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AN ITERATION METHOD FOR INCOMPRESSIBLEVISCOUS/INVISCID COUPLED PROBLEM VIA A SPECTRALAPPROXIMATION

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Journal of Computational mathematics 1999年第4期17卷 379-396页

作者： Chuan-jn Xu(department of mathematics,{2., xiamen 361005, china) 厦门大学数学系福建厦门 361005

An efficient iteration-by-subdomain method (known as the Schwarz alternating algorithm) for incompressible viscous/inviscid coupled model is presented. Appropriate spectral collocation approximations are proposed. The convergence analysis show that the iterative algorithms converge with a rate independent of the polynomial degree used.

关键词： coupled equations Navier-Stokes equations Euler equations cllocation approximation Schwarz alternating algorithm

Some equalities and inequalities of g-continuous frames

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Science china mathematics 2010年第10期53卷 2621-2632页

作者： XIAO XiangChun & ZENG XiaoMing department of mathematics,{2. university,{2. 361005,china 1. department of mathematics Xiamen University Xiamen 361005 China

In this paper,we derive some equalities and inequalities about g-continuous frames,which are an extension to g-frames and continuous *** also discuss the stability of the perturbation of a g-continuous frame.

关键词： g-continuous frame Parseval g-continuous frame frame operator

Bochner-Martinelli formula with discrete holomorphic kernel

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Chinese Science Bulletin 1997年第6期42卷 447-450页

作者： LIN LiangyuInstiture of mathematics, xiamen university,{2., china Institute of mathematics Xiamen University Xiamen 361005 China

IT is well known that it is impossible to construct an integral representation of holomorphic functions with holomorphic kernel for the general bounded domain. In this note we establish a global integral formula of Bochner-Martinelli type with discrete holomorphic kernels; this formula may be applied to solving (?)-equation and singular integral equations.

关键词： Bochner-Martinelli formula bounded domain discrete kernels.

Maximal possible accretion rates for slim disks

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Science china(Physics,Mechanics & Astronomy) 2009年第12期52卷 2054-2058页

作者： LIN YiQing1 & JIAO ChengLiang2.1 department of mathematics and Physics,{2. university of Technology,{2. 36102.,china 2.department of Physics and Institute of Theoretical Physics and Astrophysics,{2. university,{2. 361005,china 1. department of mathematics and Physics Xiamen University of Technology Xiamen 361024 China 2. department of Physics and Institute of Theoretical Physics and Astrophysics Xiamen University Xiamen 361005 China

It was proved in the previous work that there must be a maximal possible accretion rate $ \dot M_{max} $ for a slim disk. Here we discuss how the value of $ \dot M_{max} $ depends on the two fundamental parameters of the disk, namely the mass of the central black hole M and the viscosity parameter α. It is shown that $ \dot M_{max} $ increases with decreasing α, but is almost independent of M if $ \dot M_{max} $ is measured by the Eddington accretion rate $ \dot M_{Edd} $ , which is in turn proportional to M.

关键词： accretion disks black hole physics hydrodynamics

Horizontal ∂-Laplacian on complex Finsler manifolds

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Science china mathematics 2005年第z1期48卷 377-391页

作者： ZHONG Chunping & ZHONG Tongde School of mathematics Science, xiamen university,{2., china School of mathematics Science Xiamen University Xiamen 361005 China

A horizontal (?)-Laplacian is defined on strongly pseudoconvex complex Finsler manifolds, first for functions and then for horizontal differential forms of type (p,q). The principal part of the (?)-Laplacian is computed in local coordinates. As an application, the (?)-Laplacian on strongly Kahler Finsler manifold is obtained explicitly in terms of the horizontal covariant derivatives of the Chern-Finsler conncetion.

关键词： complex Finsler manifold Kahler Finsler manifold ■-Laplacian horizontal.

