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2008年, 第28卷, 第3期　刊出日期：2008-07-20 上一期    下一期

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BOUNDARY LAYER ASYMPTOTIC BEHAVIOR OF INCOMPRESSIBLE NAVIER-STOKES EQUATION IN A CYLINDER WITH SMALL VISCOSITY 段志文; 韩淑霞; 周笠 数学物理学报(英文版). 2008 (3):  449-468.  DOI: 10.1016/S0252-9602(08)60047-8 摘要 ( 1393 )   RICH HTML PDF(236KB) ( 1657 )   收藏 The object of this article is to study the boundary layer appearing at large Reynolds number (small viscosity ε) incompressible Navier-Stokes Equation in a cylinder in space dimension three. These are Navier-Stokes equations linearized around a fixed velocity flow: the authors study the convergence as ε→ 0 to the inviscid type equations, the authors define the correctors needed to resolve the boundary layer and obtain convergence results valid up to the boundary and the authors also study the behavior of the boundary layer when, simultaneously, time and the Reynolds number tend to infinity, in which case the boundary layer tends to pervade the whole domain. 相关文章 | 计量指标

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HARDY-SOBOLEV INEQUALITIES WITH GENERAL WEIGHTS AND REMAINDER TERMS 陈志辉; 沈尧天 数学物理学报(英文版). 2008 (3):  469-478.  DOI: 10.1016/S0252-9602(08)60048-X 摘要 ( 1209 )   RICH HTML PDF(179KB) ( 1562 )   收藏 The Hardy-Sobolev inequality with general weights is established, and it is shown that the constant is optimal. The two weights in this inequality are determined by a Bernoulli equation. In addition, the authors obtain the Hardy-Sobolev inequality with general weights and remainder terms. By choosing special weights, it turns to be many versions of the Hardy-Sobolev inequality and the Caffarelli-Kohn-Nirenberg inequality with remainder terms in the literature. 相关文章 | 计量指标

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STEADY-STATE SOLUTIONS FOR A ONE-DIMENSIONAL NONISENTROPIC #br# HYDRODYNAMIC MODEL WITH NON-CONSTANT LATTICE TEMPERATURE 黎野平 数学物理学报(英文版). 2008 (3):  479-488.  DOI: 10.1016/S0252-9602(08)60049-1 摘要 ( 1114 )   RICH HTML PDF(156KB) ( 1256 )   收藏 A one-dimensional stationary nonisentropic hydrodynamic model for semiconductor devices with non-constant lattice temperature is studied. This model consists of the equations for the electron density, the electron current density and electron temperature, coupled with the Poisson equation of the electrostatic potential in a bounded interval supplemented with proper boundary conditions. The existence and uniqueness of a strong subsonic steady-state solution with positive particle density and positive temperature is established. The proof is based on the fixed-point arguments, the Stampacchia truncation methods, and the basic energy estimates. 相关文章 | 计量指标

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ON MEAN CURVATURES OF A PARALLEL CONVEX BODY 周家足; 姜德烁 数学物理学报(英文版). 2008 (3):  489-494.  DOI: 10.1016/S0252-9602(08)60050-8 摘要 ( 1231 )   RICH HTML PDF(134KB) ( 1865 )   收藏 n this article, we obtain some results about the mean curvature integrals of the parallel body of a convex set in Rn. These mean curvature integrals are generalizations of the Santalo's results. 相关文章 | 计量指标

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THE SOLVABILITY FOR A CLASS OF SINGULARLY PERTURBED QUASI-LINEAR DIFFERENTIAL SYSTEM 莫嘉琪; 王辉; 林万涛 数学物理学报(英文版). 2008 (3):  495-500.  DOI: 10.1016/S0252-9602(08)60051-X 摘要 ( 1212 )   RICH HTML PDF(132KB) ( 1351 )   收藏 The solvability for a class of singularly perturbed Robin problem of quasi-linear differential system is considered. Using the boundary layer corrective method the formal asymptotic solution is constructed. And using the theory of differential inequality the uniform validity of the asymptotic expansions for solution is proved. 相关文章 | 计量指标

