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	1. A Moving Mesh Finite Volume Method Based on Centroidal Voronoi Tessellation for Time Dependent Diffusion Equations
	Chai Xiaoyu,Zhu Liyong
	Mathematics 20 November 2013
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	Abstract:In this paper, a new moving mesh finite volume method is presented for time dependent diffusion equations. In the proposed method, the mesh moving procedure is replaced with the mesh optimization based on centroidal Voronoi tessellation. The new method can avoid some problems arising from the classic moving mesh methods such as expensive computations cost for searching the locations of new nodes and meshes tangling in the moving process. Moreover, the Delaunay triangulation generated by CVT technology satisfies empty circle property and maximize minimum angle, which is of good quality. Finally, some numerical examples show that the new method is effective and has good accuracy and stability.
	TO cite this article:Chai Xiaoyu,Zhu Liyong. A Moving Mesh Finite Volume Method Based on Centroidal Voronoi Tessellation for Time Dependent Diffusion Equations[OL].[20 November 2013] http://en.paper.edu.cn/en_releasepaper/content/4571049


	2. On the limit cycles bifurcating from two-dimensionalisochronous cylinder
	Li Shimin, Zhao Yulin
	Mathematics 03 November 2013
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	Abstract:In thispaper, we correct the displacement function which given by Theorem 2of the paper [J. Llibre, M. Teixeira, 2009]. We also obtain theexact number of limit cycles which can bifurcate from periodicorbits of this system.
	TO cite this article:Li Shimin, Zhao Yulin. On the limit cycles bifurcating from two-dimensionalisochronous cylinder[OL].[ 3 November 2013] http://en.paper.edu.cn/en_releasepaper/content/4567743

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	3. On Holder Continuity of Solutions to Parametric Vector Quasiequilibrium Problems
	CHEN Chun-Rong
	Mathematics 25 September 2013
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	Abstract:In this paper, Holder continuity of the unique solution to a parametric vector quasiequilibrium problem is studied by using nonlinear scalarization approach. The well-known Gerstewitz nonlinear scalarization function as an efficient tool plays key roles, especially, its globally Lipschitz property is fully employed. The result obtained is new in the literature, and the approach via nonlinear scalarization is different from the ones used in related works.
	TO cite this article:CHEN Chun-Rong. On Holder Continuity of Solutions to Parametric Vector Quasiequilibrium Problems[OL].[25 September 2013] http://en.paper.edu.cn/en_releasepaper/content/4561643


	4. On a conjecture of Hadamard powers of polynomials
	WANG Yi,ZHANG Bin
	Mathematics 30 August 2013
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	Abstract:Let f(x)=∑ i=0^n aix^i be a polynomial with positive coefficients and p>0.The pth Hadamard power of f(x) is the polynomial f^[p](x)=∑ i=0^n ai^px^i.It is conjectured that if f(x) has only real zeros, then so does f^[p](x) for p≥1.We verify the conjecture when n=3 and give a counterexample when n=4.We also show that there exists a positive number Pn such thatif f(x) has only real zeros, then so does f^[p](x) for p>Pn.
	TO cite this article:WANG Yi,ZHANG Bin. On a conjecture of Hadamard powers of polynomials[J].


	5. Lie conformal algebra W(a,b)
	XU Ying,YUE Xiaoqing
	Mathematics 29 August 2013
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	Abstract:For any complex parameters a,b, let W(a,b) be the Lie algebra with basis {Li,Hi,\|,i∈Z} andrelations [Li,Lj]=(j-i)Li+j,[Li,Hj]=(a+j+bi)Hi+j, [Hi,Hj]=0. In this paper, we construct the W(a,b) conformal algebra for some a,b and its conformal module of rank one.
	TO cite this article:XU Ying,YUE Xiaoqing. Lie conformal algebra W(a,b)[OL].[29 August 2013] http://en.paper.edu.cn/en_releasepaper/content/4557113


