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  • SOME STABILITY RESULTS FOR TIMOSHENKO SYSTEMS WITH COOPERATIVE FRICTIONAL AND INFINITE-MEMORY DAMPINGS IN THE DISPLACEMENT 免费阅读 下载全文
  • 在这份报纸,我们与补足的摩擦抑制并且无限的存储器对横过的排水量起作用在一个维的围住的域考虑 Timoshenko 类型的一个颤动的系统。我们证明这二互补控制产生的驱散在相等速度的繁殖的情况下以及在相反的盒子中保证系统的稳定性。我们在每种情况中建立答案的一般腐烂估计。当波浪繁殖速度是不同的,摩擦抑制是线性的时,在特别盒子中,我们给在起始的数据的光滑和解决方案的腐烂率之间的一种关系。在纸底,我们讨论一些应用到另外的 Timoshenko 类型系统。
  • STABILITY OF VISCOUS SHOCK WAVES FOR THE ONE-DIMENSIONAL COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH DENSITY-DEPENDENT VISCOSITY 免费阅读 下载全文
  • We study the large-time behavior toward viscous shock waves to the Cauchy problem of the one-dimensional compressible isentropic Navier-Stokes equations with densitydependent 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.
  • STABILITY ANALYSIS OF A COMPUTER VIRUS PROPAGATION MODEL WITH ANTIDOTE IN VULNERABLE SYSTEM 免费阅读 下载全文
  • 我们学习在脆弱的系统与解毒药在网络描述计算机病毒的繁殖的一个建议模型。数学分析证明计算机病毒的传播的动力学被阀值 R 0 决定。如果 R 0≤ 1,没有病毒的平衡是全球性 asymptotically 稳定,并且如果 R 0> 1,地方性的平衡是全球性 asymptotically 稳定。Lyapunov 功能的方法以及几何途径被用于证明 equilibria 的全球稳定性。数字调查被执行证实分析结果。通过参数分析,为消除病毒的一些有效策略被建议。
  • STABILITY OF A PREDATOR-PREY SYSTEM WITH PREY TAXIS IN A GENERAL CLASS OF FUNCTIONAL RESPONSES 免费阅读 下载全文
  • 在这份报纸,有一般功能的回答和猎物策略敏感的一个散开的食肉动物猎物系统被学习。提供如此的概论,我们构造 Lyapunov 功能,我们证明积极经常的稳定的状态是局部地并且全球性 asymptotically 稳定。与生物解释上的一只眼睛,数字模拟被执行说明分析调查结果的可行性。
  • NONSMOOTH CRITICAL POINT THEOREMS AND ITS APPLICATIONS TO QUASILINEAR SCHRODINGER EQUATIONS 免费阅读 下载全文
  • 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 Schr¨odinger equations with negative parameter which arose from the study of self-channeling of high-power ultrashort laser in matter.
  • NORMAL FAMILIES OF MEROMORPHIC FUNCTIONS WITH SHARED VALUES 免费阅读 下载全文
  • We obtain some normality criteria of families of meromorphic functions sharing values related to Hayman conjecture, which improves some earlier related results.更多还原
  • EDELSTEIN-SUZUKI-TYPE RESULTS FOR SELF-MAPPINGS IN VARIOUS ABSTRACT SPACES WITH APPLICATION TO FUNCTIONAL EQUATIONS 免费阅读 下载全文
  • FREE BOUNDARY VALUE PROBLEM FOR THE CYLINDRICALLY SYMMETRIC COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH DENSITY-DEPENDENT VISCOSITY 免费阅读 下载全文
  • In this paper, we investigate the free boundary value problem(FBVP) for the cylindrically symmetric isentropic compressible Navier-Stokes equations(CNS) with densitydependent 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.
  • CONVERGENCE OF THE CRANK-NICOLSON/NEWTON SCHEME FOR NONLINEAR PARABOLIC PROBLEM 免费阅读 下载全文
  • In this paper, the Crank-Nicolson/Newton scheme for solving numerically secondorder 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 CrankNicolson/Newton scheme of nonlinear parabolic problem. Finally, numerical experiments are presented to show the efficient performance of the proposed scheme.更多还原
  • HURWITZ-HODGE INTEGRAL IDENTITIES FROM THE ORBIFOLD MARINO-VAFA FORMULA 免费阅读 下载全文
  • 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 〈τbLλgλ1g 〉a.
  • ZERO DISSIPATION LIMIT TO CONTACT DISCONTINUITY FOR THE COMPRESSIBLE NAVIER-STOKES SYSTEM OF GENERAL GAS 免费阅读 下载全文