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A LAW OF ITERATED LOGARITHM FOR THE MLE IN A RANDOM CENSORING MODEL WITH INCOMPLETE INFORMATION 宋凤丽; 刘禄勤 数学物理学报(英文版). 2008 (3):  501-512.  DOI: 10.1016/S0252-9602(08)60052-1 摘要 ( 1005 )   RICH HTML PDF(186KB) ( 1225 )   收藏 In this article, a law of iterated logarithm for the maximum likelihood estimator in a random censoring model with incomplete information under certain regular conditions is obtained. 相关文章 | 计量指标

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QUASI-STATIONARY DISTRIBUTIONS FOR THE RADIAL ORNSTEIN-UHLENBECK PROCESSES 叶俊 数学物理学报(英文版). 2008 (3):  513-522.  DOI: 10.1016/S0252-9602(08)60053-3 摘要 ( 1055 )   RICH HTML PDF(171KB) ( 1819 )   收藏 The purpose of this article is to obtain the quasi-stationary distributions of the δ(δ<2)-dimensional radial Ornstein-Uhlenbeck process with parameter -λ by using the methods of Martinez and San Martin (2001). It is described that the law of this process conditioned on first hitting 0 is just the probability measure induced by a (4-δ)-dimensional radial Ornstein-Uhlenbeck process with parameter -λ. Moreover, it is shown that the law of the conditioned process associated with the left eigenfunction of the process conditioned on first hitting 0 is induced by a one-parameter diffusion. 相关文章 | 计量指标

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QUENCHING PROBLEM IN SOME SEMILINEAR WAVE EQUATIONS 李明融; 白仁德 数学物理学报(英文版). 2008 (3):  523-529.  DOI: 10.1016/S0252-9602(08)60054-5 摘要 ( 1177 )   RICH HTML PDF(147KB) ( 1432 )   收藏 This article proves a quenching result of the solutions for some semi-linear wave equations. 相关文章 | 计量指标

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CONTINUITY AND HAUSDORFF DIMENSION OF JULIA SET CONCERNING YANG-LEE ZEROS 高军扬; 乔建永 数学物理学报(英文版). 2008 (3):  530-536.  DOI: 10.1016/S0252-9602(08)60055-7 摘要 ( 1202 )   RICH HTML PDF(142KB) ( 1229 )   收藏 Considering the Julia set J(Tλ) of the Yang-Lee zeros of the Potts model on the diamond hierarchical Lattice on the complex plane, the authors proved that HDJ(Tλ)>1 and discussed the continuity of J(Tλ) in Hausdorff topology for λ∈ R. 相关文章 | 计量指标

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CALCULATION OF HAMILTONIAN CONSTRAINT AND MANDELSTAM IDENTITIES OVER EXTENDED KNOT FAMILIES 邵丹; 邵亮; 邵常贵 数学物理学报(英文版). 2008 (3):  535-544.  DOI: 10.1016/S0252-9602(08)60056-9 摘要 ( 1015 )   RICH HTML PDF(166KB) ( 1076 )   收藏 The actions of the Hamiltonian constraint onto the members of the extended knot families {ψi}22 , {ψi}34 and {ψi}46 , and the check of their invariance under the Mandelstam identities are given in the extended loop representation of loop quantum gravity. 相关文章 | 计量指标

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REPELLERS FOR MULTIFUNCTIONS OF SEMI-BORNOLOGICAL SPACES M.R. Molaei; T. Waezizadeh 数学物理学报(英文版). 2008 (3):  545-550.  DOI: 10.1016/S0252-9602(08)60057-0 摘要 ( 1001 )   RICH HTML PDF(137KB) ( 1459 )   收藏 In this article the notion of repeller for multifunctions from the viewpoints of semi-bornological spaces is considered. The concept of lower semi-continuous multifunctions is extended by the use of semi-bornological spaces. Semi-bornological vector spaces are studied. The notion of conjugacy for semi-bornological multifunctions is considered. The persistence of repeller under conjugate relation is proved. 相关文章 | 计量指标

