当期目录

2015年, 第35卷, 第1期　刊出日期：2015-01-20 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

ON LOCAL STRUCTURAL STABILITY OF ONE-DIMENSIONAL SHOCKS IN RADIATION HYDRODYNAMICS 唐平凡|方北香|王亚光 数学物理学报(英文版). 2015 (1):  1-44.  DOI: 10.1016/S0252-9602(14)60137-5 摘要 ( 157 )   RICH HTML PDF(394KB) ( 965 )   收藏 In this paper, we are concerned with the local structural stability of one-dimensional shock waves in radiation hydrodynamics described by the isentropic Euler-Boltzmann equa-tions. Even though in this radiation hydrodynamics model, the radiative effects can be understood as source terms to the isentropic Euler equations of hydrodynamics, in general the radiation field has singularities propagated in an angular domain issuing from the initial point across which the density is discontinuous. This is the major difficulty in the stability analysis of shocks. Under certain assumptions on the radiation parameters, we show there ex-ists a local weak solution to the initial value problem of the one dimensional Euler-Boltzmann equations, in which the radiation intensity is continuous, while the density and velocity are piecewise Lipschitz continuous with a strong discontinuity representing the shock-front. The existence of such a solution indicates that shock waves are structurally stable, at least local in time, in radiation hydrodynamics. 参考文献 | 相关文章 | 计量指标

Select

EXISTENCE AND STABILITY OF STANDING WAVES FOR A COUPLED NONLINEAR SCHR¨|ODINGER SYSTEM 曾小雨|张贻民|周焕松 数学物理学报(英文版). 2015 (1):  45-70.  DOI: 10.1016/S0252-9602(14)60138-7 摘要 ( 142 )   RICH HTML PDF(294KB) ( 502 )   收藏 We study the existence and stability of the standing waves of two coupled Schr¨odinger equations with potentials |x|bi (bi 2 R, i = 1, 2). Under suitable conditions on the growth of the nonlinear terms, we first establish the existence of standing waves of the  Schr¨odinger system by solving a L2-normalized minimization problem, then prove that the set of all minimizers of this minimization problem is stable. Finally, we obtain the least energy solutions by the Nehari method and prove that the orbit sets of these least energy solutions are unstable, which generalizes the results of [11] where b1 = b2 = 2. 参考文献 | 相关文章 | 计量指标

Select

ON THE VALIRON’S THEOREM IN THE POLYDISK 王刚|邓方文 数学物理学报(英文版). 2015 (1):  71-78.  DOI: 10.1016/S0252-9602(14)60139-9 摘要 ( 115 )   RICH HTML PDF(163KB) ( 931 )   收藏 In this paper, we discuss the Valiron’s theorem in the unit polydisk DN. We prove that for a holomorphic map ' : DN → DN satisfying some regular conditions, there exists a holomorphic map  : DN → H and a constant > 0 such that  ? ' = 1  . It is based on the extension of Julia-Wolff-Carath´eodory (JWC) theorem of D in the polydisk 参考文献 | 相关文章 | 计量指标

Select

RATE OF CONVERGENCE AND EXPANSION OF RÉNYI ENTROPIC CENTRAL LIMIT THEOREM 孙建强|丁义明 数学物理学报(英文版). 2015 (1):  79-88.  DOI: 10.1016/S0252-9602(14)60140-5 摘要 ( 143 )   RICH HTML PDF(179KB) ( 509 )   收藏 We obtain the expansion of R´enyi divergence of order α (0 <α < 1) between the normalized sum of IID continuous random variables and the Gaussian limit under minimal moment conditions via Edgeworth-type expansion. The rate is faster than that of Shannon case, which can be used to improve the rate of convergence in total variance norm. 参考文献 | 相关文章 | 计量指标

