GLOBAL_ATTRACTOR

作品数：133被引量：199H指数：8
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关于全局吸引子的一个新的存在性定理以及它对于非经典扩散方程的应用
《Chinese Quarterly Journal of Mathematics》2023年第3期276-289,共14页QIN Yu-ming CHEN Jia-le JIANG Hui-te 
Supported by the NNSF of China(Grant No.12171082);The fundamental research funds for the central universities(Grant Nos.2232022G-13 and 2232023G-13);by a grant from Science and Technology Commission of Shanghai Municipality。
In this paper,we first survey existed theorems and propose all 46 related open problems of the existence of global attractors for autonomous dynamical systems,then establish a new existence theorem of global attractor...
关键词：Nonclassical diffusion equations Norm-to-weak continuity Global attractor 
Global Attractor for High-dimensional Spacially Discrete FitzHugh-Nagumo System in Weighted Space
《Chinese Quarterly Journal of Mathematics》2020年第3期255-277,共23页YIN Fu-qi JIANG Hong JIN Meng-zhao LIU Zhi-qi 
Supported by The Scientic Research Foundation Funded by Hunan Provincial Education Department under grant 19A503;Partially supported by Hunan Provincial Exploration of Undergraduate Research Learning and Innovative Experiment Project:2018XTUSJ008;Hunan Provincial Natural Science Foundation of China under grant 2015JJ2144.
In this paper,We study the global attractor and its properties on in nite lattice dynamical system FitzHugh-Nagumo in a weighted space lσ^2×lσ^2.We prove the existence and uniqueness of the solution to the lattice ...
关键词：Global attractor FitzHugh-Nagumo equation High-dimensional discretiza-tion Weighted space 
Global Behavior of Nonnegative Solutions to a Higher Order Difference Equation被引量：1
《Chinese Quarterly Journal of Mathematics》2012年第2期280-285,共6页SHI Qi-hong YANG Jian-wei WANG Chang-you 
Supported by the Science and Technology Project of Chongqing Municiple Education Commission(KJ110501);Supported by the Research Initiation Project for High-level Talents of North China University of Water Resources and Electric Power(201035);Supported by the NSF of the Hebei Higher Education Institutions(Z2011111)
This paper is concerned with the following nonlinear difference equation:x_(n+1)=sum from i=1 to l A_(s_i)x_(n-s_i)/B+C multiply from j=1 to k x_(n-t_j) +D_x_n,n=0,1,…(1.1).The more simple suffcient conditions of asy...
关键词：local stability difference equation equilibrium point global attractor 
The Existence of Global Attractor for Zakharov Equations Arising from Ion-acoustic Modes
《Chinese Quarterly Journal of Mathematics》2011年第3期470-474,共5页FANG Shao-mei QIU Hua GUO Bo-ling 
Supported by the National Natural Science Foundation of China（10871075）; Supported by the Natural Science Foundation of Guangdong Province（9151064201000040 9451027501002564）
In this paper,we consider the initial-boundary problem for Zakharov equations arising from ion-acoustic modes and obtain the existence of global attractor for the initialboundary problem for Zakharov equations.
关键词：Zakharov equations initial-boundary problem priori estimate global attractor 
Global Attractors and Asymptotic Smoothing Effect for Navier-Stokes Equations with Linear Damping on R^2
《Chinese Quarterly Journal of Mathematics》2009年第3期445-452,共8页赵才地 李用声 周盛凡 
Supported by Natural Science Foundation of China(10771074;10771139);Supported by the NSF of Wenzhou University(2007L024);Supported by the NSF of Zhejiang Province(Y6080077)
This paper studies the long time behavior of solutions to the Navier-Stokes equations with linear damping on R^2. The authors prove the existence of L^2-global attractor and Hi-global attractor by showing that the cor...
关键词：Navier-Stokes equations global attractor asymptotic smoothing effect linear damping 
Global Attractors of Strong Solution for the Generalized Kuramoto-Sivashinsky Equation
《Chinese Quarterly Journal of Mathematics》2008年第1期75-82,共8页王素云 牟录贵 张艳红 
the NNSF of China(107711597);the NNSF of Gansu(3ZS041A25-006)
Using a new method developed in [5], we prove the existence of global attractors for the Generalized Kuramoto-Sivashinsky equation in H^3per（Ω） and H^4per（Ω）.
关键词：generalized Kuramoto-Sivashinsky equation strong solution global attractor 
Attractor for a Fourth-order Equation in the Whole Line
《Chinese Quarterly Journal of Mathematics》2006年第2期229-235,共7页ZHAO Cai-di LI Yong-sheng 
Supported by the Natural Science Foundation of China(10001013);Supported by the NSF Zhejiang Province(M103043);Supported by NSF of Wenzhou Normal College NSF(2003Y16)
This paper studies the long time behavior of the following Cauchy problem δu/δt＋σδ^4u/δx^4＋ru＋uδu/δx=f,x∈R,t〉0,The authors prove the existence of global attractor by showing the corresponding operator semi...
关键词：global attractor fourth-order equations whole line 
Global Attractor of a Reaction-diffusion System with Hamiltonian Structure被引量：1
《Chinese Quarterly Journal of Mathematics》2001年第1期33-37,共5页黄建华 
SupportedbyNationalNatureScienceFoundationofChina( 199710 3 2 )
In this paper, we consider a reaction diffusion system with Hamitonian structure, we first prove the existence of an invariant region for system and the continuity of the semigroup, then establish the absorbing sets ...
关键词：invariant region absorbing sets global attractor 
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