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2016年, 第36卷, 第1期　刊出日期：2016-01-30 上一期    下一期

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SOME STABILITY RESULTS FOR TIMOSHENKO SYSTEMS WITH COOPERATIVE FRICTIONAL AND INFINITE-MEMORY DAMPINGS IN THE DISPLACEMENT Aissa GUESMIA, Salim MESSAOUDI 数学物理学报(英文版). 2016 (1):  1-33.  DOI: 10.1016/S0252-9602(15)30075-8 摘要 ( 117 )   RICH HTML PDF   收藏 In this paper, we consider a vibrating system of Timoshenko-type in a one-dimensional bounded domain with complementary frictional damping and infinite memory acting on the transversal displacement. We show that the dissipation generated by these two complementary controls guarantees the stability of the system in case of the equal-speed propagation as well as in the opposite case. We establish in each case a general decay estimate of the solutions. In the particular case when the wave propagation speeds are different and the frictional damping is linear, we give a relationship between the smoothness of the initial data and the decay rate of the solutions. By the end of the paper, we discuss some applications to other Timoshenko-type systems. 参考文献 | 相关文章 | 计量指标

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STABILITY OF VISCOUS SHOCK WAVES FOR THE ONE-DIMENSIONAL COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH DENSITY-DEPENDENT VISCOSITY 何躏, 唐少君, 王涛 数学物理学报(英文版). 2016 (1):  34-48.  DOI: 10.1016/S0252-9602(15)30076-X 摘要 ( 122 )   RICH HTML PDF   收藏 We study the large-time behavior toward viscous shock waves to the Cauchy problem of the one-dimensional compressible isentropic Navier-Stokes equations with density-dependent viscosity. The nonlinear stability of the viscous shock waves is shown for certain class of large initial perturbation with integral zero which can allow the initial density to have large oscillation. Our analysis relies upon the technique developed by Kanel' and the continuation argument. 参考文献 | 相关文章 | 计量指标

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STABILITY ANALYSIS OF A COMPUTER VIRUS PROPAGATION MODEL WITH ANTIDOTE IN VULNERABLE SYSTEM Nguyen Huu KHANH 数学物理学报(英文版). 2016 (1):  49-61.  DOI: 10.1016/S0252-9602(15)30077-1 摘要 ( 143 )   RICH HTML PDF   收藏 We study a proposed model describing the propagation of computer virus in the network with antidote in vulnerable system. Mathematical analysis shows that dynamics of the spread of computer viruses is determined by the threshold R0. If R0≤1, the virus-free equilibrium is globally asymptotically stable, and if R0>1, the endemic equilibrium is globally asymptotically stable. Lyapunov functional method as well as geometric approach are used for proving the global stability of equilibria. A numerical investigation is carried out to confirm the analytical results. Through parameter analysis, some effective strategies for eliminating viruses are suggested. 参考文献 | 相关文章 | 计量指标

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STABILITY OF A PREDATOR-PREY SYSTEM WITH PREY TAXIS IN A GENERAL CLASS OF FUNCTIONAL RESPONSES M. YOUSEFNEZHAD, S. A. MOHAMMADI 数学物理学报(英文版). 2016 (1):  62-72.  DOI: 10.1016/S0252-9602(15)30078-3 摘要 ( 145 )   RICH HTML PDF   收藏 In this paper, a diffusive predator-prey system with general functional responses and prey-tactic sensitivities is studied. Providing such generality, we construct a Lyapunov function and we show that the positive constant steady state is locally and globally asymptotically stable. With an eye on the biological interpretations, a numerical simulation is performed to illustrate the feasibility of the analytical findings. 参考文献 | 相关文章 | 计量指标

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NONSMOOTH CRITICAL POINT THEOREMS AND ITS APPLICATIONS TO QUASILINEAR SCHRÖDINGER EQUATIONS 李周欣, 沈尧天 数学物理学报(英文版). 2016 (1):  73-86.  DOI: 10.1016/S0252-9602(15)30079-5 摘要 ( 90 )   RICH HTML PDF   收藏 In this paper, the existence and nonexistence of solutions to a class of quasilinear elliptic equations with nonsmooth functionals are discussed, and the results obtained are applied to quasilinear Schrödinger equations with negative parameter which arose from the study of self-channeling of high-power ultrashort laser in matter. 参考文献 | 相关文章 | 计量指标

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NORMAL FAMILIES OF MEROMORPHIC FUNCTIONS WITH SHARED VALUES 陈玮, 田宏根, 扈培础 数学物理学报(英文版). 2016 (1):  87-93.  DOI: 10.1016/S0252-9602(15)30080-1 摘要 ( 77 )   RICH HTML PDF   收藏 We obtain some normality criteria of families of meromorphic functions sharing values related to Hayman conjecture, which improves some earlier related results. 参考文献 | 相关文章 | 计量指标