  • 到为一个维的可压缩的海军司烧方程的接触断绝的零驱散限制最近为理想的多花采蜜的气体被证明(看见黄等。[15, 22 ] 并且妈[31 ]) ,但是包括理想的多花采蜜的气体的一般气体有很少结果。如果,我们证明那一般气体的相应 Euler 系统的答案令人满意(1.4 ) 是与接触断绝经常的 piecewise,那么在那里存在当热传导性系数趋于到零,以 14 的率收敛到 inviscid 答案的海军司烧方程的光滑的答案。钥匙是构造一粘滞对我们的证明合适的一般气体的接触波浪(看见节 2 ) 。注意到我们没有需要限制接触断绝的力量小。
  • KERNEL WORDS AND GAP SEQUENCE OF THE TRIBONACCI SEQUENCE 免费阅读 下载全文
  • In this paper, we investigate the factor properties and gap sequence of the Tribonacci sequence, the fixed point of the substitution σ(a, b, c) =(ab, ac, a). Let ωpbe the p-th occurrence of ω and Gp(ω) be the gap between ωpand 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≥1is the Tribonacci sequence over the alphabet{G1(ω), G2(ω), G4(ω)}, and the expressions of gaps are determined completely. As an application, 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.
  • ON GROWTH OF MEROMORPHIC SOLUTIONS OF NONLINEAR DIFFERENCE EQUATIONS AND TWO CONJECTURES OF C.C. YANG 免费阅读 下载全文
  • In this paper, we investigate the growth of the meromorphic solutions of the following nonlinear difference equationsf(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.
  • SZEGO KERNEL FOR HARDY SPACE OF MATRIX FUNCTIONS 免费阅读 下载全文
  • By the characterization of the matrix Hilbert transform in the Hermitian Clifford analysis, we introduce the matrix Szeg¨o 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 Szeg projection operator with the Hardy projection operator onto the Hardy space, and get the matrix Szeg projection operator in terms of the Hardy projection operator and its adjoint. Furthermore,we construct the explicit matrix Szeg¨o kernel function for the Hardy space on the sphere as an example, and get the solution to a boundary value problem for matrix functions.
  • ON WEAK FILTER CONVERGENCE AND THE RADON-RIESZ TYPE THEOREM 免费阅读 下载全文
  • The author shows a characterization of a(unbounded) weakly filter convergent sequence which is parallel to that every weakly null sequence(x_n) in a Banach space admits a norm null sequence(y_n) with y_n∈ co(x_k)_k≥n for all n ∈ N. A version of the Radon-Riesz type theorem is also proved within the frame of the filter convergence.
  • BLOW-UP OF CLASSICAL SOLUTIONS TO THE COMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS WITH VACUUM 免费阅读 下载全文
  • 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.
  • EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS FOR GRADIENT SYSTEMS IN FINITE DIMENSIONAL SPACES 免费阅读 下载全文
  • 这份报纸处理坡度关于一个可变度量标准在被拿的一个抽象周期的坡度系统。我们经由一条全球反的定理的申请获得存在和唯一结果。
  • SECONDARY CRITICAL EXPONENT AND LIFE SPAN FOR A DOUBLY SINGULAR PARABOLIC EQUATION WITH A WEIGHTED SOURCE 免费阅读 下载全文
  • This paper deals with the Cauchy problem for a doubly singular parabolic equation with a weighted source■where N ≥ 1, 1 < p < 2, m > max{0, 3- p-p/N} satisfying 2 < p + m < 3, q > 1, andα > 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.更多还原
  • ON POINTS CONTAIN ARITHMETIC PROGRESSIONS IN THEIR LUROTH EXPANSION 免费阅读 下载全文
  • For any x ∈(0, 1](except at most countably many points), there exists a unique sequence {dn(x)}n≥1of integers, called the digit sequence of x, such that ■.The dexter infinite series expansion is called the L¨uroth expansion of x. This paper is concerned with the size of the set of points x whose digit sequence in its L¨uroth 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.
