉冲产生及压缩实验。通过梳状波电脉冲直接调制ＤＣＰＢＨ－ＤＦＢ半导体激光器，获得２２ｐｓ单模光滑脉冲；然后利用Ｇ－Ｔ干涉仪压缩得到近变换极限超短脉冲。脉宽为９．３ｐｓ，峰值功率超过２００ｍＷ，重复频率１ＧＨｚ，时间带宽乘积为０．３９，脉冲压缩比为２．４。最后对实验结果进行了讨论。     

GaAs/GaAlAs定向耦合器型行波调制器Ⅱ.实验

在理论分析设计的基础上，进行了ＧａＡｓ／ＧａＡｌＡｓ定向耦合器型行波调制器实验。建立了器件行波电极微波特性的测试系统，由此系统进行实验确定器件最佳结构参数，完成器件的制作。器件采用共平面行波电极，击穿电压２８Ｖ。用１．０６μｍＹＡＧ激光器进行测试，开关电压８．５Ｖ。由微波网络分析仪测试器件行波电极的微波特性，测得电极中微波与波导中光波间的速率失配小于３％，且在３０ＧＨｚ下，微波传输损耗小于３０ｄＢ，表明器件的３ｄＢ调制带宽超过３２ＧＨｚ     

Some Stability and Instability Criteria for Ideal Plane Flows

We investigate stability and instability of steady ideal plane flows for an arbitrary bounded domain. First, we obtain some general criteria for linear and nonlinear stability. Second, we find a sufficient condition for the existence of a growing mode to the linearized equation. Third, we construct a steady flow which is nonlinearly and linearly stable in the L² norm of vorticity but linearly unstable in the L² norm of velocity.