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On the Burgers-Ginzburg-Landau Equations

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Communications in Nonlinear Science and Numerical Simulation 1998年第3期3卷 143-147页

作者： boling guo and {2. huang(Center of Nonlinear Studies. Institute of Applied Physics and Computationalmathematics, beijing, 100088. china)(Dept. of Math. beijing Normal university. beijing 100875. china)E-mail: hhywsg@*** Center of Nonlinear Studies Inst. Appl. Phys. and Compl. Math. Beijing 100088 China Dept. of Math. Beijing Normal University Beijing 100875 China

In this paper we consider the Burger-Ginzburg-Landau equations. and provethe existence of the global attractor in with finite Hausdorff and fractaldimensions.

关键词： Burger-Ginzbur-Landau equations mild solution global attractor hausdorff and fractal dimensions

The principle of relativity, kinematics and algebraic relations

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Science china(Physics,Mechanics & Astronomy) 2010年第4期53卷 591-597页

作者： guo HanYing1, huang ChaoGuang2.3, WU HongTu4 & ZHOU Bin5 1Institute of Theoretical Physics, Chinese Academy of Sciences, {2. 100190, china 2.nstitute of High Energy Physics, Chinese Academy of Sciences, {2. 100049, china 3Theoretical Physics Center for Science Facilities, Chinese Academy of Sciences, {2. 100049, china 4department of mathematics, Capital Normal university, {2. 100048, china 5department of Physics, {2. Normal university, beijing 100875, china Institute of Theoretical Physics Chinese Academy of Sciences Beijing China Institute of High Energy Physics Chinese Academy of Sciences Beijing China Theoretical Physics Center for Science Facilities Chinese Academy of Sciences Beijing China department of mathematics Capital Normal University Beijing China department of Physics Beijing Normal University Beijing China

Based on the relativistic principle and the postulate of universal invariant constants (c, l), all kinematic symmetries can be set up as the subsets of the Umov-Weyl-Fock-Hua transformations for the inertial motions. ... 详细信息

关键词： principle of relativity with (c l) Umov-Weyl-Fock-Hua transformations kinematics special relativity triple

Cosmological interpretation for the stochastic signal in pulsar timing arrays

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Science china(Physics,Mechanics & Astronomy) 2024年第4期67卷 43-50页

作者： Yu-Mei Wu Zu-Cheng Chen Qing-guo huang School of Fundamental Physics and Mathematical Sciences Hangzhou Institute for Advanced StudyUniversity of Chinese Academy of SciencesHangzhou 310024China School of Physical Sciences University of Chinese Academy of SciencesBeijing 100049China department of Astronomy Beijing Normal UniversityBeijing 100875China Advanced Institute of Natural Sciences Beijing Normal UniversityZhuhai 519087China department of Physics and Synergistic Innovation Center for Quantum Effects and Applications Hunan Normal UniversityChangsha 410081China CAS Key Laboratory of Theoretical Physics Institute of Theoretical PhysicsChinese Academy of SciencesBeijing 100190China

The pulsar timing array(PTA)collaborations have recently reported compelling evidence for a stochastic signal consistent with a gravitational-wave *** this paper,we combine the latest data sets from NANOGrav,PPTA,and EPTA to explore cosmological interpretations for the PTA signal from first-order phase transitions,domain walls,and cosmic strings,*** find that the domain wall model is strongly disfavored with the Bayes factors compared with the first-order phase transitions and cosmic strings being 1/90 and 1/189,respectively,breaking the degeneracy among these models in individual data *** also find that:(1)a strong phase transition at temperatures below the electroweak scale is favored,and the bubble collisions make the dominant contribution to the energy density spectrum;(2.a small reconnection probability p1.55×10^(-1)allowed by strings in(super)string theory is favored at the 95%confidence level,and ground-based detectors can further constrain the parameter space.

关键词： puslar timing arrays gravitational-wave background first-order phase transitions domain walls cosmic strings

Finite Dimensional Behavior of Global Attractors for Weakly Damping Ginzburg-Landau Equations Coupling with BBM Equations

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Communications in Nonlinear Science and Numerical Simulation 1998年第1期3卷 10-14页

作者： boling guo * and Murong JIANG + *(Institute of Applied Physics and Computational {2.,beijing,100088,china) +(department of {2.,Yunnan university,Kunming 650091,china) E mail:guobl@*** Inst. Appl. Phys. and Compl. Math. Beijing 100088 China department of mathematics Yunnan University Kunming 650091 China

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关键词： dimension attractor Ginzburg Landau equation couped BBM equationIntroduction

Travelling wave solutions of a generalized Camassa-Holm-Degasperis-Procesi equation

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Science china mathematics 2011年第3期54卷 555-572页

作者： DENG ShengFu1, guo boling2.& WANG TingChun2.3 1{2. of mathematics, Zhanjiang Normal university, Zhanjiang 52.048, china 2.nstitute of Applied Physics and Computational mathematics, beijing 100088, china 3 College of Math and Physics, Nanjing university of Information Science and Technology, Nanjing 2.0044, china department of mathematics Zhanjiang Normal University Zhanjiang China Institute of Applied Physics and Computational mathematics Beijing China College of Math and Physics Nanjing University of Information Science and Technology Nanjing China

The travelling wave solutions of a generalized Camassa-Holm-Degasperis-Procesi equation ut-uxxt + (1 + b)umux = buxuxx + uuxxx are considered where b > 1 and m are positive integers. The qualitative analysis methods of planar autonomous systems yield its phase portraits. Its soliton wave solutions, kink or antikink wave solutions, peakon wave solutions, compacton wave solutions, periodic wave solutions and periodic cusp wave solutions are obtained. Some numerical simulations of these solutions are also given.

