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On Holomorphic Automorphisms of a Class of Non-homogeneous Rigid Hypersurfaces in C^(N+1)

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Chinese Annals of mathematics,Series B 2010年第2期31卷 201-210页

作者： Qingyan WU department of mathematics,Linyi Normal university,Linyi 276005,Shandong,China department of mathematics,Zhejiang university,Hangzhou 310027,China department of mathematics Linyi Normal University Linyi 276005 Shandong China department of mathematics Zhejiang University Hangzhou 310027 China

The author determines the real-analytic infinitesimal CR automorphisms of a class of non-homogeneous rigid hypersurfaces in CN+1 near the origin,and the connected component containing the identity transformation of al... 详细信息

关键词： Real-analytic infinitesimal CR automorphisms Rigid hypersurfaces Holomorphic automorphisms

CONVERGENCE OF VORTEX WITH BOUNDARY ELEMENT METHODS

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Journal of Computational mathematics 1997年第2期15卷 127-137页

作者： P.W. Zhang(department of mathematics, Peking university) 北京大学数学系北京

In this work, the vortex methods for Euler equations with initial boundary value problem is considered, Poisson equations are solved using boundary element methods which can be seen to require less operations to compute the velocity field from the vorticity by Chorin([6]). We prove that the rate of convergence of the boundary element schemes can be independent of the vortex blob parameters.

关键词： Math CONVERGENCE OF VORTEX WITH BOUNDARY ELEMENT METHODS Zhang

Studies of mineral properties at mantle condition using Deformation multi-anvil apparatus

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Progress in Natural Science:Materials International 2009年第11期19卷 1467-1475页

作者： Li Li MPI,department of Geosciences,Stony Brook university,Stony Brook,ny 11794,usa [a]MPI Department of Geosciences Stony Brook University Stony Brook NY 11794 USA

This paper reports recent studies of the rheological and viscoelastic properties of minerals at mantle pressure and temperature using Deformation multi-anvil apparatus(D-DIA).Stress-strain-time relations were measured using synchrotron X-ray radiation to determine these *** properties of San Carlos olivine were measured at pressure up to 10 GPa and indicated that the effect of pressure on the viscosity of olivine is much smaller than previous *** unique capability of synchrotron X-ray can resolve the stress heterogeneity within a polycrystalline material as well as within a multi-phase mixture and elucidate the stress-strain distribution in an *** measurements were carried out using olivine as the sample at mantle pressure and *** results showed that grain boundary activity rather than pressure dominate the relaxation *** aim of this paper is to illustrate the methods using new tools for high pressure research.

关键词： High pressure Synchrotron X-ray Multi-anvil Plasticity Anelasticity

A HYPERBOLIC SYSTEM OF CONSERVATION LAWS FOR FLUID FLOWS THROUGH COMPLIANT AXISYMMETRIC VESSELS

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Acta Mathematica Scientia 2010年第2期30卷 391-427页

作者： Gui-Qiang G.Chen School of Mathematical Sciences,Fudan university,Shanghai 200433,China Mathematical Institute,university of Oxford,24-29 St Giles,Oxford,OX1 3LB,UK department of mathematics,Northwestern university,Evanston,IL 60208-2730,usa Weihua Ruan department of mathematics,Computer Science and Statistics,Purdue university Calumet,Hammond,IN 46323-2094,usa [a] School of Mathematical Sciences Fudan University Shanghai 200433 China [b] Mathematical Institute University of Oxford 24-29 St Giles Oxford OX1 3LB UK [c] Department of Mathematics Northwestern University Evanston IL 60208-2730 USA [d] Department of Mathematics Computer Science Statistics Purdue University Calumet Hammond IN 46323-2094 USA

We are concerned with the derivation and analysis of one-dimensional hyperbolic systems of conservation laws modelling fluid flows such as the blood flow through compliant axisyminetric vessels. Early models derived are nonconservative and/or nonho- mogeneous with measure source terms, which are endowed with infinitely many Riemann solutions for some Riemann data. In this paper, we derive a one-dimensional hyperbolic system that is conservative and homogeneous. Moreover, there exists a unique global Riemann solution for the Riemann problem for two vessels with arbitrarily large Riemann data, under a natural stability entropy criterion. The Riemann solutions may consist of four waves for some cases. The system can also be written as a 3 × 3 system for which strict hyperbolicity fails and the standing waves can be regarded as the contact discontinuities corresponding to the second family with zero eigenvalue.

