数学物理学报(英文版)

当期目录

2008年, 第28卷, 第4期　刊出日期：2008-10-20 上一期下一期

本期栏目： 论文　

全选:

合并摘要

导出引用
EndNote Reference Manager ProCite BibTeX RefWorks

隐藏/显示图片

论文

Select

SOME REMARKS ON HOLOMORPHIC FUNCTIONS AND TAYLOR SERIES IN Cⁿ

余家荣

数学物理学报(英文版). 2008 (4): 721-726. DOI: 10.1016/S0252-9602(08)60073-9

摘要 ( 936 ) RICH HTML

PDF(137KB) ( 1456 )

Some previous results on convergence of Taylor series in Cⁿ[3] are improved by indicating outside the domain of convergence the points where the series diverges and simplifying some proofs. These results contain the Cauchy--Hadamard theorem in C. Some Cauchy integral formulas of a holomorphic function on a closed ball in Cⁿ are constructed and the Taylor series expansion is deduced.

相关文章 | 计量指标

Select

ZERO DISSIPATION LIMIT OF THE COMPRESSIBLE HEAT-CONDUCTING NAVIER-STOKES EQUATIONS IN THE PRESENCE OF THE SHOCK

王益

数学物理学报(英文版). 2008 (4): 727-748. DOI: 10.1016/S0252-9602(08)60074-0

摘要 ( 936 ) RICH HTML

PDF(246KB) ( 1576 )

The zero dissipation limit of the compressible heat-conducting Navier--Stokes equations in the presence of the shock is investigated. It is shown that when the heat conduction coefficient κ and the viscosity coefficient ε satisfy κ=O(ε), κ/ε ≥ c ＞ 0, as ε → 0 (see (1.3)), if the solution of the corresponding Euler equations is piecewise smooth with shock wave satisfying the Lax entropy condition, then there exists a smooth solution to the Navier--Stokes equations, which converges to the piecewise smooth shock solution of the Euler equations away from the shock discontinuity at a rate of ε. The proof is given by a combination of the energy estimates and the matched asymptotic analysis introduced in [3].

相关文章 | 计量指标

Select

LOWER BOUNDS FOR SUP+INF AND SUP*INF AND AN EXTENSION OF CHEN-LIN RESULT IN DIMENSION 3

Samy Skander Bahoura

数学物理学报(英文版). 2008 (4): 749-758. DOI: 10.1016/S0252-9602(08)60075-2

摘要 ( 947 ) RICH HTML

PDF(180KB) ( 1303 )

We give two results about Harnack type inequalities. First, on Riemannian surfaces, we have an estimate of type sup +inf. The second result concern the solutions of prescribed scalar curvature equation on the unit ball of Rⁿ with Dirichlet condition.
Next, we give an inequality of type (sup_K^u)^2s-1× inf

_Ωu ≤ c for positive solutions of △u=Vu⁵ on

Ω ∈R³ , where K is a compact set of Ω and V is s-Hölderian, s ∈]-1/2,1] . For the case s=1/2 and Ω= S₃, we prove that, if min_Ωu > m > 0 (for some particular constant m > 0), and the Hölderian constant A of V tends to 0 (in certain meaning), we have the uniform boundedness of the supremum of the solutions of the previous equation on any compact set of Ω.

相关文章 | 计量指标

Select

THE NORMAL FAMILITY OF MERMORPHIC FUNCTIONS

韩明华; 顾永兴

数学物理学报(英文版). 2008 (4): 759-762. DOI: 10.1016/S0252-9602(08)60076-4

摘要 ( 885 ) RICH HTML

PDF(121KB) ( 1353 )

Let F be a family of mermorphic functions in a domain D, and let a, b, c be complex numbers, a ≠ b. If for each f ∈F, the zeros of f-c are of multiplicity ≥ k+1, and E_f_(k)(a) ∈E_f(a), E_f_(k)(b) ∈ E_f(b), then F is normal in D.

相关文章 | 计量指标

Select

AN OPERATORIAL APPROACH TO SINGULAR INTEGRAL EQUATIONS 0F A MODIFIED TYPE

贺福利; 杜金元

数学物理学报(英文版). 2008 (4): 763-769. DOI: 10.1016/S0252-9602(08)60077-6

摘要 ( 980 ) RICH HTML

PDF(140KB) ( 907 )

In this article, the authors discuss a kind of modified singular integral quations on a disjoint union of closed contours or a disjoint union of open arcs. The authors introduce some singular integral operators associated with this kind of singular integral equations, and obtain some useful properties for them. An operatorial approach is also given together with some illustrated examples.

