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Completely regular paracompact reflection of locales

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Science china mathematics 2006年第6期49卷 820-826页

作者： HE Wei & LUO Maokang department of mathematics, Nanjing normal university, Nanjing 210097, china department of mathematics, Sichuan university, Chengdu 610064, china department of mathematics Nanjing Normal University Nanjing China department of mathematics Sichuan University Chengdu China

We give an explicit construction of the completely regular paracompact reflection pL of a completely regular locale L described as a sublocale of the Stone-tech compactification βL of L.

关键词： completely regular paracompact locale, nucleus.

Generalized dromions of the (2+1)-dimensional nonlinear Schrdinger equations

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Communications in Nonlinear Science and Numerical Simulation 2001年第1期6卷 50-53页

作者： Jiefang ZHANG (Institute of Nonlinear Physics, zhejiang normal university, jinhua 32.004, china) Institute of Nonlinear Physics Zhejiang Normal University Jinhua 321004 China

We derive the generalized dromions of the (2+1)-dimensional nonlinear Schrodinger equations besides the basic dromion solutions by suitably utilizing the arbitrary function in the bilinearized equations. The rich drom... 详细信息

关键词： dromion (2+1)-dimensional nonlinear Schrdinger equations

Uniform blow-up profiles and boundary layer for a parabolic system with localized nonlinear reaction terms

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Science china mathematics 2005年第2期48卷 185-197页

作者： LI Huiling & WANG Mingxin department of mathematics, Southeast university, Nanjing 210018, china department of mathematics, Xuzhou normal university, Xuzhou 221116, china department of mathematics Southeast University Nanjing China department of mathematics Xuzhou Normal University Xuzhou China

This paper deals with the blow-up properties of the solution to a semilinear parabolic system with localized nonlinear reaction terms, subject to the null Dirichlet boundary condition. We first give sufficient conditions for that the classical solution blows up in the finite time, secondly give necessary conditions and a sufficient condition for that two components blow up simultaneously, and then obtain the uniform blow-up profiles in the interior. Finally we describe the asymptotic behavior of the blow-up solution in the boundary layer.

关键词： parabolic system, localized nonlinear reaction terms, blow-up profiles, boundary layer size.

Understanding and improving Yangtze River Basin summer precipitation prediction using an optimal multi-Physics ensemble

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Frontiers of Earth Science 2024年第1期18卷 256-277页

作者： Yang ZHAO Fengxue QIAO Xin-Zhong LIANG jinhua YU Climate Environment and Sustainability CenterNanjing University of Information Science and TechnologyNanjing 210044China Key Laboratory of Geographic Information Science(Ministry of Education) East China Normal UniversityShanghai 200241China School of Geographic Sciences East China Normal UniversityShanghai 200241China department of Atmospheric and Oceanic Science University of MarylandCollege Park MD 20740USA Earth System Science Interdisciplinary Center University of MarylandCollege Park MD 20740USA Key Laboratory of Meteorological Disaster(KLME)(Ministry of Education)/Collaborative Innovation Center on Forecast and Evaluation of Meteorological Disasters(CIC-FEMD) Nanjing University of Information Science and TechnologyNanjing 210044China

This study employs the regional Climate-Weather Research and Forecasting model(CWRF)to first investigate the primary physical mechanisms causing biases in simulating summer precipitation over the Yangtze River Basin(YRB),and then enhance its predictive ability through an optimal multi-physics ensemble *** CWRF 30-km simulations in china are compared among 28 combinations of varying physics parameterizations during 1980−***-term average summer biases in YRB precipitation are remotely correlated with those of large-scale *** teleconnections of biases are highly consistent with the observed correlation patterns between interannual variations of precipitation and circulations,despite minor shifts in their primary action *** YRB precipitation aligns with a southward shifted East Asian westerly jet,an intensified low-level southerly flow south of YRB,and a south-eastward shifted South Asian high,alongside higher moisture availability over ***,decreased YRB precipitation corresponds to an opposite circulation *** CWRF control configuration using the ensemble cumulus parameterization(ECP),compared to other cumulus schemes,best captures the observed YRB precipitation characteristics and associated circulation *** ECP with the Morrison or Morrison-aerosol microphysics and the CCCMA or CAML radiation schemes enhances the overall CWRF *** to the control CWRF,the ensemble average of these skill-enhanced physics configurations more accurately reproduces YRB summer precipitation’s spatial distributions,interannual anomalies,and associated circulation *** Bayesian Joint Probability calibration to these configurations improves the ensemble’s spatial distributions but compromises its interannual anomalies and teleconnection *** findings highlight substantial potential for refining the representation of climate system physics to improve YRB precipitation *** is notabl