关键词： conservation laws hyperbolic system fluid flow blood flow vessel hyper-bolicity Riemann problem Riemann solution wave curve shock wave rarefaction wave standing wave stability

A NONLINEAR GALERKIN METHOD WITH VARIABLEMODES FOR KURAMOTO-SIVASHINSKY EQUATION

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Journal of Computational mathematics 1999年第3期17卷 243-256页

作者： Yu-jiang wu(Depadrtment of mathematics, Shanghai university, Jiadiap Shanghai 201800, China department of mathematics, Lanzhou university, Lanzhou 750000, China) 上海大学数学系上海

This article proposes a kind of nonlinear Galerkin methods with variable modes for the long-term integration of Kuramoto-Sivashinsky equation. It consists of finding an appropriate or best number of modes in the correction of the method. Convergence results and error estimates are derived for this method. Numerical examples show also the efficiency and advantage of our method over the usual nonlinear Galerkin method and the classical Galerkin method.

关键词： Kuramoto-Sivaskinsky equation nonlinear Galerkin method approximation convergence

A POSTERIORI ERROR ESTIMATES IN ADINI FINITE ELEMENT FOR EIGENVALUE PROBLEMS

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Journal of Computational mathematics 2000年第4期18卷 413-418页

作者： Yi-du Yang (department of mathematics, Guizhou Normal university, Guiyang, 550001) 贵州师范大学贵州贵阳 550001

In this paper, we discuss a posteriori error estimates of the eigenvalue λ[sub h] given by Adini nonconforming finite element. We give an assymptotically exact error estimator of the λ[sub h]. We prove that the order of convergence of the λ[sub h] is just 2 and the converge from below for sufficiently small h. [ABSTRACT FROM AUTHOR]

关键词： eigenvalue nonconforming finite element error estimate

A GOLDSTEIN'S TYPE PROJECTION METHOD FOR A CLASSOF VARIANT VARIATIONAL INEQUALITIES

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Journal of Computational mathematics 1999年第4期17卷 425-434页

作者： Bing-sheng He(department of mathematics, Nanjing university, Nanjing 210008, China) department of mathematics Nanjing University Nanjing 210008 China

Some optimization problems in mathematical programming can be translated to a variant variational inequality of the following form: Find a vectoru*, such that This paper presents a simple iterative method for solving this class of variational inequalities. The method can be viewed as an extension of theGoldstein's projection method. Some results of preliminary numerical experiments are given to indicate its applications.

关键词： Variational inequality Goldstein projection method.

The truncated Second Main Theorem and uniqueness theorems

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Science China mathematics 2010年第3期53卷 605-616页

作者： CHEN ZhiHua 1 , RU Min 2, & YAN QiMing 1 1 department of mathematics, Tongji university, Shanghai 200092, China 2 department of mathematics, university of Houston, Houston, TX 77204, usa 1. department of mathematics Tongji University Shanghai 200092 China2. Department of Mathematics University of Houston Houston TX 77204 USA

In this paper, we first establish a truncated Second Main Theorem for algebraically nondegenerate holomorphic mappings from the complex plane into a complex projective variety V intersecting hypersurfaces. We then prove some uniqueness results for meromorphic mappings. The result of Demailly about a partial solution to the Fujita’s conjecture is used.

关键词： value distribution theory uniqueness theorem meromorphic mappings Fujita’s conjecture

THE CONVERGENCE ON A FAMILY OF ITERATIONS WITH CUBIC ORDER

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Journal of Computational mathematics 2001年第5期19卷 467-474页

作者： Dan-fu Han (department of mathematics, Zhejiang university, Hangzhou 310028, China) 浙江大学浙江杭州 310028

Establishes a convergent theorem for a family of iterations with cubic order by using general convergence hypotheses. Disadvantage of using the cubic majorizing function; Convergence of the majorizing sequence; Overvi... 详细信息

关键词： convergence majorizing method gamma-condition error estimate