相关文章 | 计量指标

Select

A RELAXATION RESULT OF FUNCTIONALS IN THE SPACE SBD(Ω)

吕中学; 杨孝平

数学物理学报(英文版). 2008 (4): 770-778. DOI: 10.1016/S0252-9602(08)60078-8

摘要 ( 888 ) RICH HTML

PDF(182KB) ( 903 )

In this article, the authors obtain an integral representation for the relaxation of the functional F(x, u, Ω):={∫Ω f(x, u(x), εu(x))dx if u ∈ W^{1, 1}(Ω, R^N), +∞ otherwise,
in the space of functions of bounded deformation, with respect to L¹-convergence. Here εu represents the absolutely continuous part of the symmetrized distributional derivative εu.f(x, p, ξ) satisfying weak convexity assumption.

相关文章 | 计量指标

Select

INTERSECTIONS AND POLAR FUNCTIONS OF FRACTIONAL BROWNIAN SHEETS

陈振龙

数学物理学报(英文版). 2008 (4): 779-796. DOI: 10.1016/S0252-9602(08)60079-X

摘要 ( 873 ) RICH HTML

PDF(234KB) ( 1256 )

Let B^H={B^H(^t), t ∈ R₊^N} be a real-valued (N, d) fractional Brownian sheet with Hurst index H=(H₁, …, H_N). The characteristics of the polar functions for B^H are discussed. The relationship between the class of continuous functions satisfying Lipschitz condition and the class of polar -functions of B^H is obtained. The Hausdorff dimension about the fixed points and the inequality about the Kolmogorov’s entropy index for B^H are presented. Furthermore, it is proved that any two independent fractional Brownian sheets are nonintersecting in some conditions. A problem proposed by LeGall about the existence of no-polar continuous functions satisfying the Hölder condition is also solved.

相关文章 | 计量指标

Select

A SHORT NOTE ABOUT EXPOSED POINTS IN REAL BANACH SPACES

Antonio Aizpuru; Francisco J Garc

数学物理学报(英文版). 2008 (4): 797-800. DOI: 10.1016/S0252-9602(08)60080-6

摘要 ( 795 ) RICH HTML

PDF(126KB) ( 1997 )

We express the set of exposed points in terms of rotund points and non-smooth points. As long as we have Banach spaces each time "bigger", we consider sets of non-smooth points each time "smaller".

相关文章 | 计量指标

Select

COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH DENSITY-DEPENDENT VISCOSITY, VACUUM AND GRAVITATIONAL FORCE IN THE CASE OF GENERAL PRESSURE

姚磊; 汪文军

数学物理学报(英文版). 2008 (4): 801-817. DOI: 10.1016/S0252-9602(08)60081-8

摘要 ( 1205 ) RICH HTML

PDF(198KB) ( 1293 )

This is a continuation of the article (Comm. Partial Differential Equations 26 (2001) 965). In this article, the authors consider the one-dimensional compressible isentropic Navier--Stokes equations with gravitational force, fixed boundary condition, a general pressure and the density-dependent viscosity coefficient when the viscous gas connects to vacuum state with a jump in density. Precisely, the viscosity coefficient μ is proportional to ρ^θ and 0 < θ < 1/2, where ρ is the density, and the pressure P=P(ρ) is a general pressure. The global existence and the uniqueness of weak solution are proved.

相关文章 | 计量指标

Select

SUPPORTING AND SEPARATING SUBSETS FOR INVEX BODIES

H.K. El-Sayied

数学物理学报(英文版). 2008 (4): 818-822. DOI: 10.1016/S0252-9602(08)60082-X

摘要 ( 750 ) RICH HTML

PDF(200KB) ( 999 )

Invex bodies represent an important class of bodies which are considered as a generalization of convex bodies. In this article, the author studies the supporting for this class of bodies as well as the separating subsets of two bodies.

相关文章 | 计量指标

Select

A NOTE ON KLEIN-GORDON-SCHRöDINGER EQUATIONS WITH HOMOGENEOUS DIRICHLET BOUNDARY CONDITION

赵才地; 周盛凡; 李用声

数学物理学报(英文版). 2008 (4): 823-833. DOI: 10.1016/S0252-9602(08)60083-1

摘要 ( 1039 ) RICH HTML

PDF(175KB) ( 1301 )

This note discusses the long time behavior of solutions for nonautonomous weakly dissipative Klein-Gordon-Schrödinger equations with homogeneous Dirichlet boundary condition. The authors prove the existence of compact kernel sections for the associated process by using a suitable decomposition of the equations.

