扩展HK网络结构与同步能力的研究

研究两种高聚类系数无标度网络演化机理对网络同步能力的影响．首先,以Holme和Kim（HK）模型为基础,提出了度分布和聚类系数均可调的扩展HK模型（EHK模型）．扩展HK模型将HK模型中的三角结构扩展到了旧节点之间,解决了HK模型边的演化只存在新旧节点之间以及每个时间步加入网络节点的边数固定的不足．其次,研究了三角结构演化机理对网络同步能力的影响．最后,仿真研究发现三角结构的演化机理降低了两类无权网络的同步能力．     

相关参数对长距离近似无衍射光束质量的影响

利用光线追迹法分析了会聚透镜焦距及会聚透镜与轴棱锥的距离等相关参数对双轴棱锥产生的长距离近似无衍射光束传播距离的影响,运用Mathcad对其进行了数值模拟。结果显示:在其他条件不变的情况下,近似无衍射光束的传播距离随会聚透镜焦距的增大而减小,随会聚透镜与轴棱锥之间距离的增大而增大。通过实验对理论进行了验证,所得结果与理论分析相吻合。     

氢化石墨烯作为不含金属的催化剂用于催化类Fenton反应

采用室温辐照还原与氢化的方法制备氢化石墨烯. 透射电子显微镜、元素分析、X射线光电子能谱和紫外可见光谱等测试证实了获得的产物为氢化石墨烯. 以该氢化石墨烯为不含金属的催化剂进行了类Fenton反应,发现其有高的催化活性,可以用于水中有机物的氧化降解.     

一种基于局部反馈校正的高精度联邦滤波器

提出了一种基于局部反馈校正的无重置联邦滤波器的设计方法,该联邦滤波器在保证组合导航系统的容错性能不变的同时可以提高系统的导航精度。该方法用于船用组合导航系统设计中,通过计算机仿真,并同Carlson提出的无重置联邦滤波器的仿真结果相比较,表明该方法精度高、容错性好,该方法现已成功应用于船用组合导航系统设计中。     

Multiplicity of solutions for a class of Kirchhoff type problems

In this paper we apply the （variant） fountain theorems to study the symmetric nonlinear Kirch- hoff nonlocal problems. Under the Ambrosetti-Rabinowitz＇s 4-superlinearity condition, or no Ambrosetti- Rabinowitz＇s 4-superlinearity condition, we present two results of existence of infinitely many large energy solutions, respectively.     

Multiplicity of positive solutions to period boundary value problems for second order impulsive differential equations

This paper deals with the existence and multiplicity of positive solutions to second order period boundary value problems with impulse effects. The proof of our main results relies on a well-known fixed point theorem in cones. The paper extends some previous results and reports some new results about impulsive differential equations.     

Energy Decay for the Cauchy Problem of the Linear Wave Equation of Variable Coefficients with Dissipation

Decay of the energy for the Cauchy problem of the wave equation of variable coefficients with a dissipation is considered. It is shown that whether a dissipation can be localized near infinity depends on the curvature properties of a Riemannian metric given by the variable coefficients. In particular, some criteria on curvature of the Riemannian manifold for a dissipation to be localized are given.     

AN EMBEDDED BOUNDARY METHOD FOR ELLIPTIC AND PARABOLIC PROBLEMS WITH INTERFACES AND APPLICATION TO MULTI-MATERIAL SYSTEMS WITH PHASE TRANSITIONS

The embedded boundary method for solving elliptic and parabolic problems in geometrically complex domains using Cartesian meshes by Johansen and Colella （1998, J. Comput. Phys. 147, 60） has been extended for elliptic and parabolic problems with interior boundaries or interfaces of discontinuities of material properties or solutions. Second order accuracy is achieved in space and time for both stationary and moving interface problems. The method is conservative for elliptic and parabolic problems with fixed interfaces. Based on this method, a front tracking algorithm for the Stefan problem has been developed. The accuracy of the method is measured through comparison with exact solution to a two-dimensional Stefan problem. The algorithm has been used for the study of melting and solidification problems.     

Inverse Coefficient Problems for Elliptic Hemivariational Inequalities

This paper is devoted to a class of inverse coefficient problems for nonlinear elliptic hemivariational inequalities. The unknown coefficient of elliptic hemivariational inequalities depends on the gradient of the solution and belongs to a set of admissible coefficients. It is shown that the nonlinear elliptic hemivariational inequalities are uniquely solvable for the given class of coefficients. The result of existence of quasisolutions of the inverse problems is obtained.     

SOLUTIONS FOR THE QUASILINEAR ELLIPTIC PROBLEMS INVOLVING CRITICAL HARDY-SOBOLEV EXPONENTS

In this article, we study the quasilinear elliptic problem involving critical Hardy Sobolev exponents and Hardy terms. By variational methods and analytic techniques, we obtain the existence of sign-changing solutions to the problem.