Select

A NOTE ON SCHWARZ LEMMA FOR THE MODULUS OF HOLOMORPHIC MAPPINGS ON D 刘洋|戴邵虞 数学物理学报(英文版). 2015 (1):  89-94.  DOI: 10.1016/S0252-9602(14)60141-7 摘要 ( 142 )   RICH HTML PDF(144KB) ( 1129 )   收藏 In this note, we consider a holomorphic mapping f from the unit disk D in C to p-ball Bp ={z ∈ Cn :∑n i=1 |zi|p < 1 , 1 < p < +∞. It is proved that for such f, |∇||f||(z)| ≤ 1 − ||f(z)||2 /1 − |z|2 , z ∈ D. The extremal problem is also discussed when p is an even number. This result extends some related results on Schwarz lemma. 参考文献 | 相关文章 | 计量指标

Select

EVOLUTIONARY DYNAMICS ON ONE-DIMENSIONAL CYCLE WITH SHIFTING MECHANISM AND TINY MUTATION RATE 王先甲|兰军|董前进 雷国梁 数学物理学报(英文版). 2015 (1):  95-104.  DOI: 10.1016/S0252-9602(14)60142-9 摘要 ( 132 )   RICH HTML PDF(166KB) ( 1042 )   收藏 In this paper we study the impact of tiny mutation on the evolutionary dynamics on one-dimensional cycle with shifting mechanism. The evolutionary success is evaluated by investigating the stationary distribution of the ergodic process with the idea of viscosity solutions. The cooperative behaviors in ecosystem and social system are briefly discussed by applying the results to the prisoner’s dilemma game. 参考文献 | 相关文章 | 计量指标

Select

GROWTH OF MEROMORPHIC SOLUTIONS OF SOME ALGEBRAIC DIFFERENTIAL EQUATIONS 李叶舟|戚建明|袁文俊 数学物理学报(英文版). 2015 (1):  105-111.  DOI: 10.1016/S0252-9602(14)60143-0 摘要 ( 118 )   RICH HTML PDF(157KB) ( 977 )   收藏 In this paper, by means of the normal family theory, we estimate the growth order of meromorphic solutions of some algebraic differential equations and improve the related result of Barsegian et al. [6]. We also give some examples to show that our results occur in some special cases. 参考文献 | 相关文章 | 计量指标

Select

A NOTE ON GLOBAL WELL-POSEDNESS OF SOLUTIONS TO BOUSSINESQ EQUATIONS WITH FRACTIONAL DISSIPATION 叶专 数学物理学报(英文版). 2015 (1):  112-120.  DOI: 10.1016/S0252-9602(14)60144-2 摘要 ( 141 )   RICH HTML PDF(172KB) ( 577 )   收藏 The goal of this paper is to consider the global well-posedness to n-dimensional (n  3) Boussinesq equations with fractional dissipation. More precisely, it is proved that there exists a unique global regular solution to the Boussinesq equations provided the real parameter satisfies  1 2 + n 4 . 参考文献 | 相关文章 | 计量指标

Select

THE NORMALITY OF ALGEBROID MULTIFUNCTIONS AND THEIR COEFFICIENT FUNCTIONS 柴富杰|高宗升 数学物理学报(英文版). 2015 (1):  121-132.  DOI: 10.1016/S0252-9602(14)60145-4 摘要 ( 205 )   RICH HTML PDF(188KB) ( 751 )   收藏 In this paper, we investigate the normality relationship between algebroid mul-tifunctions and their coefficient functions. We prove that the normality of a k-valued entire algebroid multifunctions family is equivalent to their coefficient functions in some conditions. Furthermore, we obtain some new normality criteria for algebroid multifunctions families based on these results. We also provide some examples to expound that some restricted conditions of our main results are necessary. 参考文献 | 相关文章 | 计量指标

Select

ON THE GENERALIZED ORDER OF DIRICHLET SERIES 霍颖莹|孔荫莹 数学物理学报(英文版). 2015 (1):  133-139.  DOI: 10.1016/S0252-9602(14)60146-6 摘要 ( 147 )   RICH HTML PDF(188KB) ( 778 )   收藏 By the method of Knopp-Kojima, the generalized order of Dirichlet series is studied and some interesting relations on the maximum modulus, the maximum term and the coefficients of entire function defined by Dirichlet series of slow growth are obtained, which briefly extends some results of paper [1]. 参考文献 | 相关文章 | 计量指标