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AN INFEASIBLE-INTERIOR-POINT PREDICTOR-CORRECTOR ALGORITHM FOR THE SECOND-ORDER CONE PROGRAM 迟晓妮; 刘三阳 数学物理学报(英文版). 2008 (3):  551-559.  DOI: 10.1016/S0252-9602(08)60058-2 摘要 ( 1341 )   RICH HTML PDF(167KB) ( 1838 )   收藏 A globally convergent infeasible-interior-point predictor-corrector algorithm is presented for the second-order cone programming (SOCP) by using the Alizadeh--Haeberly--Overton (AHO) search direction. This algorithm does not require the feasibility of the initial points and iteration points. Under suitable assumptions, it is shown that the algorithm can find an ε-approximate solution of an SOCP in at most O(\sqrt{n}\ln(ε0/ε)) iterations. The iteration-complexity bound of our algorithm is almost the same as the best known bound of feasible interior point algorithms for the SOCP. 相关文章 | 计量指标

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HOLOMORPHIC HARMONIC ANALYSIS ON COMPLEX REDUCTIVE GROUPS 安金鹏; 钱敏; 王正栋 数学物理学报(英文版). 2008 (3):  560-572.  DOI: 10.1016/S0252-9602(08)60059-4 摘要 ( 1181 )   RICH HTML PDF(195KB) ( 1126 )   收藏 The authors define the holomorphic Fourier transform of holomorphic functions on complex reductive groups, prove some properties such as the Fourier inversion formula, and give some applications. The definition of the holomorphic Fourier transform makes use of the notion of K-admissible measures. The authors prove that K-admissible measures are abundant, and the definition of holomorphic Fourier transform is independent of the choice of K-admissible measures. 相关文章 | 计量指标

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PERIODIC BOUNDARY VALUE PROBLEM AND CAUCHY PROBLEM OF THE GENERALIZED CUBIC DOUBLE DISPERSION EQUATION 陈国旺; 薛红霞 数学物理学报(英文版). 2008 (3):  573-587.  DOI: 10.1016/S0252-9602(08)60060-0 摘要 ( 1273 )   RICH HTML PDF(213KB) ( 1348 )   收藏 In this article, the existence, uniqueness and regularities of the global generalized solution and global classical solution for the periodic boundary value problem and the Cauchy problem of the general cubic double dispersion equation utt-uxx-auxxtt+bux4-duxxt=f(u)xx are proved, and the sufficient conditions of blow-up of the solutions for the Cauchy problems in finite time are given. 相关文章 | 计量指标

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A CHARACTERIZATION OF LOCALLY COMPACT INNER AMENABLE GROUPS Ali Ghaffari 数学物理学报(英文版). 2008 (3):  588-594.  DOI: 10.1016/S0252-9602(08)60061-2 摘要 ( 1108 )   RICH HTML PDF(146KB) ( 2405 )   收藏 For locally compact groups G, Kuan Yuan studied a notion of inner amenability groups, that is, if there exists an inner invariant mean on G. In this article, among other things, the author investigates the inner amenability on a locally compact group G. The author gives sufficient conditions and some necessary conditions about G to have an inner invariant mean. 相关文章 | 计量指标

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THE EXISTENCE AND GLOBAL OPTIMAL ASYMPTOTIC BEHAVIOUR OF LARGE SOLUTIONS FOR A SEMILINEAR ELLIPTIC PROBLEM 张志军 数学物理学报(英文版). 2008 (3):  595-603.  DOI: 10.1016/S0252-9602(08)60062-4 摘要 ( 1294 )   RICH HTML PDF(174KB) ( 1197 )   收藏 By Karamata regular variation theory and constructing comparison functions, the author shows the existence and global optimal asymptotic behaviour of solutions for a semilinear elliptic problem △u=k(x)g(u), u>0, x in Omega, u|_{\partial \Omega}=+∞, where Omega is a bounded domain with smooth boundary in RN; g ∈ C1[0,∞), g(0)=g'(0)=0, and there exists p>1, such that $\lim\limits_{s\rightarrow \infty}\frac {g(s \xi)}{g(s)}=\xi^p$, $\forall \ \xi>0$, and $k \in C_{\rm loc}^\alpha(\Omega)$ is non-negative non-trivial in Omega which may be singular on the boundary. 相关文章 | 计量指标

