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BIFURCATION RESULTS FOR A SEMILINEAR SCHRDINGER EQUATION WITH INDEFINITE LINEAR PART

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Acta Mathematica Scientia 2004年第3期24卷 493-498页

作者：张正杰卢伟明 Laboratory of Nonlinear Analysis Department of Mathematics Central China Normal University Wuhan 430079 China institute of Chemical Technology Zhengzhou Institute of Technology Zhengzhou 450052 Chinahis paper studies the following semilinear Schrodinger problem It is proven that there exists a bifurcation branch of solutions for the above problem when g(x) can possibly vanish except for a bounded domain ΩRN.

This paper studies the following semilinear Schrodinger problem It is proven that there exists a bifurcation branch of solutions for the above problem, when g(x) can possibly vanish except for a bounded domain Ω RN.

关键词： Schrodinger equation branch of solutions bifurcation

A REMARK ON THE GLOBAL SMALL SOLUTION FOR GENERAL COUPLED MAXWELL-SCHR■DINGER EQUATIONS IN IR^3

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Systems Science and Mathematical Sciences 1999年第2期12卷 97-103页

作者： MIAO Changxing(institute of Applied Physics and Computational Mathematics, Beijing 100088, china)LI Zemin(Department of Mathematics, zhengzhou University,{3., china)

This note is a continuation of earlier papers "The Cauchy Problem for General Coupled Maxwell-Schrodinger Equations (I) (II)". When the spatial dimensions are three ,we prove the existence of global small solution for... 详细信息

关键词： Coupled Maxwell-Schrodinger equations Cauchy problem quasi-energy method.

Dam risk assistant analysis system design

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Science china(Technological Sciences) 2008年第S2期51卷 101-109页

作者： HE XianFeng1,2,3.GU ChongShi3.4,WU ZhongRu3.4 & SU HuaiZhi3.4 1 Yellow River institute of Hydraulic Research,zhengzhou 450003.china 2 Embankment Security Defect Prevention and Control Engineering Research Center of MWR,zhengzhou 45000,china 3.College of Water Resources and Hydropower Engineering,Hohai University,Nanjing 210098,china 4 National Engineering Research Center of Water Resources Efficient Utilization and Engineering Safety,Hohai University,Nanjing 210098,china Yellow River institute of Hydraulic Research Zhengzhou China Embankment Security Defect Prevention and Control Engineering Research Center of MWR Zhengzhou China College of Water Resources and Hydropower Engineering Hohai University Nanjing China National Engineering Research Center of Water Resources Efficient Utilization and Engineering Safety Hohai University Nanjing China

In order to reduce the labor intensity and task difficulty of dam risk analysis and to meet the actual requirement of dam risk analysis,it is necessary to establish a dam risk assistant analysis *** program structure and the implementation ways of the dam risk assistant analysis system are analyzed,and a procedural framework with "three-tier and multi-database" structure and "level structure" is *** concept of dam risk assessment system modular development is proposed and the coupled mode of function module and data is ***,the dam risk assistant analysis system is developed using Delphi visual programming language.

关键词： dam risk risk analysis assistant analysis system

PERIODIC BOUNDARY VALUE PROBLEM AND CAUCHY PROBLEM OF THE GENERALIZED CUBIC DOUBLE DISPERSION EQUATION

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Acta Mathematica Scientia 2008年第3期28卷 573-587页

作者：陈国旺薛红霞 Department of Mathematics Zhengzhou University Department of Mathematics and Physics Zhengzhou Institute of Aeronautical Industry Management Zhengzhou 450015 China

In this article, the existence, uniqueness and regularities of the global generalized solution and global classical solution for the periodic boundary value problem and the Cauchy problem of the general cubic double dispersion equationutt - uxx - auxxtt ＋ bux4 - duxxt = f（u）xxare proved, and the sufficient conditions of blow-up of the solutions for the Cauchy problems in finite time are given.

关键词： The generalized cubic double dispersion equation Cauchy problem existence and uniqueness of global solution nonexistence of global solution

AN ANISOTROPIC NONCONFORMING FINITE ELEMENT METHOD FOR APPROXIMATING A CLASS OF NONLINEAR SOBOLEV EQUATIONS

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Journal of Computational Mathematics 2009年第Z1期 299-314页

作者： Dongyang Shi Haihong Wang Department of Mathematics,zhengzhou University,zhengzhou 450052,{3. Yuepeng Du Department of Computer,Nanyang institute of Technology,Nanyang 473.04,{3.

An anisotropic nonconforming finite element method is presented for a class of nonlinearSobolev *** optimal error estimates and supercloseness are obtained for bothsemi-discrete and fully-discrete approximate schemes,which are the same as the traditionalfinite element *** addition,the global superconvergence is derived through thepostprocessing *** experiments are included to illustrate the feasibilityof the proposed method.