	6. Asymptotic analysis of the lattice Boltzmann method for generalized Newtonian fluidflows
	Yang Zaibao ,Yong Wenan
	Mathematics 27 August 2013
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	Abstract:In this article, we present a detailed asymptotic analysis of the lattice Boltzmann methodwith two different collision mechanisms of BGK-type on the D2Q9-lattice forgeneralized Newtonian fluids. Unlike that based on the Chapman-Enskog expansion leadingto the compressible Navier-Stokes equations, our analysis gives theincompressible ones directly and exposes certain important features of the lattice Boltzmann solutions.Moreover, our analysis provides a theoretical basisfor using the iteration to compute the rate-of-strain tensor, which makes sensespecially for generalized Newtonian fluids.As a by-product, a seemingly new structural condition on the generalized Newtonian fluidsis singled out. This condition reads as ``the magnitude of the stress tensor increaseswith increasing the shear rate". We verify this conditionfor all the existing constitutive relations which are known to us.In addition, it it straightforward to extend our analysis to MRT modelsor to three-dimensional lattices.
	TO cite this article:Yang Zaibao ,Yong Wenan . Asymptotic analysis of the lattice Boltzmann method for generalized Newtonian fluidflows[OL].[27 August 2013] http://en.paper.edu.cn/en_releasepaper/content/4557185


	7. On the existence of multiple positive solutions to boundary value problems of nonlinear fractional differential equations
	WANG Libo,XU Guigui
	Mathematics 09 July 2013
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	Abstract: In this paper, we study the existence of multiple positive solutions for the nonlinear fractional differential equation boundary value problem. By the properties of the Green function, the lower and upper solution method and fixed point theorem, some new existence criteria for fractional di_erential equation boundary value problem are established.
	TO cite this article:WANG Libo,XU Guigui. On the existence of multiple positive solutions to boundary value problems of nonlinear fractional differential equations[OL].[ 9 July 2013] http://en.paper.edu.cn/en_releasepaper/content/4551286


	8. Precise large deviations for sums of two-dimensional random vectors with dependent components with extended regularly varying tails
	TIAN Hai-Lan,SHEN Xin-Mei
	Mathematics 02 July 2013
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	Abstract:Let ${ec{X}_{k}, k geq 1}$ be a sequence ofindependent identically distributed non-negative random vectors withcommon marginal distributions $F_{1}$, $F_{2}$ having extendedregularly varying tails, joint distribution function $F_{1,2}$ andfinite mean $ec{mu}=epec{X}_{1}$. The two components of$ec{X}_{1}$ are allowed to be dependent. Under some mildassumptions, precise large deviations for both the partial sums$ec{S}_{n}=sum_{k=1}^{n}ec{X}_{k}$ and the random sums$ec{S}_{N(t)}=sum_{k=1}^{N(t)}ec{X}_{k}$ are investigated,where $N(t)$ is a counting process independent of the sequence${ec{X}_{k}, k geq 1}$.
	TO cite this article:TIAN Hai-Lan,SHEN Xin-Mei. Precise large deviations for sums of two-dimensional random vectors with dependent components with extended regularly varying tails[OL].[ 2 July 2013] http://en.paper.edu.cn/en_releasepaper/content/4549936


	9. On the Coincidence ofCertain Approaches to Smoothness Spaces Related to Morrey Spaces
	Yuan Wen,WINFRIED SICKEL,Yang Dachun
	Mathematics 18 May 2013
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	Abstract:In this paper,we compare the recent approach of Hans Triebelto introduce smoothness spacesrelated to Morrey-Campanato spaceswith Besov type and Triebel-Lizorkin type spaces.These two scales have been introduced some years ago and representa further variant to measure smoothness by using Morrey spaces.
	TO cite this article:Yuan Wen,WINFRIED SICKEL,Yang Dachun. On the Coincidence ofCertain Approaches to Smoothness Spaces Related to Morrey Spaces[OL].[18 May 2013] http://en.paper.edu.cn/en_releasepaper/content/4544083


	10. On the existence of positive entire non-radial bounded solutions for a class of semilinear elliptic systems
	LIAN Tingting,ZHANG Zhijun
	Mathematics 10 April 2013
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	Abstract:By using the monotony iteration method, super-sub solutions method, combining with Arzela-Ascoli theorem, in the paper we show the existence of entire positive non-radial bounded solutions for the semilinear elliptic system under the simple conditions on weights and nonlinear terms. We omit the integral conditions near infinity on the nonlinear functions.
	TO cite this article:LIAN Tingting,ZHANG Zhijun. On the existence of positive entire non-radial bounded solutions for a class of semilinear elliptic systems[OL].[10 April 2013] http://en.paper.edu.cn/en_releasepaper/content/4536853

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