An analysis of over-relaxation in a kinetic approximation of systems of conservation laws

The over-relaxation approach is an alternative to the Jin–Xin relaxation method in order to apply the equilibrium source term in a more precise way. This is also a key ingredient of the lattice Boltzmann method for achieving second-order accuracy. In this work, we provide an analysis of the over-relaxation kinetic scheme. We compute its equivalent equation, which is particularly useful for devising stable boundary conditions for the hidden kinetic variables.     

Liouville theorem for weighted p-Lichnerowicz equation on smooth metric measure space

In this paper, let $(M^n,g,d\mu )$ be n-dimensional noncompact metric measure space which satisfies Poincaré inequality with some Ricci curvature condition. We obtain a Liouville theorem for positive weak solutions to weighted p-Lichnerowicz equation

${△}_{p,f}v+c{v}^{\sigma }=0,$

where $c\le 0,m>n\ge 1,1<p<\frac{m?1+\sqrt{(m?1)(m+3)}}{2},\sigma \le p?1$ are real constants.     

民族高校工商管理专业实践教学体系创新研究

围绕工商管理专业培养具有较强实践能力和高素质管理人才的目标,分析当前实践教学中的误区,通过构建全社会参与的工商管理专业人才实践教学社会网络,建立贯穿大学四年学习全周期的五大实践教学培养体系,对工商管理专业学生进行基础素养实践能力和专业素养实践能力培养,探索工商管理专业人才实践能力培养模式和体系。     

A probabilistic approach to spectral analysis of growth-fragmentation equations

The growth-fragmentation equation describes a system of growing and dividing particles, and arises in models of cell division, protein polymerisation and even telecommunications protocols. Several important questions about the equation concern the asymptotic behaviour of solutions at large times: at what rate do they converge to zero or infinity, and what does the asymptotic profile of the solutions look like? Does the rescaled solution converge to its asymptotic profile at an exponential speed? These questions have traditionally been studied using analytic techniques such as entropy methods or splitting of operators. In this work, we present a probabilistic approach: we use a Feynman–Kac formula to relate the solution of the growth-fragmentation equation to the semigroup of a Markov process, and characterise the rate of decay or growth in terms of this process. We then identify the Malthus exponent and the asymptotic profile in terms of a related Markov process, and give a spectral interpretation in terms of the growth-fragmentation operator and its dual.     

基于LQG控制的整车8-DOF系统振动分析

建立了整车8-DOF系统动力学模型,考虑了主动悬架控制,并增设了主动座椅控制,设计了车辆主动悬架系统的LQG控制器。基于Matlab仿真平台建立了整车8-DOF系统动力学仿真模型,对所得最优控制策略下的动态响应进行了仿真验证。仿真结果表明:为了改善人椅系统质心及车身质心的跳振性能需要在一定程度上弱化各轮轮胎动位移性能。从控制效能上来看,该最优控制器能够满足各行驶状态下对悬架性能的要求,改善了车辆的行驶平顺性。     

政府采购政策带动国内企业自主创新的积极性——兼述《关于实施〈国家中长期科学和技术发展规划纲要(2006—2020年)〉的若干配套政策》实施进展

政府采购是促进我国自主创新的一项重要政策o《国家中长期科学与技术发展规划纲要(2006—2020年)》(以下简称《纲要》)提出,要"实施促进自主创新的政府采购"。有关部委出台了多项实施细财和配套文件,形成了较完整的自主创新产品政府采购政策体系。地方政府也积极开展政府采购实践,较好地带动了国内企业自主创新的积极性。本文就《纲要》颁布以来,我国政府采购政策体系建设取得的进展与成效,以及领域专家提出的有关建议进行了综合报道。     

财政性科技经费监管体系探析

我国初步建立了财政性科技经费监管体系,但是在监督主体、监督制度等方面还存在缺陷,科技经费监督出现诸多问题。建立要加强宏观层面的统筹规划,建立由政府、承担单位和外部主体上下联动、横向联合的立体监督体系。