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EDELSTEIN-SUZUKI-TYPE RESULTS FOR SELF-MAPPINGS IN VARIOUS ABSTRACT SPACES WITH APPLICATION TO FUNCTIONAL EQUATIONS Stojan RADENOVIC,Peyman SALIMI, Calogero VETRO, Tatjana DOSENOVIC 数学物理学报(英文版). 2016 (1):  94-110.  DOI: 10.1016/S0252-9602(15)30081-3 摘要 ( 111 )   RICH HTML PDF   收藏 The fixed point theory provides a sound basis for studying many problems in pure and applied sciences. In this paper, we use the notions of sequential compactness and completeness to prove Eldeisten-Suzuki-type fixed point results for self-mappings in various abstract spaces. We apply our results to get a bounded solution of a functional equation arising in dynamic programming. 参考文献 | 相关文章 | 计量指标

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FREE BOUNDARY VALUE PROBLEM FOR THE CYLINDRICALLY SYMMETRIC COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH DENSITY-DEPENDENT VISCOSITY 连汝续, 刘健 数学物理学报(英文版). 2016 (1):  111-123.  DOI: 10.1016/S0252-9602(15)30082-5 摘要 ( 106 )   RICH HTML PDF   收藏 In this paper, we investigate the free boundary value problem(FBVP) for the cylindrically symmetric isentropic compressible Navier-Stokes equations(CNS) with density-dependent viscosity coefficients in the case that across the free surface stress tensor is balanced by a constant exterior pressure. Under certain assumptions imposed on the initial data, we prove that there exists a unique global strong solution which tends pointwise to a non-vacuum equilibrium state at an exponential time-rate as the time tends to infinity. 参考文献 | 相关文章 | 计量指标

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CONVERGENCE OF THE CRANK-NICOLSON/NEWTON SCHEME FOR NONLINEAR PARABOLIC PROBLEM 冯新龙, 何银年 数学物理学报(英文版). 2016 (1):  124-138.  DOI: 10.1016/S0252-9602(15)30083-7 摘要 ( 104 )   RICH HTML PDF   收藏 In this paper, the Crank-Nicolson/Newton scheme for solving numerically second-order nonlinear parabolic problem is proposed. The standard Galerkin finite element method based on P2 conforming elements is used to the spatial discretization of the problem and the Crank-Nicolson/Newton scheme is applied to the time discretization of the resulted finite element equations. Moreover, assuming the appropriate regularity of the exact solution and the finite element solution, we obtain optimal error estimates of the fully discrete Crank-Nicolson/Newton scheme of nonlinear parabolic problem. Finally, numerical experiments are presented to show the efficient performance of the proposed scheme. 参考文献 | 相关文章 | 计量指标

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HURWITZ-HODGE INTEGRAL IDENTITIES FROM THE ORBIFOLD MARIÑO-VAFA FORMULA 赵晨 数学物理学报(英文版). 2016 (1):  139-156.  DOI: 10.1016/S0252-9602(15)30084-9 摘要 ( 72 )   RICH HTML PDF   收藏 In this paper, we present some polynomial identities of Hurwitz-Hodge integral. Subsequently, we present how to obtain some Hurwitz-Hodge integral identities from the polynomial identity. Lastly, we give a recursion formula for Hurwitz-Hodge integral <τbLλgλ1>ga. 参考文献 | 相关文章 | 计量指标

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ZERO DISSIPATION LIMIT TO CONTACT DISCONTINUITY FOR THE COMPRESSIBLE NAVIER-STOKES SYSTEM OF GENERAL GAS Hakho HONG 数学物理学报(英文版). 2016 (1):  157-172.  DOI: 10.1016/S0252-9602(15)30085-0 摘要 ( 92 )   RICH HTML PDF   收藏 The zero dissipation limit to the contact discontinuities for one-dimensional com-pressible Navier-Stokes equations was recently proved for ideal polytropic gas(see Huang et al. [15, 22] and Ma [31]), but there is few result for general gases including ideal polytropic gas. We prove that if the solution to the corresponding Euler system of general gas satisfying(1.4) is piecewise constant with a contact discontinuity, then there exist smooth solutions to Navier-Stokes equations which converge to the inviscid solutions at a rate of κ1/4 as the heat-conductivity coefficient κ tends to zero. The key is to construct a viscous contact wave of general gas suitable to our proof(see Section 2). Notice that we have no need to restrict the strength of the contact discontinuity to be small. 参考文献 | 相关文章 | 计量指标

