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  • Homotopy Analysis Method for Solving (2+1)-dimensional Navier-Stokes Equations with Perturbation Terms

    Ji Juan-juan;Zhang Lan-fang;

    In this paper Homotopy Analysis Method(HAM) is implemented for obtaining approximate solutions of(2+1)-dimensional Navier-Stokes equations with perturbation terms. The initial approximations are obtained using linear systems of the Navier-Stokes equations; by the iterations formula of HAM, the first approximation solutions and the second approximation solutions are successively obtained and Homotopy Perturbation Method(HPM) is also used to solve these equations; finally,approximate solutions by HAM of(2+1)-dimensional Navier-Stokes equations without perturbation terms and with perturbation terms are compared. Because of the freedom of choice the auxiliary parameter of HAM, the results demonstrate that the rapid convergence and the high accuracy of the HAM in solving Navier-Stokes equations; due to the effects of perturbation terms, the 3 rd-order approximation solutions by HAM and HPM have great fluctuation.

    2018年01期 1-14页 [查看摘要][在线阅读][下载 929K]
  • Growth of Solutions of Some Linear Difference Equations with Meromorphic Coefficients

    Tu Hong-qiang;Liu Hui-fang;

    In this paper, we investigate the properties of solutions of some linear difference equations with meromorphic coefficients, and obtain some estimates on growth and value distribution of these meromorphic solutions.

    2018年01期 15-22页 [查看摘要][在线阅读][下载 150K]
  • Extensions of Modules with ACC on d-annihilators

    Ouyang Lun-qun;Zhou Qiong;Liu Jin-wang;Xiang Yue-ming;

    A unitary right R-module MR satisfies acc on d-annihilators if for every sequence(a_n)_n of elements of R the ascending chain AnnM(a_1)■ AnnM(a_1 a_2)■AnnM(a_1 a_2 a_3)■… of submodules of MR stabilizes. In this paper we first investigate some triangular matrix extensions of modules with acc on d-annihilators. Then we show that under some additional conditions,the Ore extension module M[x]R[x;α,δ]over the Ore extension ring R[x;α,δ] satisfies acc on d-annihilators if and only if the module MR satisfies acc on d-annihilators. Consequently, several known results regarding modules with acc on d-annihilators are extended to a more general setting.

    2018年01期 23-35页 [查看摘要][在线阅读][下载 179K]
  • Reversible Properties of Monoid Crossed Products

    Yin Yue;Zhao Liang;Gu Qin-qin;

    We study the reversible properties of monoid crossed products. The new class of strongly CM-reversible rings is introduced and characterized. This class of rings is a generalization of those of strongly reversible rings, skew strongly reversible rings and strongly M-reversible rings. Some well-known results on this subject are generalized and extended.

    2018年01期 36-46页 [查看摘要][在线阅读][下载 166K]
  • One Parameter Deformation of Symmetric Toda Lattice Hierarchy

    Xiong Zhen;

    In this paper, we study one parameter deformation of full symmetric Toda hierarchy. This deformation is induced by Hom-Lie algebras, or is the applications of Hom-Lie algebras. We mainly consider three kinds of deformation, and give solutions to deformations respectively under some conditions.

    2018年01期 47-53页 [查看摘要][在线阅读][下载 150K]
  • On Lie 2-bialgebras

    Qiao Yu;Zhao Jia;

    A Lie 2-bialgebra is a Lie 2-algebra equipped with a compatible Lie 2-coalgebra structure. In this paper, we give another equivalent description for Lie2-bialgebras by using the structure maps and compatibility conditions. We can use this method to check whether a 2-term direct sum of vector spaces is a Lie 2-bialgebra easily.

    2018年01期 54-64页 [查看摘要][在线阅读][下载 168K]
  • On the Coefficients of Several Classes of Bi-univalent Functions Defined by Convolution

    Guo Dong;Li Zong-tao;

    In this paper, we introduce several new subclasses of the function class Σ of bi-univalent functions analytic in the open unit disc defined by convolution.Furthermore, we investigate the bounds of the coefficients |a2| and |a3| for functions in these new subclasses. The results presented in this paper improve or generalize the recent works of other authors.

    2018年01期 65-76页 [查看摘要][在线阅读][下载 169K]
  • Unique Common Fixed Points for Two Weakly C~*-contractive Mappings on Partially Ordered 2-metric Spaces

    Piao Yong-jie;

    In this paper, we give existence theorems of common fixed points for two mappings with a weakly C*-contractive condition on partially ordered 2-metric spaces and give a sufficient condition under which there exists a unique common fixed point.

    2018年01期 77-88页 [查看摘要][在线阅读][下载 165K]
  • The Mod 2 Kauffman Bracket Skein Module of Thickened Torus

    Yan Xin-ming;Sun Meng;

    Framed links in thickened torus are studied. We define the mod 2 Kauffman bracket skein module of thickened torus and give an expression of a framed link in this module. From this expression we propose a new ambient isotopic invariant of framed links.

    2018年01期 89-96页 [查看摘要][在线阅读][下载 192K]
  • Communications in Mathematical Research Aims and Scope

    <正>Communications in Mathematical Research(CMR)is a comprehensive mathematical journal carrying original papers on pure and applied mathematics.It was launched in September,1985.The journal is formerly Northeastern Mathematical Journal(NMJ),and

    2018年01期 97页 [查看摘要][在线阅读][下载 463K]
  • Instructions to Contributors

    <正>1.Papers to be published in CMR are required to be written in English.2.Manuscripts submitted to CMR are expected to be clear in exposition,valid in argument,concise in wording,and reliable in data.They should be submitted electronically along with the LaTex format and pdf files.3.A manuscript should begin with the title of the article,the authors name,and the

    2018年01期 97页 [查看摘要][在线阅读][下载 463K]
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