Compton散射下等离子体球太赫兹散射特性

为了研究Compton散射对等离子体球太赫兹(THz)散射特性的影响,将多光子非线性Compton散射模型引入到该研究中,提出了将Compton散射作为影响等离子体球太赫兹散射的重要因素,给出了各向异性等离子体球散射场修正方程及介电常数张量、观测方位、极化状态等因素对THz波散射的影响,并进行了仿真实验。结果表明:微分散射截面随THz波频率变化近乎呈准谐振规律变化,较散射前增大了0.001;微分散射截面随观测方位和极化状态的变化较散射前增大了0.002。     

基于混合效应模型的医保费用测算及监控

近几年医改的一个核心内容就是医保支付方式的改革。2012年12月,人力资源和社会保障部、财政部、卫生部三部门联合出台了《关于开展基本医疗保险付费总额控制的意见》,提出在未来两年里,在所有医疗保险统筹地区实行总额预付工作。实行总额预付制的关键是如何科学合理的测算每家医院的预算总额。本文利用线性混合效应模型分别对某市684家医院的病人数,平均费用进行建模,给出每一家医院来年医保费用的合理参考,并且利用模型中的随机效应项自动识别医保费用和病人数异常的医院,为医保监管机构的监管提供科学依据。     

随机发展方程适度解的存在唯一性(Ⅱ)

讨论如下Hilbert空间中的半线性随机发展方程的Cauchy问题 dy(t)=[Ay(t) f(t,y(t))]dt G(t,y(t))dw(t) y(O)=V_u的适度解的存在唯一性,在更一般的条件下,得到了该问题的适度解的存在唯一性。     

随机收缩偶,随机收缩与随机算子方程的解

本文引入随机收缩偶,讨论具有随机定义域的随机集值(单值)算子方程公共随机解的存在性,建立随机收缩理论与公共随机不动点理论的联系,统一和推广了这两个方向的主要结果。 关健词:随机算子;方程;公共不动点。     

Second-order random wave solutions for interfacial internal waves in N-layer density-stratified fluid

This paper studies the random internal wave equations describing the density interface displacements and the velocity potentials of N-layer stratified fluid contained between two rigid walls at the top and bottom. The density interface displacements and the velocity potentials were solved to the second-order by an expansion approach used by Longuet-Higgins （1963） and Dean （1979） in the study of random surface waves and by Song （2004） in the study of second- order random wave solutions for internal waves in a two-layer fluid. The obtained results indicate that the first-order solutions are a linear superposition of many wave components with different amplitudes, wave numbers and frequencies, and that the amplitudes of first-order wave components with the same wave numbers and frequencies between the adjacent density interfaces are modulated by each other. They also show that the second-order solutions consist of two parts： the first one is the first-order solutions, and the second one is the solutions of the second-order asymptotic equations, which describe the second-order nonlinear modification and the second-order wave-wave interactions not only among the wave components on same density interfaces but also among the wave components between the adjacent density interfaces. Both the first-order and second-order solutions depend on the density and depth of each layer. It is also deduced that the results of the present work include those derived by Song （2004） for second-order random wave solutions for internal waves in a two-layer fluid as a particular case.     

355nm Nd∶YAG激光在H_2中的高效一级斯托克斯转换

对脉冲Nd∶YAG激光(355 nm)在H2和H2∶He-Ar混合气体中的受激拉曼散射(SRS)进行了研究。在0.5 MPa的氢气中,同时测量到从二级反斯托克斯到三级斯托克斯的多波长输出,其总转化效率达88%;而高压下只剩下一级和二级斯托克斯输出,其中二级斯托克斯最大能量转化效率达44%(对应量子效率为63%)。由于高级斯托克斯的竞争,纯氢气中一级斯托克斯的最大能量转换效率不超过43%。通过向3 MPa氢气中掺入2 MPaAr气后,很好地抑制了二级斯托克斯的产生,从而获得了能量转换效率高达71%(对应量子效率为83%)的一级斯托克斯输出。对四波混频和级联受激拉曼散射在氢气多级斯托克斯产生中的作用以及惰性气体对它们的影响进行了讨论。     

New Explicit Solitary Wave Solutions and Periodic Wave Solutions for the Generalized Coupled Hirota－Satsuma KdV system

In this paper,we study the generalized coupled Hirota-Satsuma KdV system by using the new generalized transformation in homogeneous balance method.As a result,many explicit exact solutions,which contain new solitary wave solutions,periodic wave solutions,and the combined formal solitary wave solutions,and periodic wave solutions ,are obtained.     

变系数非线性方程的Jacobi椭圆函数展开解

把Jacobi椭圆函数展开法扩展并应用到求解变系数的非线性演化方程,比较方便地得到新的解析解 关键词： Jacobi椭圆函数 变系数非线性方程 类椭圆余弦波解 类孤子解     

具有随机生存域的随机场

本文研究具有随机开参数集的随机场构造,获得了具有已知有穷维分布的随机场存在和唯一性条件。