相关文章 | 计量指标

Select

A GLOBALLY UNIFORM ASYMPTOTIC EXPANSION OF THE HERMITE POLYNOMIALS

史薇

数学物理学报(英文版). 2008 (4): 834-842. DOI: 10.1016/S0252-9602(08)60084-3

摘要 ( 910 ) RICH HTML

PDF(210KB) ( 1656 )

In this article, the author extends the validity of a uniform asymptotic expansion of the Hermite polynomials H_n(2n+1α) to include all positive values of α. His method makes use of the rational functions introduced by Olde Daalhuis and Temme (SIAM J. Math. Anal., (1994), 25: 304-321). A new estimate for the remainder is given.

相关文章 | 计量指标

Select

THE TANGENT CONES ON CONSTRAINT QUALIFICATIONS IN OPTIMIZATION PROBLEMS

黄龙光

数学物理学报(英文版). 2008 (4): 843-850. DOI: 10.1016/S0252-9602(08)60085-5

摘要 ( 835 ) RICH HTML

PDF(141KB) ( 1872 )

This article proposes a few tangent cones, which are relative to the constraint qualifications of optimization problems. With the upper and lower directional derivatives of an objective function, the characteristics of cones on the constraint qualifications are presented. The interrelations among the constraint qualifications, a few cones involved, and level sets of upper and lower directional derivatives are derived.

相关文章 | 计量指标

Select

MULTIPLE POSITIVE SOLUTIONS BOUNDARY VALUE PROBLEMS FOR SUPERLINEAR SECOND ORDER SINGULAR WITH DERIVATIVE DEPENDENCE

闫宝强

数学物理学报(英文版). 2008 (4): 851-864. DOI: 10.1016/S0252-9602(08)60086-7

摘要 ( 915 ) RICH HTML

PDF(191KB) ( 1095 )

The existence of at least two positive solutions is presented for the singular second-order boundary value problem

{(p(t)/1 (p(t)x’(t))′+Φ(t)f(t, x(t), p(t)x′(t))=0, 0 ＜t ＜1,

limt→0 p(t)x′(t)=0, x(1)=0.
by using the fixed point index, where f may be singular at x=0 and px’=0.

相关文章 | 计量指标

Select

LIMIT CYCLES AND INVARIANT PARABOLA IN A KUKLES SYSTEM OF DEGREE THREE

刘振海; E. Sáez; I. Szántó

数学物理学报(英文版). 2008 (4): 865-869. DOI: 10.1016/S0252-9602(08)60087-9

摘要 ( 853 ) RICH HTML

PDF(124KB) ( 1296 )

In this article, the authors consider a class of Kukles planar polynomial differential system of degree three having an invariant parabola. For this class of second-order differential systems, it is shown that for certain values of the
parameters the invariant parabola coexists with a center. For other values it can coexist with one, two or three small amplitude limit cycles which are constructed by Hopf bifurcation. This result gives an answer for the question given in [4], about the existence of limit cycles for such class of system.

相关文章 | 计量指标

Select

SYMMETRIES IN YETTER-DRINFELD CATEGORIES OVER WEAK HOPF ALGEBRAS

高楠

数学物理学报(英文版). 2008 (4): 870-876. DOI: 10.1016/S0252-9602(08)60088-0

摘要 ( 828 ) RICH HTML

PDF(137KB) ( 1124 )

This article is devoted to the study of the symmetry in the Yetter-Drinfeld category of a finite-dimensional weak Hopf algebra.It generalizes the corresponding results in Hopf algebras.

相关文章 | 计量指标

Select

PARTIAL REGULARITY FOR WEAK SOLUTIONS OF STATIONARY NAVIER-STOKES SYSTEMS

陈淑红; 谭忠

数学物理学报(英文版). 2008 (4): 877-894. DOI: 10.1016/S0252-9602(08)60089-2

摘要 ( 764 ) RICH HTML

PDF(221KB) ( 1504 )

This article is concerned with the partial regularity for the weak solutions
of stationary Navier-Stokes system under the controllable growth condition. By A-harmonic approximation technique, the optimal regularity is obtained.

