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Poisson Morphisms and Reduced Affine Poisson Group Actions

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Acta Mathematica Sinica,English Series 2002年第2期18卷 301-310页

作者： YANG Qi Lin Institue of mathematics.academy of mathematics and system sciences.chinese academy of sciences,beijing 100080,P.R.china E-mail:qlyang@*** Institue of mathematics Academy of Mathematics and System Sciences Chinese Academy of Sciences Beijing P. R. China

We,establish the concept of a quotient affine Poisson group,and study the reduced Poisson action of the quotient of an affine Poisson group G on the quotient of an affine Poisson G-variety *** Poisson morphisms(includ... 详细信息

关键词： Poisson affine varieties Affine Poissou groups Poisson morphisms

Lattice Boltzmann model for the perfect gas flows with near-vacuum region

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Communications in Nonlinear Science and Numerical Simulation 2000年第2期5卷 58-63页

作者： Guangwu YAN and Li YUAN (LSEC, Institute of Computational mathematics, academy of mathematics and system sciences,chinese academy of sciences, beijing 100080, china Department of Mathermatics, Jilin University, Changchun 130023, china) LSEC Institute of Computational Mathematics Academy of Mathematics and System Sciences Chinese Academy of Sciences Beijing 100080 China Department of mathematics Jilin University Changchun 130023 China

It is known that the standard lattice Boltzmann method has near-vacuum limit,i. e., when the density is near zero, this method is invalid. In this letter, we propose a shople lattice Boltzmann model for one-dimensional fiows. It possesses the ability of simulating near vacuum area by setting a limitation of the relaxation factor. Thus, the model overcomes the disadvantage of non-physical pressure and the density. The numerical examples show these results are satisfactory.

关键词： lattice Boltzmann method perfect gas near-vacuum region Roe’s tests

Study on the generator f of the operators I_n and I_t

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Science china mathematics 2010年第10期53卷 2589-2603页

作者： CHEN HanLin academy of mathematics and systems Science,chinese academy of sciences,beijing 100190,china academy of mathematics and systems Science Chinese Academy of Sciences Beijing China

Define two operators In and It,the inner product operator In(g)(x) := j∈Zs(g,f(·-j))f(x-j) and the interpolation operator It(g)(x) := j∈Zs g(j)f(x-j),where f belongs to some space and integer s *** call f the generator of the operators In and *** is well known that there are many results on operators In and *** there remain some important problems to be further *** application we first need to find the available generators (that can recover polynomials as It(p) = p or In(p) = p,p ∈Πm-1) for constructing the relative *** this paper,we focus on the available generator in the class of spline *** shall see that not all spline functions can be used to construct available ***,we do find a spline function in S,of degree m-1,where m is even and S is a class of *** for odd m the problem is still *** on spline functions in this paper are new.

关键词： generator available generator inner product operator spline interpolation operator two-closed refinable

Mean Convergence of Lagrange Type Interpolation on an Arbitrary system of Nodes

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Acta Mathematicae Applicatae Sinica 2002年第2期18卷 277-288页

作者： Ying-guang ShiDepartment of mathematics, Hunan Normal University, Changsha 410081, china & academy of mathematics and system sciences, chinese academy of sciences, beijing 100080, china Department of mathematics Hunan Normal University Changsha 410081 China academy of mathematics and system sciences Chinese Academy of Sciences Beijing 100080 China

Sufficient conditions of convergence and rate of convergence for Lagrange type interpolation in the weighted Lp norm on an arbitrary system of nodes are given.

关键词： Lagrange type interpolation convergence rate of convergence

Wandering domains in the transcendental dynamics

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chinese Science Bulletin 2001年第1期46卷 34-35页

作者： WANG YuefeiInstitute of mathematics, chinese academy of sciences, beijing 100080, china Institute of mathematics Chinese Academy of Sciences Beijing China

It is shown that new classes of non-critically finite entire functions do not have wandering domains.