  • CONVERGENCE RATE OF SOLUTIONS TO STRONG CONTACT DISCONTINUITY FOR THE ONE-DIMENSIONAL COMPRESSIBLE RADIATION HYDRODYNAMICS MODEL 免费阅读 下载全文
  • This paper is concerned with a singular limit for the one-dimensional compressible 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 ε14, 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.
  • GENERAL ALGEBROID FUNCTION AND ITS APPLICATION 免费阅读 下载全文
  • 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.
  • SEVERAL UNIQUENESS THEOREMS OF ALGEBROID FUNCTIONS ON ANNULI 免费阅读 下载全文
  • 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.
  • SOME STABILITY RESULTS FOR TIMOSHENKO SYSTEMS WITH COOPERATIVE FRICTIONAL AND INFINITE-MEMORY DAMPINGS IN THE DISPLACEMENT(Aissa GUESMIA[1,2];Salim MESSA O UDI)
    STABILITY OF VISCOUS SHOCK WAVES FOR THE ONE-DIMENSIONAL COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH DENSITY-DEPENDENT VISCOSITY(何躏;唐少君;王涛)
    STABILITY ANALYSIS OF A COMPUTER VIRUS PROPAGATION MODEL WITH ANTIDOTE IN VULNERABLE SYSTEM(Nguyen Huu KHANH;Nguyen BichHUY)
    STABILITY OF A PREDATOR-PREY SYSTEM WITH PREY TAXIS IN A GENERAL CLASS OF FUNCTIONAL RESPONSES(M. YOUSEFNEZHAD;S.A. MOHAMMAD)
    NONSMOOTH CRITICAL POINT THEOREMS AND ITS APPLICATIONS TO QUASILINEAR SCHRODINGER EQUATIONS(李周欣;沈尧天)
    NORMAL FAMILIES OF MEROMORPHIC FUNCTIONS WITH SHARED VALUES(陈玮;田宏根;扈培础)
    EDELSTEIN-SUZUKI-TYPE RESULTS FOR SELF-MAPPINGS IN VARIOUS ABSTRACT SPACES WITH APPLICATION TO FUNCTIONAL EQUATIONS(Stojan RADENOVIC;Peyman SALIMI;Calogero VETRO;Tatjana DOSENO VIC)
    FREE BOUNDARY VALUE PROBLEM FOR THE CYLINDRICALLY SYMMETRIC COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH DENSITY-DEPENDENT VISCOSITY(连汝续[1,2];刘健)
    CONVERGENCE OF THE CRANK-NICOLSON/NEWTON SCHEME FOR NONLINEAR PARABOLIC PROBLEM(冯新龙;何银年)
    HURWITZ-HODGE INTEGRAL IDENTITIES FROM THE ORBIFOLD MARINO-VAFA FORMULA(赵晨)
    ZERO DISSIPATION LIMIT TO CONTACT DISCONTINUITY FOR THE COMPRESSIBLE NAVIER-STOKES SYSTEM OF GENERAL GAS(Hakho HONG)
    KERNEL WORDS AND GAP SEQUENCE OF THE TRIBONACCI SEQUENCE(黄煜可;文志英)
    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)
    SZEGO KERNEL FOR HARDY SPACE OF MATRIX FUNCTIONS(贺福利;库敏;Uwe KAHLER)
    ON WEAK FILTER CONVERGENCE AND THE RADON-RIESZ TYPE THEOREM(鲍玲鑫)
    BLOW-UP OF CLASSICAL SOLUTIONS TO THE COMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS WITH VACUUM(朱圣国[1,2])
    EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS FOR GRADIENT SYSTEMS IN FINITE DIMENSIONAL SPACES(Sahbi BOUSSANDEL)
    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)
    ON POINTS CONTAIN ARITHMETIC PROGRESSIONS IN THEIR LUROTH EXPANSION(张振亮[1,2];曹春云)
    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)
    GENERAL ALGEBROID FUNCTION AND ITS APPLICATION(孙道椿;霍颖莹;张晓梅)
    SEVERAL UNIQUENESS THEOREMS OF ALGEBROID FUNCTIONS ON ANNULI(谭洋)
    《数学物理学报:B辑英文版》封面

    主办单位:中科院武汉物理与数学研究所

    社  长:张玉平

    主  编:吴文俊

    地  址:武汉71010信箱

    邮政编码:430071

    电  话:027-87199206

    电子邮件:actams@wipm.ac.cn

    国际标准刊号:issn 0252-9602

    国内统一刊号:cn 42-1227/o

    邮发代号:38-215

    单  价:70.00

    定  价:420.00


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