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The Ergodicity of Stochastic Partial Differential Equations with Levy Jump

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Acta Mathematica Sinica,English Series 2011年第12期27卷 2415-2436页

作者： guo li zhou Zhen Ting HOU College of Mathematics and Statistics Chongqing University Chongqing 401331 P. R. China School of Mathematics Central South University Changsha 410075 P. R. China

In this article, the authors prove the uniqueness in law of a class of stochastic equations in infinite dimension, then we apply it to establish the existence and uniqueness of invariant measure of the generalized sto... 详细信息

关键词： Stochastic partial differential equation Levy processes

Transformations for the variable coefficient Ginzburg-Landau equation with symbolic computation

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The Journal of China Universities of Posts and Telecommunications 2006年第3期13卷 98-101页

作者： liU Jian-guo li Ye-zhou School of Science Beijing University of Posts and TelecommunicationsBeijing 100876 China

This article is devoted to seek the solutions of the variable coefficient Ginzburg-Landan （vcGL） equation. With the help of symbolic computation and a direct ansaeitz, four transformations, reduction of the vcGL equation to the standard and cylindrical nonlinear Schr＇odinger equation, which have been found as variety of analytic solutions were obtained. Substituting these solutions into those transformations, the corresponding analytic solutions for the vcGL were obtained.

关键词： transformations Ginzburg-Landau equation,symbolic computation variable coefficient

Noise Effect on the 2D Stochastic Burgers Equation

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Acta Mathematica Sinica,English Series 2024年第9期40卷 2065-2090页

作者： Zhao DONG Jiang Lun WU guo li zhou RCSDS Academy of Mathematics and Systems ScienceChinese Academy of SciencesBeijing 100190P.R.China Beijing Normal University-Hong Kong Baptist University United International College Zhuhai 519087P.R.China Guangdong Provincial Key Laboratory of Interdisciplinary Research and Application for Data Science(IRADS) UICZhuhai 519087P.R.China School of Statistics and Mathematics Chongqing University Key Laboratory of Nonlinear Analysis and Its Applications(Chongqing University) Ministry of EducationChongqing 400044P.R.China

By comprehensive utilizing of the geometry structure of 2D Burgers equation and the stochastic noise,we find the decay properties of the solution to the stochastic 2D Burgers equation with Dirichlet boundary ***,the e... 详细信息

关键词： 2D stochastic Burgers equation regularity

Ergodicity of 3D Stochastic Burgers Equation

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Acta Mathematica Sinica,English Series 2024年第2期40卷 498-510页

作者： Zhao DONG Jiang Lun WU guo li zhou RCSDS Academy of Mathematics and Systems ScienceChinese Academy of SciencesBeijing 100190P.R.China Department of Mathematics Computational FoundrySwansea UniversitySwansea SA18ENUK College of Mathematics and Statistics Chongqing UniversityChongqing 400044P.R.China

3D Burgers equation is an important model for *** is natural to expect the long-time behaviour for this hydrodynamics ***,there is no result about the long-time behaviour for this deterministic ***,if the system is perturbed by stochastic noise,we establish the existence and uniqueness of invariant measure for 3D stochastic Burgers equation.

关键词： 3D stochastic Burgers equations maximum principle ergodicity

Simulation of Gas Flow Field in Laval Nozzle and Straight Nozzle for Powder Metallurgy and Spray Forming

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Journal of Iron and Steel Research International 2008年第6期15卷 44-47页

作者： li Zheng-dong ZHANG guo-qing li zhou ZHANG Yong XU Wen-yong National Key Laboratory of High Temperature Structural Materials Beijing Institute of Aeronautical Materials Beijing 100095 China

Gas flow field in nozzles and out of nozzles was calculated for Laval orifice and straight orifice nozzles. The results showed that the flow generated by the Laval nozzle had a higher exit velocity in the vicinity of the nozzle, in comparison with that of the straight nozzle, that is to say, a Laval nozzle was more efficient than a straight one in disintegrating the melt stream and was apt to produce finer powders. The flow generated by the Laval nozzle was less convergent and the velocity gradient along the radial direction was more moderate than that of a straight nozzle, which could contribute to a broad distribution of melt particles. According to their flow characteristics, the Laval nozzle was reckoned as a better choice of producing larger spray-formed billets.