Reduced-glutathione concentrations in Boleophthalmus pectinirostris tissues exposed to benzo(a)pyrene

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Journal of Environmental Sciences 2001年第3期13卷 308-310页

作者： FENG Tao 1, ZHENG Wei yun 1, GUO Xiang\|qun\+2. ZHANG Yong\+1(1.Environmental Science Research Center, xiamen university, xiamen 361005,{2. 2.Chemistry department, xiamen university, xiamen\ 361005,{2.) Environmental Science Research Center Xiamen University Xiamen 361005 China.

The concentrations of reduced-glutathione ( GSH) in liver and ovary of Boleophthalmus pectinirostris are quantified. The concentrations of GSH in the ovary are much higher than that of GSH in the liver(nearly 3 times of the liver). The study also investigates the changes of GSH contents in the two organs while the fishes were exposed to benzo(a)pyrene(BaP) at concentrations of 0, 0.05, 0.2.and 0.5 mg/L respectively for up to a week. The concentrations of GSH in the liver of BaP-exposed fish increased significantly with dose, whereas the concentrations of GSH in the ovary decreased significantly compared to controls. The results suggested that both the liver and the ovary are the primary organ in BaP metabolism, and that the changes of GSH levels may represent an adaptive response or toxic effect to Bap exposure.

关键词： Boleophthalmus pectinirostris benzo(a)pyrene reduced-glutathione

An initial note on quasi- stationary, cold-core Lanyu eddies southeast off Taiwan Island

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Chinese Science Bulletin 2003年第19期48卷 2101-2107页

作者： JING Chunsheng1,2.& LI Li1 1. Third Institute of Oceanography, State Oceanic Administration, xiamen 361005, china 2. {2. of Oceanography, xiamen university, xiamen 361005, china Third Institute of Oceanography State Oceanic Administration Xiamen China department of Oceanography Xiamen University Xiamen China

Drifting buoys, satellite altimetry and satellite-derived sea surface thermal images are used to identify the existence of a large cold-core, cyclonic Kuroshio frontal eddy between Hengchun Peninsula and Lanyu, southeast off Taiwan Island around March 1996. The cold eddy accompanies an offshore meander of the Kuroshio near Lanyu, about 70 km and 100 km in horizontal zonal and meridional scales, respectively. The cold eddy is different from normal Kuroshio frontal eddies for its persisting of about 2.months near Lanyu. Supporting evidence suggests that the Kuroshio intruded into the South china Sea (SCS, hereafter) forming a loop-like structure during the persisting period of the cold eddy and that similar eddies occur occasionally in the same location. Compared with the corresponding studies in the Gulf of Mexico, it is suggested that Lanyu cold eddies are SCS analogues of Tortugas eddies found in the southern Straits of Florida. Overshooting of the meandering Kuroshio when it leaves the SCS and effects from conservation of potential vorticity are the possible mechanism of eddy genesis.

关键词：台湾省黑潮暖流涡流寒潮飓风

KAMENEV-TYPE OSCILLATION CRITERIA FOR DELAY DIFFERENCE EQUATIONS

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Acta Mathematica Scientia 2007年第3期27卷 574-580页

作者：程金发 department of mathematics Xiamen University

Some oscillation criteria are established by Raccati transformation techniques for the following second-order nonlinear neutral difference equation △（pn（△（Xn ＋ CnXn-τ））^γ）＋ qnX^Bn-σ = 0, n ：0, 1, 2...wh... 详细信息

关键词： Oscillation superlinear sublinear difference equations

Uniqueness and stability of solution for Cauchy problem of degenerate quasilinear parabolic equations

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Science china mathematics 2005年第5期48卷 583-593页

作者： ZHAO Junning & ZHAN Huashui department of mathematics,{2., xiamen 361005, china School of Science, Jimei university, xiamen 361000, china 1. department of mathematics Xiamen University 361005 Xiamen China 2. School of Science Jimei University 361000 Xiamen China

The uniqueness and existence of BV-solutions for Cauchy problem of the form are proved.

关键词： Cauchy problem degenerate parabolic equation uniqueness of solution.