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KERNEL WORDS AND GAP SEQUENCE OF THE TRIBONACCI SEQUENCE 黄煜可, 文志英 数学物理学报(英文版). 2016 (1):  173-194.  DOI: 10.1016/S0252-9602(15)30086-2 摘要 ( 110 )   RICH HTML PDF   收藏 In this paper, we investigate the factor properties and gap sequence of the Tri-bonacci sequence, the fixed point of the substitution σ(a, b, c)=(ab, ac, a). Let ωp be the p-th occurrence of ω and Gp(ω) be the gap between ωp and ωp+1. We introduce a notion of kernel for each factor ω, and then give the decomposition of the factor ω with respect to its kernel. Using the kernel and the decomposition, we prove the main result of this paper:for each factor ω, the gap sequence {Gp(ω)}p≥1 is the Tribonacci sequence over the alphabet {G1(ω), G2(ω), G4(ω)}, and the expressions of gaps are determined completely. As an appli-cation, for each factor ω and p∈N, we determine the position of ωp. Finally we introduce a notion of spectrum for studying some typical combinatorial properties, such as power, overlap and separate of factors. 参考文献 | 相关文章 | 计量指标

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ON GROWTH OF MEROMORPHIC SOLUTIONS OF NONLINEAR DIFFERENCE EQUATIONS AND TWO CONJECTURES OF C.C.YANG 张月阳, 高宗升, 张继龙 数学物理学报(英文版). 2016 (1):  195-202.  DOI: 0.1016/S0252-9602(15)30087-4 摘要 ( 128 )   RICH HTML PDF   收藏 In this paper, we investigate the growth of the meromorphic solutions of the following nonlinear difference equations f(z)n+Pn-1(f)=0, where n≥2 and Pn-1(f) is a difference polynomial of degree at most n-1 in f with small functions as coefficients.Moreover, we give two examples to show that one conjecture proposed by Yang and Laine [2] does not hold in general if the hyper-order of f(z) is no less than 1. 参考文献 | 相关文章 | 计量指标

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SZEGÖ KERNEL FOR HARDY SPACE OF MATRIX FUNCTIONS 贺福利, 库敏, Uwe KÄHLER 数学物理学报(英文版). 2016 (1):  203-214.  DOI: 10.1016/S0252-9602(15)30088-6 摘要 ( 103 )   RICH HTML PDF   收藏 By the characterization of the matrix Hilbert transform in the Hermitian Clifford analysis, we introduce the matrix Szegö projection operator for the Hardy space of Hermitean monogenic functions defined on a bounded sub-domain of even dimensional Euclidean space, establish the Kerzman-Stein formula which closely connects the matrix Szegö projection operator with the Hardy projection operator onto the Hardy space, and get the matrix Szegö projection operator in terms of the Hardy projection operator and its adjoint. Furthermore, we construct the explicit matrix Szegö kernel function for the Hardy space on the sphere as an example, and get the solution to a boundary value problem for matrix functions. 参考文献 | 相关文章 | 计量指标

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ON WEAK FILTER CONVERGENCE AND THE RADON-RIESZ TYPE THEOREM 鲍玲鑫 数学物理学报(英文版). 2016 (1):  215-219.  DOI: 10.1016/S0252-9602(15)30089-8 摘要 ( 99 )   RICH HTML PDF   收藏 The author shows a characterization of a(unbounded) weakly filter convergent sequence which is parallel to that every weakly null sequence(xn) in a Banach space admits a norm null sequence(yn) with yn∈co(xk)k≥n for all n∈N.A version of the Radon-Riesz type theorem is also proved within the frame of the filter convergence. 参考文献 | 相关文章 | 计量指标

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BLOW-UP OF CLASSICAL SOLUTIONS TO THE COMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS WITH VACUUM 朱圣国 数学物理学报(英文版). 2016 (1):  220-232.  DOI: 10.1016/S0252-9602(15)30090-4 摘要 ( 103 )   RICH HTML PDF   收藏 In this paper, we consider the formation of singularity for the classical solutions to compressible MHD equations without thermal conductivity or infinity electric conductivity when the initial data contains vacuum. We show that the life span of any smooth solution will not be extended to ∞, if the initial vacuum only appears in some local domain and the magnetic field vanishes on the interface that separates the vacuum and non-vacuum state, regardless the size of the initial data or the far field state. 参考文献 | 相关文章 | 计量指标

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EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS FOR GRADIENT SYSTEMS IN FINITE DIMENSIONAL SPACES Sahbi BOUSSANDEL 数学物理学报(英文版). 2016 (1):  233-243.  DOI: 10.1016/S0252-9602(15)30091-6 摘要 ( 86 )   RICH HTML PDF   收藏 This paper deals with an abstract periodic gradient system in which the gradient is taken with respect to a variable metric. We obtain an existence and uniqueness result via the application of a global inverse theorem. 参考文献 | 相关文章 | 计量指标