Select

GLOBAL CLASSICAL SOLUTIONS FOR QUANTUM KINETIC FOKKER-PLANCK EQUATIONS 罗兰|张新平 数学物理学报(英文版). 2015 (1):  140-156.  DOI: 10.1016/S0252-9602(14)60147-8 摘要 ( 144 )   RICH HTML PDF(212KB) ( 1059 )   收藏 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. 参考文献 | 相关文章 | 计量指标

Select

ON THE EXISTENCE OF LOCAL CLASSICAL SOLUTION FOR A CLASS OF ONE-DIMENSIONAL COMPRESSIBLE NON-NEWTONIAN FLUIDS 方莉|李自来 数学物理学报(英文版). 2015 (1):  157-181.  DOI: 10.1016/S0252-9602(14)60148-X 摘要 ( 130 )   RICH HTML PDF(263KB) ( 996 )   收藏 In this paper, the aim is to establish the local existence of classical solutions for a class of compressible non-Newtonian fluids with vacuum in one-dimensional bounded intervals, under the assumption that the data satisfies a natural compatibility condition. For the results, the initial density does not need to be bounded below away from zero. 参考文献 | 相关文章 | 计量指标

Select

TOEPLITZ OPERATORS ASSOCIATED WITH SEMIFINITE VON NEUMANN ALGEBRA 闫成|吐尔德别克 数学物理学报(英文版). 2015 (1):  182-188.  DOI: 10.1016/S0252-9602(14)60149-1 摘要 ( 170 )   RICH HTML PDF(167KB) ( 416 )   收藏 Let H2(M) be a noncommutative Hardy space associated with semifinite von Neumann algebra M , we get the connection between numerical spectrum and the spectrum of Toeplitz operator Tt acting on H2(M), and the norm of Toeplitz operator Tt is equivalent to ktk when t is hyponormal operator in M. 参考文献 | 相关文章 | 计量指标

Select

A REMARK ON LIMINF SETS IN DIOPHANTINE APPROXIMATION 刘佳|孙钰 数学物理学报(英文版). 2015 (1):  189-194.  DOI: 10.1016/S0252-9602(14)60150-8 摘要 ( 97 )   RICH HTML PDF(142KB) ( 919 )   收藏 Let Q be an infinite set of positive integers,  > 1 be a real number and let  (Q) = x 2 R : x − q q− for infinitely many (p, q) 2 Z × Q. For any given positive integer m, set Q(m) = {n 2 N : (n,m) = 1}. If m is divisible by at least two prime factors, Adiceam [1] showed that W (N) \ W (Q(m)) contains uncountably many Liouville numbers, and asked if it contains any non-Liouville numbers? In this note, we give an affirmative answer to Adiceam’s question. 参考文献 | 相关文章 | 计量指标

Select

MEROMORPHIC SOLUTIONS OF A TYPE OF SYSTEM OF COMPLEX DIFFERENTIAL-DIFFERENCE EQUATIONS 李海绸|高凌云 数学物理学报(英文版). 2015 (1):  195-206.  DOI: 10.1016/S0252-9602(14)60151-X 摘要 ( 149 )   RICH HTML PDF(185KB) ( 1055 )   收藏 Applying Nevanlinna theory of the value distribution of meromorphic functions, we mainly study the growth and some other properties of meromorphic solutions of the type of system of complex differential and difference equations of the following form nPj=1 j (z)f (j1)1 (z + cj ) = R2(z, f2(z)), n Pj=1 j (z)f (j2) 2 (z + cj ) = R1(z, f1(z)). () where ij (j = 1, 2, · · · , n; i = 1, 2) are finite non-negative integers, and cj (j = 1, 2, · · · , n) are distinct, nonzero complex numbers, j(z), j(z) (j = 1, 2, · · · , n) are small functions relative to fi(z) (i = 1, 2) respectively, Ri(z, f(z)) (i = 1, 2) are rational in fi(z) (i = 1, 2) with coefficients which are small functions of fi(z) (i = 1, 2) respectively. 参考文献 | 相关文章 | 计量指标

