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The Fourier Transformations of Positive Distributions on Lorentz Group SO(3,1)

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wuhan university Journal of Natural Sciences 2001年第3期6卷 631-642页

作者： Zhu Li College of Mathematics and Statistics, wuhan university, wuhan 4.0072,china wuhan university College of Mathematics and Statistics Wuhan China (GRID:grid.49470.3e) (ISNI:***)

With the aid of Plancherel-Godement Theorem, we prove that every positive distributionT onSO (3, 1) which is bi-invariant underSO(3) corresponds to a measure μ on ω=∝σC|s(2-s)>=0∝, and μ can be decomposed intoμ... 详细信息

关键词： K-bi-in-invariant positive distribution spherical Fourier transformation Laplace-Beltrami operator

Smooth solutions of non-linear stochastic partial differential equations driven by multiplicative noises

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Science china Mathematics 2010年第11期53卷 2949-2972页

作者： ZHANG XiCheng School of Mathematics and Statistics, wuhan university, wuhan 4.0072, china 1. School of Mathematics and Statistics Wuhan University Wuhan 430072 China

In this paper, we study the regularity of solutions of nonlinear stochastic partial differential equations (SPDEs) with multiplicative noises in the framework of Hilbert scales. Then we apply our abstract result to several typical nonlinear SPDEs such as stochastic Burgers and Ginzburg-Landau equations on the real line, stochastic 2D Navier-Stokes equations (SNSEs) in the whole space and a stochastic tamed 3D Navier-Stokes equation in the whole space, and obtain the existence of their smooth solutions respectively. In particular, we also get the existence of local smooth solutions for 3D SNSEs.

关键词： smooth solutions stochastic partial differential equations stochastic Navier-Stokes equations

Griesbachian Cyclostratigraphy at MajiashanSection, Anhui Province, china

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Journal of china university of geosciences 2001年第1期12卷 22-26页

作者： Peng Yuanqiao Tong Jinnan Faculty of Earth Sciences, china university of geosciences, wuhan 43.074 Gao Yongqun china university of geosciences Press, wuhan 43.074 Faculty of Earth Sciences China University of Geosciences china university of geosciences Press

The Lower Triassic at Majiashan Section, deposited in the deep part of the Lower Yangtze carbonate ramp, is the only outcrop of the deep Lower Triassic preserved in the present Lower Yangtze region. Even so, the alternations of mudrock of mudrock and marl (or limestone) are still very distinct and recognizableable, though usually more or less condensed. The lithological and geochemical cycles at Majiashan Section are discussed in terms of the sedimentary characters and the contents of some elements analyzed at a 2-centimeter-interval with no hiatus of the Lower Triassic. The division resolution of the Griesbachian stratigraphy may increase to the scale of ten thousand years by the mudrock-marl (or limestone) bundles and the geochemical cycles. The analysis of the relationship between the sedimentary cycles/the geochemical cycles and the Milankovitch cycles may suggest the time limit and the sedimentary rates.

关键词： Majiashan Section Griesbachian sedimentary bundles geochemical characters Milankovitch cycles.

Magnetic Petrology of Archean High-Grade Terrains: Window into Deep Crustal Structure and Geodynamic Processes

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Journal of Earth Science 1998年第1期17卷 83-87页

作者： Liu Qingsheng Department of Applied Geophysics, china university of geosciences, wuhan 43.074 Gao Shan Faculty of Earth Sciences, china university of geosciences, wuhan 43.074

The major results about magnetic petrology of Archearn high grade terrains in the world are reviewed in this article, focusing on the relationship between rock magnetism and deformation, and metamorphism and intensity of magnetization of the lower continental crust. The important problems about the magnetic study of rocks for high grade terrains are advanced.

关键词： lower continental crust granulite facies terrain magnetic petrology.

Middle Triassic Stratigraphy and Sedimentary Paleogeography of South china

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Journal of Earth Science 2000年第3期19卷 70-76页

作者： Tong Jinnan Liu Zhili Faculty of Earth Sciences, china university of geosciences, wuhan 43.074, china

The Middle Triassic was the great turning period of South china from marine sedimentary basins to continental deposits or erosion. This paper summarizes the distribution and variation of the stratigraphic sequences, lithofacies and biotas in various Middle Triassic depositional basins of South china. The close relationship between the biotic paleoecology and the lithofacies as well as the sedimentary facies, thus the paleogeography, is demonstrated. The process of the transition from the depositional paleogeography and its relation to the tectonic settings is concluded.

关键词： Middle Triassic sedimentary facies and paleogeography South china.