相关文章 | 计量指标

Select

THE UNIFORMLY BOUNDEDNESS OF THE RIESZ TRANSFORMS ON THE CAYLEY HEISENBERG GROUPS

栾静闻; 朱赋鎏

数学物理学报(英文版). 2008 (4): 895-914. DOI: 10.1016/S0252-9602(08)60090-9

摘要 ( 934 ) RICH HTML

PDF(221KB) ( 954 )

In this article, the authors estimate some functions by using the explicit expression of the heat kernels for the Cayley Heisenberg groups, and then prove the uniform boundedness of the Riesz transforms on these nilpotent Lie groups.

相关文章 | 计量指标

Select

VERSAL UNFOLDING OF EQUIVARIANT BIFURCATION PROBLEMS IN MORE GENERAL CASE UNDER TWO EQUIVALENT GROUPS

李养成; 何伟

数学物理学报(英文版). 2008 (4): 915-923. DOI: 10.1016/S0252-9602(08)60091-0

摘要 ( 756 ) RICH HTML

PDF(164KB) ( 1364 )

For the unfolding of equivariant bifurcation problems with two types of state
variables in the presence of parameter symmetry, the versal unfolding theorem with respect to left-right equivalence is obtained by using the related methods and techniques in the singularity theory of smooth map-germs. The corresponding results in [4, 9] can be considered as its special cases. A relationship between the versal unfolding w.r.t. left-right equivalence and the
versal deformation w.r.t. contact equivalence is established.

相关文章 | 计量指标

Select

THE ASYMPTOTIC LIMIT FOR A COMBUSTION MODEL IN REGARD TO INFINITE REACTION RATE

应隆安

数学物理学报(英文版). 2008 (4): 924-932. DOI: 10.1016/S0252-9602(08)60092-2

摘要 ( 866 ) RICH HTML

PDF(158KB) ( 915 )

The Zeldovich-von Neumann-Doring model and the Chapman-Jouguet model for a simplified combustion model--Majda’s model is studied. The author proves a uniform maximum norm estimate, then proves that as the rate of chemical reaction tends to infinity the solutions to the Zeldovich-von Neumann-Doring model tend to that of the Chapman-Jouguet model. The type of combustion waves is studied. This result is compared with the result of the projection and finite difference method for the same model.

相关文章 | 计量指标

Select

DERIVATIONS AND EXTENSIONS OF LIE COLOR ALGEBRA

张庆成; 张永正

数学物理学报(英文版). 2008 (4): 933-948. DOI: 10.1016/S0252-9602(08)60093-4

摘要 ( 768 ) RICH HTML

PDF(200KB) ( 1633 )

In this article, the authors obtain some results concerning derivations of finitely generated Lie color algebras and discuss the relation between skew derivation space SkDer(L) and central extension H²(L, F) on some Lie color algebras. Meanwhile, they generalize the notion of double extension to quadratic Lie color algebras, a sufficient condition for a quadratic Lie color algebra to be a double extension and further properties are given.

相关文章 | 计量指标

Select

BOUND ON THE MAXIMUM NUMBER OF CLEAR TWO-FACTOR INTERACTIONS FOR 2^n-(n-k) DESIGNS

赵胜利; 张润楚

数学物理学报(英文版). 2008 (4): 949-954. DOI: 10.1016/S0252-9602(08)60094-6

摘要 ( 857 ) RICH HTML

PDF(151KB) ( 884 )

Clear effects criterion is an important criterion for selecting fractional factorial designs [1]. Tang et al. [2] derived upper and lower bounds on the maximum number of clear two-factor interactions (2fi’s) in 2^n-(n-k) designs of resolution III and IV by constructing 2^n-(n-k) designs. But the method in [2] does not perform well sometimes when the resolution is III. This article modifies the construction method for 2^n-(n-k) designs of resolution III in [2]. The modified method is a great improvement on that used in [2].

相关文章 | 计量指标

Select

THE SUPERIORITY OF EMPIRICAL BAYES ESTIMATION OF PARAMETERS IN PARTITIONED NORMAL LINEAR MODEL

张伟平; 韦来生

数学物理学报(英文版). 2008 (4): 955-962. DOI: 10.1016/S0252-9602(08)60095-8

摘要 ( 733 ) RICH HTML

PDF(151KB) ( 1537 )

In this article, the empirical Bayes (EB) estimators are constructed for the estimable functions of the parameters in partitioned normal linear model. The superiorities of the EB estimators over ordinary least-squares (LS) estimator are investigated under mean square error matrix (MSEM) criterion.