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SECONDARY CRITICAL EXPONENT AND LIFE SPAN FOR A DOUBLY SINGULAR PARABOLIC EQUATION WITH A WEIGHTED SOURCE 郑攀, 穆春来, 胡学刚, 张付臣 数学物理学报(英文版). 2016 (1):  244-256.  DOI: 10.1016/S0252-9602(15)30092-8 摘要 ( 109 )   RICH HTML PDF   收藏 This paper deals with the Cauchy problem for a doubly singular parabolic equa-tion with a weighted source ut=div(|∇u|p-2∇um)+|x|αuq,(x, t)∈RN×(0, T), where N≥1, 1< p< 2, m>max{0, 3-p-p/N} satisfying 2< p+m< 3, q>1, and α>N(3-p-m)-p.We give the secondary critical exponent on the decay asymptotic behavior of an initial value at infinity for the existence and non-existence of global solutions of the Cauchy problem.Moreover, the life span of solutions is also studied. 参考文献 | 相关文章 | 计量指标

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ON POINTS CONTAIN ARITHMETIC PROGRESSIONS IN THEIR LÜROTH EXPANSION 张振亮, 曹春云 数学物理学报(英文版). 2016 (1):  257-264.  DOI: 10.1016/S0252-9602(15)30093-X 摘要 ( 83 )   RICH HTML PDF   收藏 For any x∈(0, 1](except at most countably many points), there exists a unique sequence {dn(x)}n≥1 of integers, called the digit sequence of x, such that x=1/(d1(x)(d1(x)-1)…dj-1(x)(dj-1(x)-1)dj(x)) .The dexter infinite series expansion is called the Lüroth expansion of x.This paper is concerned with the size of the set of points x whose digit sequence in its Lüroth expansion is strictly increasing and contains arbitrarily long arithmetic progressions with arbitrary common difference.More precisely, we determine the Hausdorff dimension of the above set. 参考文献 | 相关文章 | 计量指标

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CONVERGENCE RATE OF SOLUTIONS TO STRONG CONTACT DISCONTINUITY FOR THE ONE-DIMENSIONAL COMPRESSIBLE RADIATION HYDRODYNAMICS MODEL 陈正争, 柴晓娟, 王文娟 数学物理学报(英文版). 2016 (1):  265-282.  DOI: 10.1016/S0252-9602(15)30094-1 摘要 ( 96 )   RICH HTML PDF   收藏 This paper is concerned with a singular limit for the one-dimensional compress-ible radiation hydrodynamics model. The singular limit we consider corresponds to the physical problem of letting the Bouguer number infinite while keeping the Boltzmann number constant. In the case when the corresponding Euler system admits a contact discontinuity wave, Wang and Xie(2011) [12] recently verified this singular limit and proved that the solution of the compressible radiation hydrodynamics model converges to the strong contact discontinuity wave in the L∞-norm away from the discontinuity line at a rate of ε1/4, as the reciprocal of the Bouguer number tends to zero. In this paper, Wang and Xie's convergence rate is improved to ε7/8 by introducing a new a priori assumption and some refined energy estimates. Moreover, it is shown that the radiation flux q tends to zero in the L∞-norm away from the discontinuity line, at a convergence rate as the reciprocal of the Bouguer number tends to zero. 参考文献 | 相关文章 | 计量指标

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GENERAL ALGEBROID FUNCTION AND ITS APPLICATION 孙道椿, 霍颖莹, 张晓梅 数学物理学报(英文版). 2016 (1):  283-294.  DOI: 10.1016/S0252-9602(15)30095-3 摘要 ( 94 )   RICH HTML PDF   收藏 In this paper, the authors introduce a kind of reducible algebroid functions, that is general algebroid functions and obtain two fundamental theorems of general algebroid functions. At last, as an application, we generalized a theorem of Li Guoping's. 参考文献 | 相关文章 | 计量指标

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SEVERAL UNIQUENESS THEOREMS OF ALGEBROID FUNCTIONS ON ANNULI Yang TAN 数学物理学报(英文版). 2016 (1):  295-316.  DOI: 10.1016/S0252-9602(15)30096-5 摘要 ( 137 )   RICH HTML PDF   收藏 In this paper, we discuss the uniqueness problem of algebroid functions on annuli, we get several uniqueness theorems of algebroid functions on annuli, which extend the Nevanlinna value distribution theory for algebroid functions on annuli. 参考文献 | 相关文章 | 计量指标