The Cauchy problem of generalized Landau-Lifshitz equation into S n

In this paper,we study the Cauchy problem of an integrable evolution system,i.e.,the n-dimensional generalization of third-order symmetry of the well-known Landau-Lifshitz equation.By rewriting this equation in a geometric form and applying the geometric energy method with a forth-order perturbation,we show the global well-posedness of the Cauchy problem in suitable Sobolev spaces.     

Positive energy theorem for (4+1)-dimensional asymptotically anti-de Sitter spacetimes

We define the total energy-momenta for(4+1)-dimensional asymptotically anti-de Sitter spacetimes,which comes from the boundary terms at infinity in the integral form of the Weitzenbck formula.Then we prove the positive energy theorem for such spacetimes,following Witten’s original argumentsfor the positive energy theorem in asymptotically flat spacetimes.     

ENERGY DECAY ESTIMATES FOR AN EULER-BERNOULLI BEAM WITH A TIP MASS

In this paper,we study the energy decay estimates for an Euler-Bernoulli beam with a tip mass,which is clamped at one end and attached a tip mass to the free end.     

GLOBAL CLASSICAL SOLUTIONS FOR QUANTUM KINETIC FOKKER-PLANCK EQUATIONS

We consider a class of nonlinear kinetic Fokker-Planck equations modeling quantum particles which obey the Bose-Einstein and Fermi-Dirac statistics, respectively. We establish the existence and convergence rate to the steady state of global classical solution to such kind of equations around the steady state.     

EXISTENCE OF INFINITE ENERGY SOLUTION TO THE INELASTIC BOLTZMANN EQUATION WITH EXTERNAL FORCE

In this paper,the Cauchy problem for the inelastic Boltzmann equation with external force is considered in the case of initial data with infinite energy.More precisely,under the assumptions on the bicharacteristic generated by external force,we prove the global existence of solution for small initial data compared to the local Maxwellian exp{ p|x v|2},which has infinite mass and energy.     

STABILITY AND SUPER CONVERGENCE ANALYSIS OF ADI-FDTD FOR THE 2D MAXWELL EQUATIONS IN A LOSSY MEDIUM

Several new energy identities of the two dimensional(2D) Maxwell equations in a lossy medium in the case of the perfectly electric conducting boundary conditions are proposed and proved.These identities show a new kind of energy conservation in the Maxwell system and provide a new energy method to analyze the alternating direction implicit finite difference time domain method for the 2D Maxwell equations(2D-ADI-FDTD).It is proved that 2D-ADI-FDTD is approximately energy conserved,unconditionally stable and second order convergent in the discrete L2 and H1 norms,which implies that 2D-ADI-FDTD is super convergent.By this super convergence,it is simply proved that the error of the divergence of the solution of 2D-ADI-FDTD is second order accurate.It is also proved that the difference scheme of 2D-ADI-FDTD with respect to time t is second order convergent in the discrete H1 norm.Experimental results to confirm the theoretical analysis on stability,convergence and energy conservation are presented.     

GLOBAL CLASSICAL SOLUTIONS TO THE 3-D ISENTROPIC COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH GENERAL INITIAL ENERGY

We establish the global existence and uniqueness of classical solutions to the Cauchy problem for the 3-D compressible Navier-Stokes equations under the assumption that the initial density ρ0 L∞ is appropriate small and 1 < γ < 65.Here the initial density could have vacuum and we do not require that the initial energy is small.     

TIME PERIODIC SOLUTION TO THE COMPRESSIBLE NAVIER-STOKES EQUATIONS IN A PERIODIC DOMAIN

This article is concerned with the time periodic solution to the isentropic compressible Navier-Stokes equations in a periodic domain. Using an approach of parabolic regularization, we first obtain the existence of the time periodic solution to a regularized problem under some smallness and symmetry assumptions on the external force. The result for the original compressible Navier-Stokes equations is then obtained by a limiting process.The uniqueness of the periodic solution is also given.     

Partial energies monotonicity and holomorphicity of Hermitian pluriharmonic maps

In this paper,we introduce the notion of Hermitian pluriharmonic maps from Hermitian manifold into K¨ahler manifold.Assuming the domain manifolds possess some special exhaustion functions and the vecotor field V=JMδJM satisfies some decay conditions,we use stress-energy tensors to establish some monotonicity formulas of partial energies of Hermitian pluriharmonic maps.These monotonicity inequalities enable us to derive some holomorphicity for these Hermitian pluriharmonic maps.     

