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ON F-z-SUPPLEMENTED SUBGROUPS OF FINITE GROUPS

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Acta Mathematica Scientia 2011年第1期31卷 22-28页

作者：郭文彬唐娜李保军 department of mathematics University of Science and Technology of China department of mathematics Xuzhou Normal University department of mathematics Huaiyin Teachers College School of mathematics Chengdu University of Information Technology

A subgroup H of a group G is called F-z-supplemented in G if there exists a subgroup K of G, such that G = HK and H∩K≤ Z∞F（G）, where Z∞F（G） is the F-hypercenter of G. We obtain some results about the F-z-suppl... 详细信息

关键词： Finite groups local formations F-z-supplemented subgroups supersoluble groups p-nilpotent groups

Hamiltonian type Lie bialgebras

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science china mathematics 2007年第9期50卷 1267-1279页

作者： Bin XIN~(1+) Guang-ai SONG~2 Yu-cai SU~3 1 department of mathematics,Shanghai Jiao Tong university,Shanghai 200240,china 2 College of mathematics and Information science,Shandong Institute of Business and technology,Yantai 264005,china 3 department of mathematics,university of science and technology of china,hefei 230026,china department of mathematics Shanghai Jiao Tong University Shanghai China College of mathematics and Information science Shandong Institute of Business and Technology Yantai China department of mathematics University of Science and Technology of China Hefei China

We first prove that,for any generalized Hamiltonian type Lie algebra H,the first co- homology group H^1(H,H(?)H) is *** then show that all Lie bialgebra structures on H are triangular.

关键词： Lie bialgebra Yang-Baxter equation Hamiltonian Lie algebra 17B62 17B05 17B37 17B66

Dual Gabriel theorem with applications

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science china mathematics 2006年第1期49卷 9-26页

作者： CHEN Xiaowu, HUANG Hualin & ZHANG Pu department of mathematics, university of science and technology of china, hefei 230026, china USTC Shanghai Institute for Advanced Studies, Shanghai 201315, china Mathematical Section, the Abdus Salam ICTP, Strada Costiera 11, Trieste 34014, Italy department of mathematics, Shanghai Jiao Tong university, Shanghai 200030, china department of mathematics University of Science and Technology of China Hefei China USTC Shanghai Institute for Advanced Studies Shanghai China Mathematical Section the Abdus Salam ICTP Trieste Italy department of mathematics Shanghai Jiao Tong University Shanghai China

We introduce the quiver of a bicomodule over a cosemisimple coalgebra. Applying this to the coradical C0 of an arbitrary coalgebra C, we give an alternative definition of the Gabriel quiver of C, and then show that it coincides with the known Ext quiver of C and the link quiver of C. The dual Gabriel theorem for a coalgebra with a separable coradical is obtained, which generalizes the corresponding result for a pointed coalgebra. We also give a new description of C1 = C0 ∧C C0 of any coalgebra C, which can be regarded as a generalization of the first part of the well-known Taft-Wilson Theorem for pointed coal-gebras. As applications, we give a characterization of locally finite coalgebras via their Gabriel quivers, and a property of the Gabriel quiver of a quasi-coFrobenius coalgebra.

关键词： quivers, cotensor coalgebra, quasi-coFrobenius coalgebra.

COMPOSITION OPERATORS ON THE LITTLE BLOCH SPACE IN POLYDISCS

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Acta Mathematica Scientia 2005年第4期25卷 629-638页

作者：周泽华朱敏史济怀 department of mathematics Tianjin University Tianjin 300072 China department of mathematics University of Science and Technology of China Hefei 230026 China

Let U^n be the unit polydisc of C^n and φ（φ,…,φ） a holomorphic selfmap of U^n. This paper shows that the composition operator Cφinduced by φis bounded on the little Bloch space β0＊（U^n） if and only if φ ∈β0＊（U^n） for every ι=1,2,... ,n, and also gives a sufficient and necessary condition for the composition operator Cφto be compact on the little Bloch space β0＊（U^n）.