关键词： numerical simulation computational fluid dynamics gas flow field atomization nozzle

Exponential stability of stochastic generalized porous media equations with jump

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Applied Mathematics and Mechanics(English Edition) 2014年第8期35卷 1067-1078页

作者：郭柏灵周国立 Institute of Applied Physics and Computational Mathematics College of Mathematics and Statistics Chongqing University

Stochastic generalized porous media equation with jump is considered. The aim is to show the moment exponential stability and the almost certain exponential stability of the stochastic equation.

关键词： stochastic generalized porous media equation jump process stability

RESEARCH OF MICRO ELECTRO DISCHARGE MACHINING EQUIPMENT AND PROCESS TECHNIQUES

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Chinese Journal of Mechanical Engineering 2002年第2期15卷 177-181页

作者： li Yong guo Min li Fang zhou Zhaoying Department of Precision Instruments and Mechanology, Tsinghua University, Beijing 100084, China Department of Precision Instruments and Mechanology Tsinghua University 北京 100084

Micro electro discharge machining (micro EDM) is a feasible way tomanufacture micro structures and has potential application in advanced industrial fields. For therealization of micro EDM, it is necessary to pay careful attention to its equipment design and thedevelopment of process techniques. The present status of research and development of micro EDMequipment and process techniques is overviewed. A micro electro discharge machine incorporated withan inchworm type of micro feed mechanism is introduced, and a micro electro discharge machine fordrilling micro holes suitable to industrial use is also introduced. Some of the machiningexperiments carried out on the micro EDM prototypes are shown and the feasibility of the micro EDMtechnology to practical use is discussed.

关键词： Micro electro discharge machining Inchworm mechanism Friction drivemechanism Micro electrode Micro hole Micro structure

Images for diagnosis ：CD4＋CD56＋ hematodermic neoplasm in a child

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Chinese Medical Journal 2010年第3期123卷 379-381页

作者： guo Xia li Qiang zhou Chen-yan Department of Pediatric Hematology/Oncology West China Second University Hospital Sichuan University Chengdu Sichuan 610041 China

CD4＋CD56＋ hematodermic neoplasm （HN） is a rare, highly aggressive systemic neoplasm, which had been -described under various names including lymphoblastic lymphoma of natural killer （NK） phenotype, blastic NK cell lymphoma （BNK）, leukemic lymphoma of immature NK lineage and CD4＋CD56＋ HN. This malignancy is mainly involved in elderly people and usually a rapidly fatal disease, since consistently effective treatments have not yet been developed. It is relatively rare in children Herein we report a boy with CD4＋CD56＋ HN.

关键词： CD4+CD56+ hematodermic neoplasm blastic natural killer cell lymphoma children

Non-Metric CCD Camera Calibration Algorithm in a Digital Photogrammetry System

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Journal of China University of Mining and Technology 2006年第2期16卷 119-122页

作者： YANG Hua-chao DENG Ka-zhong ZHANG Shu-bi guo Guang-li zhou Ming School of Environment and Spatial lnformatics China University of Mining ＆ Technology Xuzhou Jiangsu 221008 China

Camera calibration is a critical process in photogrammetry and a necessary step to acquire 3D information from a 2D image. In this paper, a flexible approach for CCD camera calibration using 2D direct linear transformation （DLT） and bundle adjustment is proposed. The proposed approach assumes that the camera interior orientation elements are known, and addresses a new closed form solution in planar object space based on homogenous coordinate representation and matrix factorization. Homogeneous coordinate representation offers a direct matrix correspondence between the parameters of the 2D DLT and the collinearity equation. The matrix factorization starts by recovering the elements of the rotation matrix and then solving for the camera position with the collinearity equation. Camera calibration with high precision is addressed by bundle adjustment using the initial values of the camera orientation elements. The results show that the calibration precision of principal point and focal length is about 0.2 and 0.3 pixels respectivelv, which can meet the requirements of close-range photogrammetry with high accuracy.

关键词： direct linear transformation collinearity equation bundle adjustment camera calibration Hough transformation