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Existence of Solutions for Three Dimensional Stationary Incompressible Euler Equations with Nonvanishing Vorticity

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chinese Annals of Mathematics,Series B 2009年第6期30卷 803-830页

作者： Chunlei TANG Zhouping XIN Department of Mathematics,Southwest university,Chongqing 400715,China The Institute of Mathematical Sciences,the chinese university of hong kong,hong kong,China The Institute of Mathematical Sciences,the chinese university of hong kong,hong kong,China Department of Mathematics Southwest University Chongqing 400715 China The Institute of Mathematical Sciences The Chinese University of Hong Kong Hong Kong China

In this paper,solutions with nonvanishing vorticity are established for the three dimensional stationary incompressible Euler equations on simply connected bounded three dimensional domains with smooth boundary.A clas... 详细信息

关键词： Three dimensional stationary incompressible Euler equations Boundaryvalue condition Nonvanishing vorticity

The structure of L*-inverse semigroups

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Science China Mathematics 2006年第8期49卷 1065-1081页

作者： REN Xueming & SHUM Karping Department of Mathematics, Xi’an university of Architecture and Technology, Xi’an 710055, China Faculty of Science, the chinese university of hong kong, hong kong, China Department of Mathematics Xi'an University of Architecture and Technology Xi'an 710055 China Faculty of Science The Chinese University of Hong Kong Hong Kong Hong Kong

The concepts of L*-inverse semigroups and left wreath products of semigroups are introduced. It is shown that the L*-inverse semigroup can be described as the left wreath product of a type A semigroupΓand a left regular band B together with a mapping which maps the semigroupΓinto the endomorphism semigroup End(B). This result generalizes the structure theorem of Yamada for the left inverse semigroups in the class of regular semigroups. We shall also provide a constructed example for the L*-inverse semigroups by using the left wreath products.

关键词： L*-inverse semigroups type A semigroups left regular bands left wreath products.

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Happy Aging

chinese Journal of Integrative Medicine 2009年第6期15卷 466-469页

作者：梁秉中 Institute of chinese Medicine the Chinese University of Hong Kong

Aging is a normal physiological process in human *** decline in the ability to repair and regenerate predisposes the aging person to develop disabling problems in the cardiovascular and skeletal *** awareness of aging problems and advocations on the means to prevent their occurrence are *** and US groups rely on scientific,target-oriented means to treat aging manifestations. Oriental medicine aims at prevention,using nutrition and exercise to maintain internal harmony.

关键词： aging nutrition chinese medicine

Remarks on Vanishing Viscosity Limits for the 3D Navier-Stokes Equations with a Slip Boundary Condition

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chinese Annals of Mathematics,Series B 2011年第3期32卷 321-332页

作者： Yuelong XIAO1 Zhouping XIN2 1Institute for Computational and Applied Mathematics,Xiangtan university,Xiangtan 411105,Hunan,China The Institute of Mathematical Sciences,the chinese university of hong kong,hong kong,China.2The Institute of Mathematical Sciences,the chinese university of hong kong,hong kong,China. The Institute of Mathematical Sciences The Chinese University of Hong Kong Hong Kong China

The authors study vanishing viscosity limits of solutions to the 3-dimensional incompressible Navier-Stokes system in general smooth domains with curved boundaries for a class of slip boundary conditions. In contrast to the case of flat boundaries, where the uniform convergence in super-norm can be obtained, the asymptotic behavior of viscous solutions for small viscosity depends on the curvature of the boundary in general. It is shown, in particular, that the viscous solution converges to that of the ideal Euler equations in C（[0, T]; HI（Ω）） provided that the initial vorticity vanishes on the boundary of the domain.

关键词： Poincare inequality Sobolev spaces with variable exponent

Reaction of [η~5:σ-Me_2C(C_5H_4)(C_2B_(10)H_(10))]Ru(NCCH_3)_2 with internal alkynes:Synthesis and structural characterization of ruthenium-cyclobutadiene and ruthenacyclopentatriene complexes

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Science China Chemistry 2010年第10期53卷 2123-2128页

作者： QIU ZaoZao, SUN Yi & XIE ZuoWei Department of Chemistry, the chinese university of hong kong, Shatin, New Territories, hong kong, China 1. Department of Chemistry The Chinese University of Hong Kong Shatin New Territories Hong Kong China

Reaction of [η5:σ-Me2C(C5H4)(C2B10H10)]Ru(NCCH3)2 (1) with R1C≡CR1(R1 = Et, Ph) in toluene at 80 °C yielded organoruthenium cyclobutadiene complexes [η5:σ-Me2C(C5H4)(C2B10H10)]Ru(-4-C4R14) in >80% yield. Treatment of 1 with diynes R2C≡C(CH2)3C≡CR2 (R2 = Me, Et) in toluene at room temperature yielded ruthenacyclopentatrienes [η5:σ-Me2C (C5H4)(C2B10H10)]Ru[=C2(R2)2C2(CH2)3] in >85% yield. These new complexes were fully characterized by various spectroscopic techniques, elemental analyses and single-crystal X-ray diffraction studies. The possible reaction mechanism was proposed.