Pathways of birnessite formation in alkali medium

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Science china Earth Sciences 2005年第9期48卷 1438-1451页

作者： FENG Xionghan1, TAN Wenfeng1, LIU Fan1, HUANG Qiaoyun1 & LIU Xiangwen2 1. College of Resources and Environment, Huazhong Agricultural university, wuhan 4.0070, china 2. Testing Center, china university of geosciences, wuhan 43.074, china 1. College of Resources and Environment Huazhong Agricultural University 430070 Wuhan China 2. Testing Center China University of Geosciences 430074 Wuhan China

Birnessite is a common weathering and oxidation product of manganese-bearing rocks. An O2 oxidation procedure of Mn(OH)2 in the alkali medium has been used to synthesize birnessite. Fast and powder X-ray diffraction (XRD), transmission electron microscopy (TEM), electron diffraction (ED), energy dispersed X-ray analysis (EDAX), infrared spectroscopy (IR) techniques and chemical composition analysis, Eh-pH equilibrium diagram approaches were employed to investigate the reaction process and pathways of birnessite formation. Results showed that the process of the birnessite formation could be divided into four stages: (1) forma- tion stage for hausmannite and feitknechtite, (2) stage of transformation of hausmannite and feitknechtite to buserite, (3) buserite crystal growing stage, and (4. stage of conversion of buser- ite into birnessite. Mn(OH)2 was mainly present as amorphous state only for a short initial time of oxidation reaction. In the oxidation process, buserite formed following two pathways by recrys- tallization after dissolution of the intermediates, and the transformations of the minerals de- pended on the Eh determined by the dissolved O2 concentration on their surfaces. The results are fundamental in further exploration on the mechanism of birnessite formation in the alkali medium. A great practical significance would also be expected with respect to the areas of mate- rial sciences.

关键词： birnessite, pathway of formation, reaction process, Eh-pH diagram, hausmannite, feitknechtite.

Real-time and dynamic transduction technique for simultaneous detection of O_2 and CO_2

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Chinese Science Bulletin 1997年第14期42卷 1175-1180页

作者： LIU Wenjun and ZHOU ZhongbaiDepartment of Chemistry, wuhan university, wuhan 4.0072, china Department of Chemistry Wuhan University Wuhan China

OXYGEN and carbon dioxide are the coexistent gases closely related to life processes. In our pre-

关键词： real-time and dynamic transduction technique carbon dioxide oxygen modulated potential pulse coulometry (MP-PC) modulated potential pulse amperometry (MPPA).

Dynamic scheduling model of computing resource based on MAS cooperation mechanism

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Science in china(Series F) 2009年第8期52卷 1302-1320页

作者： JIANG WeiJin1,2, ZHANG LianMei3 & WANG Pu4.1 School of Computer and Electronic Engineering, Hunan university of Commerce, Changsha 4.0205, china 2 School of Information Engineering, Xiangtan university, Xiangtan 4.1000, china 3 Electrical Engineering College, {4. university, {4. 4.0072, china 4.School of Commerce, Central South university, Changsha 4.0083, china 1. School of Computer and Electronic Engineering Hunan University of Commerce Changsha 410205 China 2. School of Information Engineering Xiangtan University Xiangtan 411000 China 3. Electrical Engineering College Wuhan University Wuhan 430072 China 4. School of Commerce Central South University Changsha 410083 China

Allocation of grid resources aims at improving resource utility and grid application performance. Currently, the algorithms proposed for this purpose do not fit well the autonomic, dynamic, distributive and heterogeneous features of the grid environment. According to MAS （multi-agent system） cooperation mechanism and market bidding game rules, a model of allocating allocation of grid resources based on market economy is introduced to reveal the relationship between supply and demand. This model can make good use of the studying and negotiating ability of consumers＇ agent and takes full consideration of the consumer＇s behavior, thus rendering the application and allocation of resource of the consumers rational and valid. In the meantime, the utility function of consumer is given; the existence and the uniqueness of Nash equilibrium point in the resource allocation game and the Nash equilibrium solution are discussed. A dynamic game algorithm of allocating grid resources is designed. Experimental results demonstrate that this algorithm diminishes effectively the unnecessary latency, improves significantly the smoothness of response time, the ratio of throughput and resource utility, thus rendering the supply and demand of the whole grid resource reasonable and the overall grid load balanceable.

关键词： multi-agent system (MAS) resource scheduling model evolutionary game cooperation mechanism utility function

Synthesis of todorokite by refluxing process and its primary characteristics

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Science china Earth Sciences 2004年第8期47卷 760-768页

作者： FENG Xionghan1, LIU Fan1, TAN Wenfeng1, LIU Xiangwen2 & HU Hongqing1 1. College of Resources and Environment, Huazhong Agricultural university, wuhan 4.0070, china 2. Testing Center, china university of geosciences, wuhan 43.074, china 1. College of Resources and Environment Huazhong Agricultural University 430070 Wuhan China 2. Testing Center China University of Geosciences 430074 Wuhan China

Single phase and well-crystallined todorokite were synthesized by heating and refluxing process from birnessite as a precursor. The average chemical composition of the synthesized todorokites by refluxing for 8 h and for 24.h was Mg0.19MnO2.11(H2O)1.15 and in0.17-MnO2.10(H2O)0.88, respectively. The crystallinity of the todorokite increased and no other phase was produced with increasing refluxing period. The synthesized todorokites have the same morphologies and the similar structural characteristics with the natural todorokites and hydro-thermally synthesized samples. The chemical compositions of the synthetic tordorokites by refluxing process are close to those of todorokites synthesized by hydrothermal process, except a higher average oxidation state of Mn for the former.

关键词： todorokite,birnessite,manganese oxide,refluxing,hydrothermal,synthesis.