关键词： iteration Fatou set Julia set wandering domains.

Lattice Boltzmann solver of Rossler equation

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Communications in Nonlinear Science and Numerical Simulation 2000年第2期5卷 64-68页

作者： Guangwu YAN and Li RUAN (LSEC Institute of Computational mathematics, academy of mathematics and system sciences, chinese academy of sciences, beijing 100080, china Department of mathematics, Jilin University, Changchun 130023, china) LSEC Institute of Computational Mathematics Academy of Mathematics and System Sciences Chinese Academy of Sciences Beijing 100080 China Department of mathematics Jilin University Changchun 130023 China

We proposed a lattice Boltzmann model for the Rossler equation. Using a method of multiscales in the lattice Boltzmann model, we get the ditheion reaction as a special case. If the diffusion effect disappeared, we can obtain the lattice Boltzmann solution of the Rossler equation on the mesescopic scale. The numericale results show the method can be used to simulate Rossler equation.

关键词： lattice Boltzmann method multiscale technique Rossler equation

A global solution of the Ein-stein-Yang-Mills equation on the conformal space

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chinese Science Bulletin 2001年第6期46卷 460-461页

作者： LU QikengInstitute of mathematics, chinese academy of sciences, beijing 100080, china Institute of mathematics Chinese Academy of Sciences Beijing China

A global solution of the Einstein-Yang-Mills (EYM) equation on the conformal space is constructed. This solution is conformal invariant under the conformal group.

关键词： Einstein-Yang-Mills equation $12(2)-connection confor- mal space.

On factorizable solution of the differential equation(f')~2-a_0(z)(f-a)1(z))~2f

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chinese Science Bulletin 1997年第21期42卷 1779-1782页

作者： YUAN Wenjun and HE YuzanInstitute of mathematics, chinese academy of sciences, beijing 100080, china Institute of mathematics Chinese Academy of Sciences Beijing 100080 China

If the coefficients are transcendental, Bergweiler et al. proved that in all possible non-trivialfactorization f(z)=h(g(z)), the growth of the right factor g(z) can be controlled by thegrowth of the coefficients. In ref. [2], He and Laine proved a similar conclusion for two othertypical kinds of nonlinear differential equations. But for the following equation:

关键词： factorization growth order meromorphic function ordinary differential equation.

Holomorphic invariant forms of a bounded domain

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Science china mathematics 2008年第11期51卷 1945-1964页

作者： LU QiKeng Institute of mathematics, academy of mathematics and systems Science, chinese academy of sciences, beijing 100190, china Institute of mathematics Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing China

Given a complete ortho-normal system ? = (?0,?1,?2,…) of L 2 H( $ \mathcal{D} $ ), the space of holomorphic and absolutely square integrable functions in the bounded domain $ \mathcal{D} $ of ? n , we construct a holomorphic imbedding $ \iota _\phi :\mathcal{D} \to \mathfrak{F}(n,\infty ) $ , the complex infinite dimensional Grassmann manifold of rank n. It is known that in $ \mathfrak{F}(n,\infty ) $ there are n closed (μ, μ)-forms τμ (μ = 1,…,n) which are invariant under the holomorphic isometric automorphism of $ \mathfrak{F}(n,\infty ) $ and generate algebraically all the harmonic differential forms of $ \mathfrak{F}(n,\infty ) $ . So we obtain in $ \mathcal{D} $ a set of (μ, μ)-forms ι ? * τμ (μ = 1,…, n), which are independent of the system ? chosen and are invariant under the bi-holomorphic transformations of $ \mathcal{D} $ . Especially the differential metric ds 2 1 associated to the K?hler form ι ? * τ1 is a K?hler metric which differs from the Bergman metric ds 2 of $ \mathcal{D} $ in general, but in case that the Bergman metric is an Einstein metric, ds 1 2 differs from ds 2 only by a positive constant factor.

关键词： complete ortho-normal system holomorphic invariant forms 32A36 32A65