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Construct non-graded bi-Frobenius algebras via quivers

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Science china mathematics 2007年第3期50卷 450-456页

作者： Yan-hua WANG & Xiao-wu CHEN department of applied mathematics, Shanghai university of Finance and Economics, Shanghai 200433, china department of mathematics, university of Science and technology of china, Hefei 230026, china department of applied mathematics Shanghai University of Finance and Economics Shanghai China department of mathematics University of Science and Technology of China Hefei China

Using the quiver technique we construct a class of non-graded bi-Frobenius algebras. We also classify a class of graded bi-Frobenius algebras via certain equations of structure coefficients.

关键词： quivers bi-Frobenius algebras graded algebras 16W30 16G20

TYPE X MONOTONE SYSTEMS WITH AN ORDER-INCREASING INVARIANT FUNCTION

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Chinese Annals of mathematics,Series B 1996年第3期17卷 335-342页

作者： JIANG JIFA(department of mathematics, The university of Science and technology of china, Hefei 230036, china.) department of mathematics University of Science and Technology of China Hefei 230036 China

The author considers the asymptotic behavior of solutions of a class of ordinary dmerentialequations x = F(x) in the nonnegative orthant R7. Suppose that F(o) = o, Fi(x1,..., xn) isnondecreasing in xk for all k≠ i and that F possesses an order-increasing invarian *** it is shown that every bounded solution to such a system converges to a single equilibrium.

关键词： Type K monotone system Monotone flow Invariant function Equilibrium Convergence

The Laplacian spectral radii of unicyclic and bicyclic graphs with n vertices and k pendant vertices

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Science china mathematics 2010年第8期53卷 2135-2142页

作者： GUO JiMing department of applied mathematics,china university of Petroleum,Dongying 257061,china department of applied mathematics China University of Petroleum Dongying China

In this paper,we determine graphs with the largest Laplacian spectral radius among the unicyclic and the bicyclic graphs on n vertices with k pendant vertices,respectively.

关键词： Laplacian matrix Laplacian spectral radius unicyclic graph bicyclic graph

New Complexiton Solutions of (2+1)-Dimensional Nizhnik-Novikov-Veselov Equations

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Communications in Theoretical Physics 2006年第9期46卷 407-414页

作者： ZHANG Yuan-Yuan,~+ ZHENG Ying, ZHANG Hong-Qing department of applied mathematics, Dalian university of technology, Dalian 116024, china department of applied mathematics Dalian University of Technology Dalian 116024 China

In this paper, we extend the multiple Riccati equations rational expansion method by introducing a new ansatz. Using this method, many complexiton solutions of the (2+1)-dimensional Nizhnik-Novikov-Veselov equations are obtained which include various combination of hyperbolic and trigonometric periodic function solutions, various combination of hyperbolic and rational function solutions, various combination of trigonometric periodic and rational function solutions, etc. The method can be also used to solve other nonlinear partial differential equations.

关键词： rational expansion method (2+1)-dimensional Nizhnik Novikov-Veselov equations complexiton solutions

Minimal symmetric submanifolds in compact Riemannian symmetric spaces

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Chinese Science Bulletin 1998年第21期43卷 1786-1789页

作者： LIANG Ke 1 and JIN Quanqin 1,2 1. department of mathematics, Nankai university, tianjin 300071, china 2. department of mathematics, hebei university, Baoding 071002, china department of mathematics Nankai University Tianjin China department of mathematics Hebei University Baoding China

A necessary and sufficient condition for a symmetric submanifold to be minimal in its ambient compact Riemannian symmetric space is given. By this condition a complete classification of non- minimal symmetric submanif... 详细信息

关键词： symmetric space symmetric submanifold mean curvature vector.

The mechanism of breakdown in laminar-turbulent transition of a supersonic boundary layer on a flat plate-temporal mode

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Science china(Physics,Mechanics & Astronomy) 2005年第5期48卷 614-625页

作者： HUANG Zhangfeng 1, CAO Wei 1,2 & ZHOU Heng 1,2 1. department of Mechanics, tianjin university, tianjin 300072, china 2. Liu-Hui Center of applied mathematics, Nankai university and tianjin university, tianjin 300072, china department of Mechanics Tianjin University Tianjin China Liu-Hui Center of applied mathematics Nankai University and Tianjin University Tianjin China

Temporal mode direction numerical simulation has been done for the transition of a supersonic boundary layer on a flat plate with Mach number 4.5. Analysis of the result showed that during the breakdown process in laminar-turbulent transition, the mechanism causing the mean flow profile to evolve swiftly from laminar to turbulent was that the modification of mean flow profile by the disturbances,when they became larger,led to a remarkable change of its stability characteristics. Though the most unstable T-S wave was of second mode for laminar flow, the first mode waves played the key role in the breakdown process in laminar-turbulent transition.

关键词： supersonic boundary layer, transition, breakdown.

Lie bialgebras of generalized Witt type

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Science china mathematics 2006年第4期49卷 533-544页

作者： SONG Guang’ai & SU Yucai College of mathematics and Information Science, Shandong Institute of Business and technology, Yantai 264005, china department of mathematics, university of Science and technology of china, Hefei 230026, china department of mathematics, Shanghai Jiaotong university, Shanghai 200240, china College of mathematics and Information Science Shandong Institute of Business and Technology Yantai China department of mathematics Shanghai Jiaotong University Shanghai China department of mathematics University of Science and Technology of China Hefei China

In this paper, all Lie bialgebra structures on the Lie algebras of generalized Witt type are considered. It is proved that, for any Lie algebra W of generalized Witt type, all Lie bialgebras on W are the coboundary triangular Lie bialgebras. As a by-product, it is also proved that the first cohomology group H1(W, W(?)W) is trivial.

关键词： Lie bialgebras, Yang-Baxter equation, Lie algebra of generalized Witt type.

A NUMERICAL METHOD FOR DETERMINING THE OPTIMAL EXERCISE PRICE TO AMERICAN OPTIONS

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Journal of Computational mathematics 2003年第3期21卷 305-310页

作者： Xiong-hua Wu Xiu-juan Feng (department of applied mathematics, Tongji university, Shanghai 200092, china ) department of applied mathematics Tongji University 上海 800092

American options can be exercised prior to the date of expiration, the valuation of American options then constitutes a free boundary value problem. How to determine the free boundary, i.e. the optimal exercise price, is a key problem. In this paper, a nonlinear equation is given. The free boundary can be obtained by solving the nonlinear equation and the numerical results are better.

关键词： American options Free boundary Optimal exercise price Nonlinear equation.

Immortal solution of the Ricci flow

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Science china mathematics 2005年第Z1期48卷 217-224页

作者： RUAN Qihua & CHEN Zhihua department of applied mathematics, Tongji university, Shanghai 200092, china department of mathematics, Putian College, Putian 351100, china department of applied mathematics Tongji University Shanghai China department of mathematics Putian College Putian China

For any complete noncompact Kahler manifold with nonnegative and bounded holomorphic bisectional curvature, we provide the necessary and sufficient condition for the immortal solution to the Ricci flow.

关键词： Ricci flow, immortal solution, holomorphic bisectional curvature.