关键词： physics parameterization regional climate model downscaling skill enhancement multi-physics ensemble teleconnection bias reduction

Synthesis and Structure of Bis(indene-1,2,3-trione 2-oximato)bis(aqua)Mn(Ⅱ): Mn(C_9H_4NO_3)_2(H_2O)_2

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Chinese Journal of Structural Chemistry 2003年第2期22卷 133-136页

作者： FENG Yun-Long① (Institute of Physical Chemistry, zhejiang normal university, jinhua 32.004, china department of Chemistry, zhejiang normal university, jinhua 32.004, china) Institute of Physical Chemistry Zhejiang Normal University Jinhua 321004

The title complex, bis(indene-1,2,3-trione 2-oximato)bis(aqua)Mn(Ⅱ), crystallizes in the monoclinic system, space group P21/c with a = 5.201(1), b = 16.547(3), c = 9.914(2) ? ?= 100.30(3), V = 839.4(3) 3, Dc = 1.738 g/cm3, F(000) = 446, C18H12N2O8Mn, Mr = 439.24, m(MoKa) = 0.842 mm-1, Z = 2, the final R = 0.0228 and wR = 0.0782 for 1762 observed reflections (I ≥ 2s(I)). The geometry around Mn(Ⅱ) is a distorted octahedral configuration with the basal plane consisting of two oximo-oxygen and two carbonyl-oxygen atoms from ligand indene-1,2,3-trione 2-oximato, while the axial coordination sites are occupied by two water- oxygen atoms. A plane network is formed by the intermolecular hydrogen bonds. The title complex is the first example of metal complex containing ligand indene-1,2,3-trione 2-oxime.

关键词： manganese(Ⅱ) complex ketoxime indene-1 2 3-trione 2-oxime crystal structure

ON THE APPROXIMATELY SIMILARITY OF OPERATORS

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Chinese Annals of mathematics,Series B 1998年第4期19卷 465-472页

作者： WEI GUOQIANG (department of mathematics, East china normal university, Shanghai 200062, china.) 华东师范大学数学系上海

The author shows that a rank-preserving *-isorporphism between separable C*-algebras with unity is approximately equivalent to the identity representation. Some applications are made for approximately similarity of n-... 详细信息

关键词： C*-algebra Rank-preserving *-isomorphism Approximately equevalent,Approximately similar n-tuples of operators

MULTIPLICITY OF PERIODICSOLUTIONS OF DUFFING'S EQUATIONSWITH LIPSCHITZIAN CONDITIONMULTIPLICITY OF PERIODICSOLUTIONS OF DUFFING'S EQUATIONS WITH LIPSCHITZIAN CONDITION

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Chinese Annals of mathematics,Series B 2000年第4期21卷 479-488页

作者： WANG ZAIHONG (department of mathematics, Capital normal university, Beijing 100037, china.) department of mathematics Capital Normal University Beijing 100037 China

This paper deals with the existence and multiplicity of periodic solutions of Duffing equations x + g(x) = p(t). The author proves an infinity of periodic solutions to the periodically forced nonlinear Duffing equations provided that g(x) satisfies the globally lipschitzian condition and the time-mapping satisfies the weaker oscillating property.

关键词： Periodic solution Time mapping Poincare-Birkhoff twist theorem

Existence of Nontrivial Solutions for p-Laplacian Variational Inclusion Systems in R^N

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Chinese Annals of mathematics,Series B 2011年第4期32卷 619-630页

作者： Zifei SHEN Songqiang WAN department of mathematics Zhejiang Normal University Jinhua 321004 Zhejiang China

The authors study the existence of nontrivial solutions to p-Laplacian variational inclusion systems where N ≥ 2, 2 ≤ p ≤ N and F ： R^2 →% is a locally Lipschitz function. Under some growth conditions on F, and b... 详细信息

关键词： Mountain pass theorem p-Laplacian Principle of symmetric criticality Variational inclusion systems (PS)-condition Locally Lipschitz functions

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Saturated models

Chinese Science Bulletin 1998年第7期43卷 562-564页

作者： CHEN Guolong department of mathematics, Beijing normal university, Beijing 100875, china department of mathematics Beijing Normal University Beijing China

An equivalent description of saturated models is given, and some properties of countable saturated models, almost saturated models and full models are discussed. New proofs of two important theorems of the related doc... 详细信息

关键词： almost saturated model full model power type.