Select

MULTI-DIMENSIONAL MARKOV CHAIN–BASED ANALYSIS OF CONFLICT PROBABILITY FOR SPECTRUM RESOURCE SHARING 张轶|喻莉|张利维 数学物理学报(英文版). 2015 (1):  207-215.  DOI: 10.1016/S0252-9602(14)60152-1 摘要 ( 112 )   RICH HTML PDF(871KB) ( 948 )   收藏 In this paper, we consider the optimal problem of channels sharing with het- erogeneous traffic (real-time service and non-real-time service) to reduce the data conflict probability of users. Moreover, a multi-dimensional Markov chain model is developed to analyze the performance of the proposed scheme. Meanwhile, performance metrics are de- rived. Numerical results show that the proposed scheme can effectively reduce the forced termination probability, blocking probability and spectrum utilization. 参考文献 | 相关文章 | 计量指标

Select

TIME PERIODIC SOLUTIONS OF NON-ISENTROPIC COMPRESSIBLE MAGNETOHYDRODYNAMIC SYSTEM 许秋菊|蔡虹|谭忠 数学物理学报(英文版). 2015 (1):  216-234.  DOI: 10.1016/S0252-9602(14)60153-3 摘要 ( 166 )   RICH HTML PDF(248KB) ( 880 )   收藏 In this paper, we study the non-isentropic compressible magnetohydrodynamic system with a time periodic external force in Rn. Under the condition that the optimal time decay rates are obtained by spectral analysis, we show that the existence, uniqueness and time-asymptotic stability of time periodic solutions when the space dimension n  5. Our proof is based on a combination of the energy method and the contraction mapping theorem. 参考文献 | 相关文章 | 计量指标

Select

THE GAUSS–GREEN THEOREM IN CLIFFORD ANALYSIS AND ITS APPLICATIONS 罗纬宇|杜金元 数学物理学报(英文版). 2015 (1):  235-254.  DOI: 10.1016/S0252-9602(14)60154-5 摘要 ( 125 )   RICH HTML PDF(258KB) ( 517 )   收藏 In this article, we establish the Gauss–Green type theorems for Clifford-valued functions in Clifford analysis. The boundary conditions in theorems obtained are very gen- eral by using the geometric measure theoretic method. The Cauchy–Pompeiu formula for Clifford-valued functions under the weak condition will be derived as their simple applica- tion. Furthermore, Cauchy formula for monogenic functions under the weak condition is derived directly from the Cauchy–Pompeiu formula. 参考文献 | 相关文章 | 计量指标

Select

GLOBAL WELL-POSEDNESS AND SCATTERING FOR THE MASS-CRITICAL HARTREE EQUATION IN HIGH DIMENSIONS 夏红强 数学物理学报(英文版). 2015 (1):  255-274.  DOI: 10.1016/S0252-9602(14)60155-7 摘要 ( 123 )   RICH HTML PDF(240KB) ( 640 )   收藏 We obtain global well-posedness and scattering, and global L2(d+2)dt,x spacetimebounds for solutions to the defocusing mass-critical Hartree equation in Rt × Rdx, d  5. 参考文献 | 相关文章 | 计量指标

Select

SOME FURTHER NOTES ON THE MATRIX EQUATIONS ATXB + BTXTA = C ANDATXB + BTXA = C G.SOARES 数学物理学报(英文版). 2015 (1):  275-280.  DOI: 10.1016/S0252-9602(14)60156-9 摘要 ( 156 )   RICH HTML PDF(138KB) ( 879 )   收藏 Dehghan and Hajarian, [4], investigated the matrix equations ATXB+BTXTA = C and ATXB + BTXA = C providing inequalities for the determinant of the solutions of these equations. In the same paper, the authors presented a lower bound for the product of the eigenvalues of the solutions to these matrix equations. Inspired by their work, we give some generalizations of Dehghan and Hajarian results. Using the theory of the numerical ranges, we present an inequality involving the trace of C when A,B,X are normal matrices satisfying ATB = BAT 参考文献 | 相关文章 | 计量指标