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OBLIQUE DERIVATIVE PROBLEMS FOR SECOND ORDER NONLINEAR MIXED#br# EQUATIONS WITH DEGENERATE LINE 闻国椿 数学物理学报(英文版). 2008 (3):  604-612.  DOI: 10.1016/S0252-9602(08)60063-6 摘要 ( 1017 )   RICH HTML PDF(170KB) ( 1343 )   收藏 The present article deals with oblique derivative problems for some nonlinear mixed equations with parabolic degeneracy, which include the Tricomi problem as a special case. First, the formulation of the problems for the equations is given; next, the representation and estimates of solutions for the above problems are obtained; finally, the existence of solutions for the problems is proved by the successive iteration and the compactness principle of solutions of the problems. In this article, the author uses the complex method, namely, the complex functions in the elliptic domain and the hyperbolic complex functions in hyperbolic domain are used. 相关文章 | 计量指标

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TESTING OF CORRELATION AND HETEROSCEDASTICITY IN NONLINEAR REGRESSION MODELS WITH DBL(p,q,1) RANDOM ERRORS 刘应安; 韦博成 数学物理学报(英文版). 2008 (3):  613-632.  DOI: 10.1016/S0252-9602(08)60064-8 摘要 ( 1147 )   RICH HTML PDF(218KB) ( 1353 )   收藏 Chaos theory has taught us that a system which has both nonlinearity and random input will most likely produce irregular data. If random errors are irregular data, then random error process will raise nonlinearity (Kantz and Schreiber (1997)). Tsai (1986) introduced a composite test for autocorrelation and heteroscedasticity in linear models with AR(1) errors. Liu (2003) introduced a composite test for correlation and heteroscedasticity in nonlinear models with DBL(p,0,1) errors. Therefore, the important problems in regression model are detections of bilinearity, correlation and heteroscedasticity. In this article, the authors discuss more general case of nonlinear models with DBL(p,q,1) random errors by score test. Several statistics for the test of bilinearity, correlation, and heteroscedasticity are obtained, and expressed in simple matrix formulas. The results of regression models with linear errors are extended to those with bilinear errors. The simulation study is carried out to investigate the powers of the test statistics. All results of this article extend and develop results of Tsai (1986), Wei, et al (1995), and Liu, et al (2003). 相关文章 | 计量指标

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ON SELF-DUAL PERMUTATION CODES 樊恽; 袁媛 数学物理学报(英文版). 2008 (3):  633-638.  DOI: 10.1016/S0252-9602(08)60065-X 摘要 ( 983 )   RICH HTML PDF(138KB) ( 1523 )   收藏 Permutation codes over finite fields are introduced, some conditions for existence or non-existence of self-dual permutation codes are obtained. 相关文章 | 计量指标

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TESTING SPHERICITY IN A GMANOVA-MANOVA MODEL WITH NORMAL ERROR 白鹏; 石磊 数学物理学报(英文版). 2008 (3):  639-650.  DOI: 10.1016/S0252-9602(08)60066-1 摘要 ( 1116 )   RICH HTML PDF(178KB) ( 1198 )   收藏 This article presents a statistic for testing the sphericity in a GMANOVA-MANOVA model with normal error. It is shown that the null distribution of this statistic is beta and its nonnull distribution is given in series form of beta distributions. 相关文章 | 计量指标

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BOUNDARY VALUE PROBLEM FOR DEGENERATE AND SINGULAR p-LAPLACIAN SYSTEMS 陈祖墀; 李 杜 数学物理学报(英文版). 2008 (3):  651-664.  DOI: 10.1016/S0252-9602(08)60067-3 摘要 ( 1102 )   RICH HTML PDF(184KB) ( 1248 )   收藏 In this article, using the contraction mapping principle and the shooting method, the authors obtain the existence and uniqueness of the local solution and the global solution to a class of quasilinear elliptic systems with p-Laplacian as its principal. They also obtain the continuous dependence of the solutions on the boundary data. 相关文章 | 计量指标