关键词： alkyne carborane diyne ruthenacyclopentatriene ruthenium ruthenium-cyclobutadiene

Finite Volume Methods for Solving Electromagnetic Problems in Nonhomogeneous Media

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Wuhan university Journal of Natural Sciences 2003年第S1期8卷 176-182页

作者： Zou JunDepartment of Mathematics. the chinese university of hong kong, Shatin, N. T. , hong kong, China. the chinese university of hong kong Department of Mathematics Shatin N. T Hong Kong China (GRID:grid.10784.3a) (ISNI:***)

This article shall review some of the recent advances on finite volume methods for solving electromagnetic problems in nonhomogeneous media. The stability, convergence and applications of the finite volume methods wil... 详细信息

关键词： Maxwell equations finite volume methods stability convergence

Real Banach * Algebras

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Acta Mathematica Sinica,English Series 2000年第3期16卷 469-486页

作者： Bingren Li Institute of Mathematics,Academy of Mathematics and Systems Sciences,chinese Academy of Sciences,Beijing 100080,P.R.ChinaDepartment of Mathematics,chinese university of hong kong,hong kong,P.R.ChinaPingkwan Tam Department of Mathematics,chinese university of hong kong,Shatin,N.T.,hong kong,P.R.China Institute of Mathematics Academy of Mathematics and Systems Sciences Chinese Academy of Sciences Bejing 100080 P. R. China Department of Mathematics Chinese University of Hong Kong Hong Kong P. R. China Department of Mathematics Chinese University of Hong Kong Shatin N. T. Hong Kong P. R. China

In this paper,we study real Banach * algebras *** present the right form of Pták’s inequality[1,4]in the real case,and generalize the results of Vukman in[3]to the general case(algebras with or without an identity).... 详细信息

关键词： Real Banach algebra Representation Radical Enveloping real C-algebra Symmetric real Banach algebra

Grain Size and Wettability of TiO_2/SiO_2 Photocatalytic Composite Thin Filing

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Rare Metals 2001年第2期20卷 81-86页

作者： Jiaguo Yu, Xiujian Zhao, Jimmy C Yu, Jun Lin (State Key Laboratory of Advanced Technology for Materials Synthesis and Processing, Wuhan university of Technology, Wuhan 430070, China Deportment of Chemised the chinese university of hong kong, hong kong, 武汉工业大学材料复合新技术国家重点实验室湖北武汉 430070 香港大学化学系香港 430070

The uniform transparent TiO2/SiO2 photocatalytic composite thin films are prepared by sol-gel method on the soda lime glass substrates, and characterized by UV-visible spectroscopy, X-ray diffraction (XRD), transmission electron microscopy (TEM), BET surface area, FTIR spectroscopy and X-ray photoelectron spectroscopy (XPS). It was found that the addition of SiO2 to TiO2 thin films can suppress the grain growth of TiO2 crystal, increase the hydroxyl content on the surface of TiO2 films, lower the contact angle for water on TiO, films and enhance the hydrophilic property of TiO2 films. The super-hydrophilic TiO2/SiO2 photocatalytic composite thin films with the contact angle of 0((o) under bar) are obtained by the addition of 10%-20% SiO2 in mole fraction.

关键词： sol-gel method TiO2/SiO2 photocatalytic composite thin films grain size wettability

NOVEL SYNTHESIS OF LONG MULTI-BLOCK HETEROPOLYMER CHAINS WITH AN ORDERED SEQUENCE AND CONTROLLABLE BLOCK LENGTHS

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chinese Journal of Polymer Science 2001年第5期19卷 451-454页

作者： Chi Wu Zuo-wei Xie Guang-zhao Zhang Guo-fu Zi Department of Chemistry, the chinese university of hong kong Shatin, N.T., hong kong China chinese Univ hong kong Dept Chem Shatin Hong Kong Peoples R China

It had very long been a dream in polymer science to synthesize long multi-block polymer chains with an orderedchain sequence and controllable block lengths. Using ionic or living free radical polymerization or furnishing each end ofpolymer blocks with a reactive functional group, one can only prepare heteropolymer chains with few long blocks, such asdiblock and triblock copolymers. The most plausible result so far was a pentablock copolymer. Recently, using a combinationof polymer physics and synthetic chemistry, we have invented self-assembly assisted polycondensation (SAAP). Thiscommunication reports the results of using this novel. method to connect 10-100 triblock polymer chains together to formlong multi-block heteropolymer chains with an ordered sequence and controllable block lengths.

关键词： multi-block copolymer self assembly self assembly assisted polypolymerization novel polymer synthesis