相关文章 | 计量指标

Select

HOMOGENIZATION OF A STATIONARY NAVIER-STOKES FLOW IN POROUS MEDIUM WITH THIN FILM

姚正安; 赵红星

数学物理学报(英文版). 2008 (4): 963-974. DOI: 10.1016/S0252-9602(08)60096-X

摘要 ( 947 ) RICH HTML

PDF(181KB) ( 1413 )

The article studies the homogenization of a stationary Navier-Stokes
fluid in porous medium with thin film under Dirichlet boundary condition. At the end of the article, "Darcy’s law" is rigorously derived from this model as the parameter ε tends to zero, which is independent of the coordinates towards the thickness.

相关文章 | 计量指标

Select

THE CONSTRUCTION OF DENUMERABLE q-PROCESSES IN RANDOM ENVIRONMENTS SATISFYING (F) OR (B)

胡迪鹤; 胡晓予

数学物理学报(英文版). 2008 (4): 975-988. DOI: 10.1016/S0252-9602(08)60097-1

摘要 ( 991 ) RICH HTML

PDF(194KB) ( 1044 )

This article is a continuation of [9]. Based on the discussion of random Kolmogorov forward (backward) equations, for any given q-matrix in random environment, Q(θ)=(q(θ; x, y), x, y∈ χ), an infinite class of q-processes in random environments satisfying the random Kolmogorov forward (backward) equation is constructed. Moreover, under some conditions, all the q-processes in random environments satisfying the random Kolmogorov forward (backward) equation are constructed.

相关文章 | 计量指标

Select

EFFICIENT ESTIMATION OF FUNCTIONAL-COEFFICIENT REGRESSION MODELS WITH DIFFERENT SMOOTHING VARIABLES

张日权; 李国英

数学物理学报(英文版). 2008 (4): 989-997. DOI: 10.1016/S0252-9602(08)60098-3

摘要 ( 876 ) RICH HTML

PDF(197KB) ( 1097 )

In this article, a procedure for estimating the coefficient functions on the functional-coefficient regression models with different smoothing variables in different coefficient functions is defined. First step, by the local linear technique and the averaged method, the initial estimates of the coefficient functions are given. Second step, based on the initial estimates, the efficient estimates of the coefficient functions are proposed by a one-step back-fitting procedure. The efficient estimators share the same asymptotic normalities as the local linear estimators for the functional-coefficient models with a single smoothing variable in different functions. Two simulated examples show that the procedure is effective.

相关文章 | 计量指标

Select

AN ORDER PRESERVING INEQUALITY FOR THREE OPERATORS VIA FURUTA INEQUALITY

杨长森

数学物理学报(英文版). 2008 (4): 998-002. DOI: 10.1016/S0252-9602(08)60099-5

摘要 ( 790 ) RICH HTML

PDF(142KB) ( 899 )

Furuta showed that if A ≥ B ≥0, then for each r≥0, f(p)=(A^r/2B^pA^r^/2)^t+r/^p+r
is decreasing for p≥t≥0. Using this result, the following inequality (C^r^/2AB²A)^δC^r^/2)^p-1+r/^4δ+r≤C^p^-1+r is obtained for 0<p≤1, r≥1, 1/4≤δ≤1 and three positive operators A, B, C satisfy (A^1/2 B A^1/2)^p/2 ≤ A^p, (B^1/2 AB^1/2)^p/2 ≥ B^p, (C^1/2 AC^1/2)^p/2 ≤C^p, (A^1/2 CA^1/2)^p/2≥A^p.

相关文章 | 计量指标

信息公告

更多...

《数学物理学报》2024年度主编、编委、学术专辑客座主编的劳务费发放通知
　2024-11-28
《数学物理学报》2023年度优秀论文、审稿人、编委的奖励通知
　2024-01-05
《数学物理学报（英文）》2023年度优秀论文目录
　2024-01-05
《数学物理学报》2023年度优秀审稿人目录
　2024-01-05
《数学物理学报》2022年度优秀审稿人目录
　2023-01-04
《数学物理学报（英文版）》2022年度优秀论文目录
　2023-01-04
《数学物理学报》2022年度优秀论文、审稿人、编委的奖励通知
　2023-01-04
关于2021年优秀论文、审稿人、编委的奖励通知
　2021-12-10
《数学物理学报》（英文版）2021年优秀论文目录
　2021-12-10
《数学物理学报》（英文版）2021年优秀审稿人名单
　2021-12-10

资料下载

更多...

友情链接

精彩推荐

更多...

Xiaohong QIN etal won the 2018 One-Hundred Excellent S&T Papers
　2018-12-25
Jinkai LI & Zhouping XIN won the 2017 One-Hundred Excellent S&T Paper
　2018-12-23