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MODERATE DEVIATIONS AND LARGE DEVIATIONS FOR A TEST OF SYMMETRY#br# BASED ON KERNEL DENSITY ESTIMATOR 何晓霞; 高付清 数学物理学报(英文版). 2008 (3):  665-674.  DOI: 10.1016/S0252-9602(08)60068-5 摘要 ( 1301 )   RICH HTML PDF(173KB) ( 1414 )   收藏 Let fn be a non-parametric kernel density estimator based on a kernel function K. and a sequence of independent and identically distributed random variables taking values in <b>R</b>. The goal of this article is to prove moderate deviations and large deviations for the statistic $\sup\limits_{x\in{{\Bbb R}}}| {f_{n}(x)-f_{n}(-x)}| $. 相关文章 | 计量指标

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NEGATIVE NORM LEAST-SQUARES METHODS FOR THE INCOMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS 高少芹; 段火元 数学物理学报(英文版). 2008 (3):  675-684.  DOI: 10.1016/S0252-9602(08)60069-7 摘要 ( 1168 )   RICH HTML PDF(158KB) ( 1514 )   收藏 The purpose of this article is to develop and analyze least-squares approximations for the incompressible magnetohydrodynamic equations. The major advantage of the least-squares finite element method is that it is not subjected to the so-called Ladyzhenskaya-Babuska-Brezzi (LBB) condition. The authors employ least-squares functionals which involve a discrete inner product which is related to the inner product in H-1(\Omega). 相关文章 | 计量指标

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A NEW SELF-ADAPTIVE ITERATIVE METHOD FOR GENERAL MIXED QUASI #br# VARIATIONAL INEQUALITIES Abdellah Bnouhachem; Mohamed Khalfaoui; Hafida Benazza 数学物理学报(英文版). 2008 (3):  685-696.  DOI: 10.1016/S0252-9602(08)60070-3 摘要 ( 1095 )   RICH HTML PDF(180KB) ( 1159 )   收藏 The general mixed quasi variational inequality containing a nonlinear term ψ is a useful and an important generalization of variational inequalities. The projection method can not be applied to solve this problem due to the presence of nonlinear term. It is well known that the variational inequalities involving the nonlinear term ψ are equivalent to the fixed point problems and resolvent equations. In this article, the authors use these alternative equivalent formulations to suggest and analyze a new self-adaptive iterative method for solving general mixed quasi variational inequalities. Global convergence of the new method is proved. An example is given to illustrate the efficiency of the proposed method. 相关文章 | 计量指标

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TIME INCONSISTENCY AND REPUTATION IN MONETARY POLICY: A STRATEGIC#br# MODELLING IN CONTINUOUS TIME 李静远; 田国强 数学物理学报(英文版). 2008 (3):  697-710.  DOI: 10.1016/S0252-9602(08)60071-5 摘要 ( 1182 )   RICH HTML PDF(197KB) ( 1107 )   收藏 This article develops a model to examine the equilibrium behavior of the time inconsistency problem in a continuous time economy with stochastic and endogenized distortion. First, the authors introduce the notion of sequentially rational equilibrium, and show that the time inconsistency problem may be solved with trigger reputation strategies for stochastic setting. The conditions for the existence of sequentially rational equilibrium are provided. Then, the concept of sequentially rational stochastically stable equilibrium is introduced. The authors compare the relative stability between the cooperative behavior and uncooperative behavior, and show that the cooperative equilibrium in this monetary policy game is a sequentially rational stochastically stable equilibrium and the uncooperative equilibrium is sequentially rational stochastically unstable equilibrium. In the long run, the zero inflation monetary policies are inherently more stable than the discretion rules, and once established, they tend to persist for longer periods of the time. 相关文章 | 计量指标

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THE EXTENSION OPERATOR IN BANACH SPACES FOR LOCALLY BIHOLOMORPHIC MAPPINGS 刘名生; 朱玉灿 数学物理学报(英文版). 2008 (3):  711-720.  DOI: 10.1016/S0252-9602(08)60072-7 摘要 ( 1038 )   RICH HTML PDF(172KB) ( 1434 )   收藏 In this article, the generalized Roper--Suffridge extension operator in Banach spaces for locally biholomorphic mappings is introduced. It is proved that this operator preserves the starlikeness on some domains in Banach spaces but does not preserves convexity for some cases. Moreover, the growth theorem, covering theorem, and the radius of starlikeness are discussed. Some results of Roper and Suffridge, Gong and Liu, Graham et al in <b> C</b>n are extended to Hilbert spaces or Banach spaces. 相关文章 | 计量指标