关键词： Nonlinear Sobolev equations Anisotropic Nonconforming finite element Supercloseness Global superconvergence

Treatment of membranous Budd-Chiari syndrome: analysis of 480 cases

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Hepatobiliary & Pancreatic Diseases International 2004年第1期3卷 73-76页

作者： Pei-Qin Xu and Xiao-Wei Dang zhengzhou, china Department of General Surgery, First A ffiliated Hospi- tal of zhengzhou University,{3. , china Department of General Surgery First Affiliated Hospital of Zhengzhou University Zhengzhou 450052 China. vl_institute1086@***

BACKGROUND: Budd-Chiari syndrome (BCS) presents a kind of disease resulted from the occlusion of hepatic vein and/or the intrahepatic inferior vena cava. Its different pathological types were proposed. According to our expe- rience , the membranous type takes a large part of it, and we tried to explore the best treatment of membranous BCS through the analysis of 480 cases retrospectively. METHOD: The operative results of 480 patients with mem- branous BCS were analysed retrospectively. RESULTS: Patients after Kimura's finger rupture, inter- ventional treatment and membrane resection were followed up with rates of 84.62%, 86.55%, and 87.3.%, respective- ly. The effective rates of the three methods were 61.4%, 91.7%, and 90.4%, respectively, and the recurrence rates of the disease after the 3.procedures were 3..6%, 8.3. and 9.6%, respectively. The long-term effects of interventional treatment and resection were significantly better than those of Kimura' s finger rupture (P <0.05). CONCLUSION: Balloon dilatation is the choice for mem- branous BCS. Patients with extensive lesion, thick mem- brane or recurrence after percutaneous transhepatic angio- graphy should undergo membrane resection.

关键词： hepatic vein thrombosis balloon dilatation vascular surgical procedures Budd-Chiari syndrome

Weighted norm inequalities for the multilinear Calderón-Zygmund operators

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Science china Mathematics 2010年第7期53卷 1859-1872页

作者： HU GuoEn Department of Applied Mathematics, zhengzhou Information Sciences and Technology institute,zhengzhou 450002,{3. Department of Applied Mathematics Zhengzhou Information Sciences and Technology Institute

In this paper, by proving some suitable weighted endpoint estimates, and then by multilinear interpolation and a new multilinear extrapolation lemma, the author establishes some weighted estimates for the multilinear ... 详细信息

关键词： multilinear Calderón-Zygmund operator commutator weighted norm inequality interpolation extrapolation

Study on the changes of water cycle and its impacts in the source region of the Yellow River

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Science china(Technological Sciences) 2004年第z1期47卷 142-151页

作者： ZHANG Shifeng1, JIA Shaofeng1, LIU Changming1, CAO Wenbing2, HAO Fanghua3. LIU Jiuyu4 & YAN Huayun5 1. institute of Geographic Sciences and Natural Resources Research, Chinese Academy of Sciences, Beijing 100101, china 2. china University of Geosciences, Beijing 100083. china 3. Beijing Normal University, Beijing 100875, china 4. Bureau of Hydrology of Yellow River Conservancy Commission, zhengzhou 450003. china 5. Bureau of Hydrology and Water Resource Investigation of Qinghai Province, Xining 810001, china institute of Geographic Sciences and Natural Resources Research Chinese Academy of Sciences Beijing 100101 China

The water cycle in the source region of the Yellow River underwent great changes in the 1990s. The major features of the changes are as follows: the gauged runoff declined significantly while the precipitation increased slightly, and the runoff process was more concentrated on the flood season. Water balance analyses indicate that the pondage was kept in the status of negative equilibrium, causing eco-environmental problems. The runoff decrement is due to evaporation increment in this region. Studies show that the runoff process in this region is closely related to that of the other hydrological stations in the upper reaches. When the runoff declines in the source regions, the amount of water also declines in the whole upper reaches of the Yellow River, affecting the balance between water demand and supply. Meanwhile changes will take place in the water cycle of the river course system when the eco-environment deteriorates. The trend of water cycle change in the source region is that the runoff will keep declining with the increment of evaporation caused by temperature rise in the northwest of china in the 21st century. But the hydraulic engineering in the source region will help to mitigate the deterioration of local eco-environment system, though the impacts to the lower reaches of this project may not be the case.

关键词： source region of the Yellow River, water cycle, evaporation, negative equilibrium.

Distribution of 0 and 1 in the highest level of primitivesequences over Z/(2~e) (Ⅱ)

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Chinese Science Bulletin 1998年第8期43卷 633-635页

作者： QI Wenfeng and ZHOU Jinjun Department of Applied Mathmatics, zhengzhou Information Engineering institute, zhengzhou 450002,{3. Department of Applied Mathmtics Zhengzhou Information Engineering Institute Zhmgzhou China

The distribution of 0 and 1 is studied in the highest level a e-1of primitive sequences over Z/(2\+e). It is proved that the proportion of 0 (or 1) in one period of a e-1is between 40% and 60% for e≥8.

关键词： linear recurring sequence primitive sequence highest levelZ sequence distribution of 0 and 1.