GLOBAL_ATTRACTOR

作品数:133被引量:199H指数:8
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相关作者:向新民黄建华谌德周婷童筱青更多>>
相关机构:上海师范大学国防科学技术大学华中师范大学云南大学更多>>
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Regularity of Global Attractor for Atmospheric Circulation Equations with Humidity Effect
《Acta Mathematicae Applicatae Sinica》2019年第4期820-829,共10页Jiao-jiao PAN Qian JIANG Ting-wei RUAN Hong LUO 
Supported by the National Natural Science Foundation of China(No.11701399)
In this article, regularity of the global attractor for atmospheric circulation equations with humidity effect is considered. It is proved that atmospheric circulation equations with humidity effect possess a global a...
关键词:global ATTRACTOR REGULARITY atmospheric CIRCULATION EQUATIONS humidity effect 
Regularity of the Attractor for 3-D Complex Ginzburg-Landau Equation被引量:2
《Acta Mathematicae Applicatae Sinica》2011年第2期289-302,共14页Dong-long Li Bo-ling Guo Xu-hong Liu 
Supported by the NationalNatural Science Foundation of China(No.11061003);Guangxi Natural Science Foundation Grant(No.0832065);Guangxi excellent talents funded project(No.0825)
In this paper, the existence of global attractor for 3-D complex Ginzburg Landau equation is considered. By a decomposition of solution operator, it is shown that the global attractor .Ai in Hi(Ω) is actually equal...
关键词:Ginzburg-Landau equation regularity of global attractor 
Attractors for Discrete Nonlinear Schrdinger Equation with Delay被引量:9
《Acta Mathematicae Applicatae Sinica》2010年第4期633-642,共10页Tao Chen Sheng-fan Zhou Cai-di Zhao 
Supported by the National Natural Science Foundation of China (No.10771139,10826091);the Natural Science Foundation of Wenzhou University with item (No.2007L024);the Innovation Program of Shanghai Municipal Education Commission (No.08ZZ70);Leading Academic Discipline Project of Shanghai Normal University(No.DZL707);Foundation of Shanghai Normal University (No.DYL200803,PL715);Natural Science Foundation of Zhejiang Province (No.Y6080077)
In this paper,we first prove the existence of the global attractor Aν ∈ C([-ν,0],2)(ν 0) for a weak damping discrete nonlinear Schrdinger equation with delay.Then we consider an upper semi-continuity of Aν as...
关键词:Discrete Schrdinger equation DELAY global attractor upper semi-continuity 
A Class Hermite Pseudospectral Approximate with ω(x) ≡ 1 and Application to Reaction-diffusion Equation被引量:2
《Acta Mathematicae Applicatae Sinica》2010年第3期405-414,共10页Xin-min Xiang 
Supported by the National Natural Sciences Foundation of China (No. 10771142) and (No. 10671130)
In this paper, we continue the discussion of [12] to establish the Hermite pseudospectral method with weight ω(x) = 1. As an application, we consider the pseudospectral approximation of the reaction-diffusion equat...
关键词:Hermite pseudospectral method Hermite function system which the weight is 1 Reaction-diffusionequation Global attractor Error estimate 
Homoclinic and Heteroclinic Flows in Global Attractor for Davey-stewartson Ⅱ Equation
《Acta Mathematicae Applicatae Sinica》2008年第4期599-612,共14页Zheng-de Dai Shao-lin Li 
Supported by the National Natural Science Foundation of China(No.10361007,10661002);Yunnan Natural Science Foundation Grant No.2006A0082M.
By the variable transformation and generalized Hirota method, exact homoclinic and heteroclinic solutions for Davey-Stewartson II (DSII) equation are obtained. For perturbed DSII equation, the existence of a global ...
关键词:Persistence Homoclinic And Heteroclinic Flows Attractor Davey-Stewarson equation 
Upper Semicontinuity and Kolmogorov ε-Entropy of Global Attractor for κ-Dimensional Lattice Dynamical System Corresponding to Klein-Gordon-SchrSdinger Equation
《Acta Mathematicae Applicatae Sinica》2006年第3期469-486,共18页Fu-qi Yin Sheng-fan Zhou 
Supported by thc National Natural Science Foundation of China (No.10471086). Acknowledgements. The authors thank the reviewers very much for their useful suggestions and comments.
In this paper, we establish the existence of a global attractor for a coupled κ-dimensional lattice dynamical system governed by a discrete version of the Klein-Gordon-SchrSdinger Equation. An estimate of the upper b...
关键词:Global attractor lattice dynamical system element decomposition Kolmogorov ε-entropy upper semicontinuity 
The Inflated Attractors of Non-autonomous Strongly Damped Wave Equations
《Acta Mathematicae Applicatae Sinica》2004年第4期547-556,共10页Xiao-mingFan Sheng-fanZhou 
We investigate the existence and the continuity of the inflated attractors for a class of non–autonomous strongly damped wave equations through differential inclusion.
关键词:ε –inflated system global attractor setvalued process 
Finite Dimensional Behavior for Forced Nonlinear Sobolev-Galpern Equations被引量:1
《Acta Mathematicae Applicatae Sinica》2004年第2期247-256,共10页Ya-dongShang Bo-lingGuo 
Supported by the National Natural Science Foundation of China (No.10271034)
This paper deals with the asymptotic behavior of solutions for the nonlinear Sobolev-Galpernequations.We first show the existence of the global weak attractor in H^2(Ω)∩H_0~1(Ω) for the equations.Andthen by an ener...
关键词:Nonlinear Sobolev-Galpern equations asymptotic behavior global attractor energy equation weak continuity 
Well-posedness and Global Attractors for the Burgers-Ginzburg-Landau Equations
《Acta Mathematicae Applicatae Sinica》2002年第4期579-588,共10页Bo-ling Guo, Hai-yang HuangCenter of Nonlinear Studies, Institute of Applied Physics and Computational Mathematics. P.O. Box 8009. Beijing 100088, ChinaDepartment of Mathematics. Beijing Normal University, Beijing 100875, China 
the Scientific Research Foundation for Returned Overseas Chinese Scholars. State Education Commission.
In this paper we consider the Burger-Ginzburg-Landau equations, and prove the existence of the global attractor in with finite Hausdorff and fractal dimensions.
关键词:Burger-Ginzbur-Landau equations Mild solution Hausdorff and fractal dimensions. Global attractor 
Regularity of the Attractor for the Dissipative Hamiltonian Amplitude Equation Governing Modulated Wave Instabilities被引量:3
《Acta Mathematicae Applicatae Sinica》2002年第2期263-272,共10页Zheng-de DaiDepartment of Mathematics, Yunnan University, Kunming 650091, China 
Supported by the National Natural Science Foundation of China (No.19861004)
In the present paper, the existence of global attractor for dissipative Hamiltonian amplitude equation governing the modulated wave instabilities in E0 is considered. By a decomposition of solution operator, it is sho...
关键词:Regularity of Global attractor Hamiltonian amplitude equation 
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