关键词： homoclinic orbits heteroclinic orbits peakon wave solutions compacton wave solutions periodic cusp wave solutions

The attractor of the stochastic generalized Ginzburg-Landau equation

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Science china mathematics 2008年第5期51卷 955-964页

作者： guo boling~1 WANG guoLian~(2.) Li DongLong~3 1 Institute of Applied Physics and Computational mathematics,P.O.Box 8009,beijing 100088,china 2.The Graduate School of china Academy of Engineering Physics,P.O.Box 2.01,beijing 100088,china 3 department of Information and Computer Science,Guangxi university of Technology,Liuzhou 545006,china Institute of Applied Physics and Computational mathematics Beijing China The Graduate School of china Academy of Engineering Physics Beijing China department of Information and Computer Science Guangxi University of Technology Liuzhou China

The stochastic generalized Ginzburg-Landau equation with additive noise can be solved pathwise and the unique solution generates a random system. Then we prove the random system possesses a global random attractor in ... 详细信息

关键词： generalized Ginzburg-Landau equation random dynamical systems random attractor 35K05

Weak Periodic Solutions of Non-Newtonian Viscous Incompressible Fluids

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Communications in Nonlinear Science and Numerical Simulation 1999年第1期4卷 56-60页

作者： boling guo* and guoguang LTN** (Institute of Applied Physics and Computational mathematics, Be1Jing 100088, china) and guoguang LTN (Graduate School of china Academy of Engineering Physics, beijing 100088, china) + (department of mathematics, Yunnan Univ Inst. Appl. Phys. and Compl. Math. Beijing 100088 China Graduate School China Academy of Engineering Physics Beijing 100088 China department of mathematics Yunnan University Kunming 650091 China

The existence of weak periodic solution in time of non-Newtonian fluids with a time periodic forcing is established.

关键词： periodic solution weak periodic solution bipolar fluid

Implantable CMOS neuro-stimulus chip for visual prosthesis

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Science china(Information Sciences) 2011年第4期54卷 898-908页

作者： ZHANG Xu 1,PEI WeiHua 1,huang BeiJu 1,WANG ShuJing 1,GUAN Ning 1,guo Kai 1,WANG Yu 1,GUI Qiang 1,CHEN Jin 1,WANG Kai 2.WU HuiJuan 2.LI XiaoXin 2.LI Kai 3 & CHEN HongDa 1 1 State Key Laboratory on Integrated Optoelectronics,Institute of Semiconductors,Chinese Academy of Sciences,{2. 100083,china 2.department of Ophthalmology,People’s Hospital of Peking university,{2. 100044,china 3 department of Epidemiology and Biostatistics,Health Science Center,Peking university,{2. 100083,china State Key Laboratory on Integrated Optoelectronics Institute of Semiconductors Chinese Academy of Sciences Beijing China department of Ophthalmology People’s Hospital of Peking University Beijing China department of Epidemiology and Biostatistics Health Science Center Peking University Beijing China

A prototype chip with 2.2.pixels for implanting in blind patients affected by outer retinal degeneration is presented in this *** visual prosthesis chip imitates the degenerated photoreceptor cells,senses the incident light and stimulates the remaining healthy layers of retina or optic *** pixel integrates photodiode and stimulus pulse generator,converting the illumination on the eyes into 3-bit resolution bi-phasic current ***-chip charge cancellation modules are used to discharge each electrode site for tissue *** prototype chip is designed and fabricated in 0.18-μm N-well CMOS (complementary metal oxide semiconductor) 1P6M Mix-signal process,with a ±2.5 V dual voltage *** functionality of the fabricated chip is demonstrated on anesthetized *** responses in visual cortex are successfully evoked by the neuro-stimulus chip through an on-board trigger interface and flexible electrode.

关键词： biomedical microelectronics visual prosthesis functional electrical stimulation acute animal ex- periment electrical evoked potential (EEP) test

3D suitability evaluation of urban underground space using a variable weight method and considering ground restrictions

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Underground Space 2024年第6期19卷 208-226页

作者： Jian Pu Yu huang Yandong Bi Zhen guo Fei Deng Xingyue Li Chong Xu department of Geotechnical Engineering College of Civil EngineeringTongji UniversityShanghai 200092China The State Key Laboratory on Disaster Reduction in Civil Engineering Tongji UniversityShanghai 200092China Foshan Bureau of Geological Survey of Guangdong Province Foshan 52800China National Institute of Natural Hazards Ministry of Emergency Management of ChinaBeijing 100085China

The evaluation of urban underground space(UUS)suitability involves multiple *** weight to these indicators is crucial for accurate *** paper presents a method for spatially variable weight assignment of indicators using the order relation analysis method(G1-method),the entropy weight method,an improved grey relational analysis(GRA)and a set of spatial weight adjustment ***,the subjective and objective weights of indicators for engineering geological and hydrogeological conditions were determined by the G1-method and entropy weight method,respectively,and their combined weights were then obtained using the principle of minimum discriminatory *** study highlighted the impact of surface restrictions,such as buildings,on UUS,and the degree of the influence of these buildings gradually decreased with the increase in depth of the rock and soil mass in UUS,which resulted in changes in weights of indicators with *** address this issue,a coefficient was defined as the standardized value of the ratio of additional stress applied by restrictions to the self-weight stress of soil at the same depth to modify the combined weights so that all weights of indicators could vary in ***,an improved GRA was used to determine the suitability level of each evaluation cell using the maximum correlation *** method was applied to the 3D suitability evaluation of UUS in Sanlong Bay,Foshan City,Guangdong Province,china,including 16 evaluation *** study comprehensively considered the influence of multiple factors,thereby providing reference for evaluating the suitability of UUS in big cities.

关键词： 3D suitability evaluation Urban underground space Ground restriction Variable weight method Improved grey relational analysis