关键词： Little Bloch space distinguished boundary composition operator Bergmanmetric

The Keldys-Fichera Obstacle Problem

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Acta Mathematica Sinica,English Series 1998年第3期14卷 371-380页

作者： Chen Zuchi Yan Xiaodong department of mathematics, university of science and technology of china, hefei 230026, china Present address: department of mathematics, university of Minnesota, USA 中国科学技术大学数学系安徽合肥

In this paper we consider a quasilinear obstacle problem with coefficients of higher growth orders and the Keldys-Fichera boundary condition.

关键词： Obstacle problem Keldys-Fichera boundary condition Pseudo-monotone operator

The multi-soliton solutions of the CH-γ equation

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science china mathematics 2008年第2期51卷 314-320页

作者： CHEN ChunLi~(1+) LI YiShen~2 ZHANG JinE~3 1 department of mathematics,Shanghai Jiaotong university,Shanghai 200240,china 2 department of mathematics,university of science and technology of china,hefei 230026,china 3 SB and SEF,university of Hong Kong,Pokfulam Road,Hong Kong,china department of mathematics Shanghai Jiaotong University Shanghai China department of mathematics University of Science and Technology of China Hefei China SB and SEF University of Hong Kong Hong Kong China

This paper solves the integrable CH-γequation for analytical multiple soliton solutions with the Darboux transformation *** properties of the soliton solutions are different from the CH equation.

关键词： CH-γ equation multi-soliton solutions Darboux transformation 35Q35 35Q51

BCKLUND TRANSFORMATION ON SURFACESWITH CONSTANT MEAN CURVATURE IN R^(2.1)

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Acta Mathematica Scientia 2003年第3期23卷 369-376页

作者：田畴周扣华田涌波 department of mathematics University of Science and Technology of ChinaHefei 230026China department of mathematics University of Science and Technology of ChinaHefei 230026China Department of MathematicsYangzhouJiangsu 225002China

In this paper, the authors obtain the Backlund transformation on time-like surfaces with constant mean curvature in R2.1. Using this transformation, families of surfaces with constant mean curvature from known ones ca... 详细信息

关键词： Backlund transformation principal curvature mean curvature

The Riemannian Manifolds with Boundary and Large Symmetry

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Chinese Annals of mathematics,Series B 2010年第3期31卷 347-360页

作者： Zhi CHEN Yiqian SHI Bin XU department of mathematics University of Science and Technology of China Hefei 230026 China. department of mathematics University of Science and Technology of China Hefei 230026 China.

Seventy years ago, Myers and Steenrod showed that the isometry group of a Riemannian manifold without boundary has a structure of Lie group. In 2007, Bagaev and Zhukova proved the same result for a Riemannian orbifold. In this paper, the authors first show that the isometry group of a Riemannian manifold M with boundary has dimension at most 1/2 dim M（dim M - 1）. Then such Riemannian manifolds with boundary that their isometry groups attain the preceding maximal dimension are completely classified.

关键词： Riemannian manifold with boundary Isometry Rotationally symmetric metric Principal orbit

NUMERICAL INVESTIGATION ON NON-NEWTONIAN FLOWS THROUGH DOUBLE CONSTRICTIONS BY AN UNSTRUCTURED FINITE VOLUME METHOD

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Journal of Hydrodynamics 2009年第5期21卷 622-632页

作者： GAO Wei LIU Ru-xun DUAN Ya-li department of mathematics University of Science and Technology of China Hefei 230026 China

This article presents a numerical investigation on a steady non-Newtonian flow through a two-dimensional channel with double constrictions. The power-law mode is employed in describing the non-Newtonian behavior of the flow. An unstructured finite volume method combined with a fractional-step projection method is developed for the discretization of incompressible equations governing the non-Newtonian flows. The important flow dynamics related with the arterial diseases, such as the wall shear stress and vortex generation, are also numerically studied in detail. Numerical results reveal that there are marked differences between Newtonian and non-Newtonian models.

关键词： double constrictions power-law fluid finite volume method unstructured grids