GENERAL DECAY FOR A QUASILINEAR SYSTEM OF VISCOELASTIC EQUATIONS WITH NONLINEAR DAMPING

In this paper, we consider a system of coupled quasilinear viscoelastic equations with nonlinear damping. We use the perturbed energy method to show the general decay rate estimates of energy of solutions, which extends some existing results concerning a general decay for a single equation to the case of system, and a nonlinear system of viscoelastic wave equations to a quasilinear system.     

On p-Willmore disks with boundary energies

We consider an energy functional on surface immersions which includes contributions from both boundary and interior. Inspired by physical examples, the boundary is modeled as the center line of a generalized Kirchhoff elastic rod, while the interior term is arbitrarily dependent on the mean curvature and linearly dependent on the Gaussian curvature. We study equilibrium configurations for this energy in general among topological disks, as well as specifically for the class of examples known as p-Willmore energies.     

关于湖北省节能的投入产出分析

运用投入产出法,对湖北省达成"十一五"节能目标的万元GDP综合能耗进行了分能源品种的分解,对湖北省未来五年的能源经济指标进行了预测和分析.首先,本文把64部门的2002年湖北省投入产出表整理成6部门的投入产出表,推测出2005年湖北省能源生产和消费指标,分析了湖北省能源供需的基本形势.其次,本文以实现"十一五"期间万元GDP综合能耗降低20%为目标,对不同GDP增长率下的能源需求情景进行了预测,计算了湖北省2010年分品种的万元GDP综合能耗、能源消费弹性系数等指标,分析了不同能源品种对单位GDP综合能耗下降的贡献程度.最后本文提出了政策建议,并指出模型的发展方向.     

人民币国际化与能源价格互动关系研究

目前人民币国际化已被广泛关注,国际大宗商品贸易、特别是能源贸易中计价货币绑定成为货币走向世界的新道路,因此研究人民币国际化与能源价格的关系对于进一步推动人民币国际化有着重要意义.本文选用渣打银行人民币环球指数来度量人民币国际化进程,利用协整、格兰杰因果和脉冲响应三种方法对人民币国际化与国内外石油及煤炭价格的互动关系进行了研究.实证结果表明:人民币国际化与能源价格之间存在长期均衡关系,且短期内能源价格变动对于人民币国际化变动都有着正向的影响.并且,石油价格以及国内煤炭价格是人民币国际化的格兰杰原因,而人民币国际化指数仅仅是国际煤炭价格的格兰杰原因;最后,通过脉冲响应分析,发现能源价格变动对人民币国际化进程有积极推动作用.     

Matching energy of unicyclic and bicyclic graphs with a given diameter

Gutman and Wagner proposed the concept of matching energy (ME) and pointed out that the chemical applications of ME go back to the 1970s. Let G be a simple graph of order n and be the roots of its matching polynomial. The ME of G is defined to be the sum of the absolute values of . In this article, we characterize the graphs with minimal ME among all unicyclic and bicyclic graphs with a given diameter d. © 2014 Wiley Periodicals, Inc. Complexity 21: 224–238, 2015     

On the competition of elastic energy and surface energy in discrete numerical schemes

The Γ-limit of certain discrete free energy functionals related to the numerical approximation of Ginzburg–Landau models is analysed when the distance h between neighbouring points tends to zero. The main focus lies on cases where there is competition between surface energy and elastic energy. Two discrete approximation schemes are compared, one of them shows a surface energy in the Γ-limit. Finally, numerical solutions for the sharp interface Cahn–Hilliard model with linear elasticity are investigated. It is demonstrated how the viscosity of the numerical scheme introduces an artificial surface energy that leads to unphysical solutions.      

东西部能源经济系统可持续发展博弈分析

引入经济可持续发展能源可承受度概念,建立中央和东西部地区兼顾经济增长及能源可持续发展的博弈模型,分析西部大开发战略中中央、东部和西部能源开发的战略选择,得到能源作为稀缺资源在地区及全国范围内最优配置的相关结论.     

扩展的非竞争型能源投入占用产出模型

目前国内外在能源研究中普遍应用的投入产出模型都是竞争型投入产出模型.其主要缺点是在各种产品的使用上没有区分本国产品和进口产品等,在进出口贸易数额较大时由此计算的完全能耗、单位最终需求的完全增加值等将严重失真.为此,提出一种新的扩展的非竞争型能源投入占用产出模型.首先介绍新模型的结构和主要平衡关系式,其次介绍新模型的主要计算方法和若干重要应用,最后一部分是小结.     

粒子超非线性的总能和de Broglie波的理论

用Lourent级数对高速运动粒子的速度(～c)展开并取得总能量表达式.总能包含静能和动能二项.由能量-动量的关系得到了de-Broglie波的理论,其中相速度仍是小于光速c的结论.