带有临界增长的Kirchhoff方程极小能量变号解的存在性

为了深入研究Kirchhoff方程的性质,讨论了带有Hartree项和临界增长非线性项的Kirchhoff方程极小能量变号解的存在性。利用能量泛函在变号Nehari流形上的下确界C_λ收敛于0,得到空间E紧嵌入L~6(R~3)这一技术性结果。结果表明,利用限制变分方法和定量形变引理获得极小化序列对应的极小值点是该问题的非平凡解。研究方法在理论证明方面得到了良好的结果,对研究其他Kirchhoff方程解的存在性有一定的指导意义。     

图的直积和字典积的Laplacian谱和Kirchhoff指数

由图G1、G2的Laplacian谱得到了它们的直积G1×G2和字典积G1[G2]的Laplacian谱,并计算了R(G1×G2)和R(G1[G2]).     

具有不定位势Kirchhoff型Schrödinger-Bopp-Podolsky系统解的存在性

研究Kirchhoff型Schrödinger-Bopp-Podolsky系统,考虑位势函数V不定的情况。此时Schrödinger算子-Δ+V具有有限维负空间。利用Morse理论,得到Kirchhoff型Schrödinger-Bopp-Podolsky系统非平凡解的存在性。     

离散剪切约束的4节点矩形弯曲单元

提出一种基于Ｍｉｎｄｌｉｎ理论的４节点矩形薄板单元，该单元满足应变能正交准则下的收敛性充要条件，具有插值方式简单和相当二次数值精度等优点。在避免单元剪切自锁中，引入较严格沿单元边界法向剪切应变约束处理技术，使单元具有真实Ｋｉｒｃｈｈｏｆｆ单元的变形特点。     

The EM scattering from one-dimensionally lossy fractal surfaces

The EM scattering from rough surface has been investigated in the past years. Periodic and random models are often used in modeling the rough surface. Recently, the fractal geometry is rapidly improved. It provides a new way to model the rough surface whose characteristics are long-range order and short-range disorder. In this paper, A fractal function is used to model the rough surface. A scattering coefficient for calculating the angular distribution and the amount of energy in the spectrally scattering field to the fractal characteristics of the surfaces by finding their analytical expressions is derived by using the Kirchhoff solution. In the end, we calculate some scattering patterns. Supported by the National Natural Science Foundation of China Gao Huotao: born in 1964, Graduate student     

负反馈对放大器频率响应的影响再分析

应用电路分析的方法,导出了单级负反馈放大器上、下限截止频率FHf、fLf的新关系式,说明了方块图法不能体现电路的基尔霍夫定律作用。新关系式能全面直观描述FHf、fLf和电路中所有元件参数之间的关系,更便于理论分析和工程设计,及计算机辅助分析。     

具一般非线性项抛物型Kirchhoff方程解的有限时间爆破

考虑一类具一般非线性项的抛物型Kirchhoff方程解的有限时间爆破问题, 借助一阶微分不等式和凸方法, 给出解在有限时刻爆破的一些充分条件, 并得到了爆破时间的上界估计.     

A study on radar cross section of the two-dimensionally fractal rough surface

The analysis of the RCS from the rough sea and ground surface is made. The two-dimensionally band-limited fractal function is used to model the sea and ground surface, the scattered electromagnetic field is calculated by using Kirchhoff approximation. The validity of this result is assured by some references, which indicates that the methods are reliable. Foundation item: Supported by the National Natural Science Foundation of China(69571021) Biography: GAO Ming-qin (1974-), Master Candidate. Research field: EM scattering.     

从惠更斯原理到索末菲衍射公式

自1678年惠更斯提出惠更斯原理,菲涅耳、基尔霍夫、索末菲等都对这一原理作出了改进和完善,体现了科学研究中从定性、半定量再到定量的逐步精确化的发展历程。为了准确理解惠更斯一菲涅耳原理,也为了认识和掌握科学发展的客观规律,有必要对惠更斯原理的发展历程作比较深入的认识,文章对此作了尝试。     

粗糙面后向散射的基尔霍夫标量近似法研究

实际的粗糙面由高斯型粗糙来模拟,结合高斯型粗糙面的相关系数,依据基尔霍夫标量近似法给出了高斯型粗糙面后向散射系数表达式,通过数值计算得到了后向散射系数随入射角及入射波波长的变化曲线,分析了粗糙面高度起伏均方根、相关长度、介质介电常数、入射波波长对后向散射系数的影响,得到了较完整的高斯粗糙面后向散射特征.