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GLOBAL_ATTRACTOR: 作品数：133被引量：199H指数：8; 导出分析报告; 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>>; 相关期刊：《Journal of Meteorological Research》《Wuhan University Journal of Natural Sciences》《Journal of Donghua University(English Edition)》《Applied Mathematics and Mechanics(English Edition)》更多>>; 相关基金：国家自然科学基金广东省自然科学基金中国博士后科学基金教育部留学回国人员科研启动基金更多>>

Global Well-posedness and Global Attractor for Two-dimensional Zakharov-Kuznetsov Equation: 《Acta Mathematica Sinica,English Series》2020年第9期969-1000,共32页Min Jie SHAN; Supported by China Postdoctoral Science Foundation(Grant No.2019M650872);The author would like to express his deep gratitude to Professor Yoshio Tsutsumi,Professor Baoxiang Wang and Professor Liqun Zhang for their guidance and help.; The initial value problem for two-dimensional Zakharov-Kuznetsov equation is shown to be globally well-posed in H^s(R^2)for all 5/7; 关键词：Zakharov-Kuznetsov equation global well-posedness global attractor I-METHOD atomic spaces

Long-term Analysis of Degenerate Parabolic Equations in R^N: 《Acta Mathematica Sinica,English Series》2015年第3期383-410,共28页Gao Cheng YUE Cheng Kui ZHONG; supported by the Fundamental Research Funds for the Central Universities(Grant No.NS2014075); Longtime behavior of degenerate equations with the nonlinearity of polynomial growth of arbitrary order on the whole space RN is considered. By using-tra jectories methods, we proved that weak solutions generated by d...; 关键词：Degenerate parabolic equations unbounded domains locally uniform spaces global attractor Kolmogorov ε-entropy

The Global Attractor of a Non-Local PDE Model with Delay for Population Dynamics in Rn: 《Acta Mathematica Sinica,English Series》2011年第6期1121-1136,共16页Xiang LI Zhi Xiang LI; In this paper, we consider a non-local PDE model with delay for population dynamics in Rn. First, we prove the existence and uniqueness of weak solutions under some suitable decayed assumptions on non-local term at in...; 关键词：Non-local PDE model w-limit compact global attractor

Attractor for Lattice System of Dissipative Zakharov Equation被引量：4: 《Acta Mathematica Sinica,English Series》2009年第2期321-342,共22页Fu Qi YIN Sheng Fan ZHOU Zi Gen OUYANG Cui Hui XIAO; supported by National Natural Science Foundation of People's Republic of China (10771139);Partly supported by A Project Supported by Scientific Research Fund of Hu'nan Provincial Education on Department (08A070; 08A071); We consider the asymptotic behavior of solutions of an infinite lattice dynamical system of dissipative Zakharov equation. By introducing new weight inner product and norm in the space and establishing uniform estimat...; 关键词：Zakharov Equation global attractor infinite lattice system Kolmogorov ε-entropy uppersemicontinuity

The Existence of Global Attractors for 2D Navier-Stokes Equations in H^k Spaces被引量：2: 《Acta Mathematica Sinica,English Series》2009年第1期51-58,共8页Yin Di ZHANG Ling Yu SONG Tian MA; Supported by the NSF of China (Nos. 10571142, 10771167); In this paper, we prove that the 2D Navier-Stokes equations possess a global attractor in Hk（Ω,R2） for any k ≥ 1, which attracts any bounded set of Hk（Ω,R2） in the H^k-norm. The result is established by means o...; 关键词：Navier-Stokes equations semigroup of operator global attractor regularity of attractor

Exponential Attractor of the 3D Derivative Ginzburg-Landau Equation被引量：4: 《Acta Mathematica Sinica,English Series》2008年第5期809-828,共20页Shu Juan LU Qi Shao LU; the National Natural Science Foundation of China (Nos.10432010 and 10571010); In this paper, we consider a derivative Ginzburg-Landau-type equation with periodic initial-value condition in three-dimensional spaces. Sufficient conditions for existence and uniqueness of a global solution are obta...; 关键词：derivative Ginzburg-Landau equation global attractor exponential attractor Hausdorff dimension fractal dimension

Asymptotic Smoothing Effect of Solutions to Davey-Stewartson Systems on the Whole Plane被引量：2: 《Acta Mathematica Sinica,English Series》2007年第11期2043-2060,共18页Cai Di ZHAO Yong Sheng LI Sheng Fan ZHOU; Natural Science Foundation of China under grant numbers 10471047 and 10471086;Zhejiang Province Natural Science Foundation with item M103043;Natural Science Foundation of Guangdong Province of China under grant No.004020077; This paper discusses the Cauchy problem of elliptic-elliptic-type Davey-Stewartson systems with zero-order dissipation on R^2. Making use of the Fourier spectral projector, together with a long time comparison between...; 关键词：Davey-Stewartson systems asymptotic smoothing effect global attractor zero-order dissipation

Global Attractors for a Nonclassical Diffusion Equation被引量：21: 《Acta Mathematica Sinica,English Series》2007年第7期1271-1280,共10页Chun You SUN Su Yun WANG Cheng Kui ZHONG; Supported in part by the NSFC,Grant(10471056);Trans-Century Training Programme Foundation for the Talents of the State Education Commission; We prove the existence of global attractors in H0^1 （Ω） for a nonclassical diffusion equation. Two types of nonlinearity f are considered： one is the critical exponent, and the other is the polynomial growth of ar...; 关键词：nonclassical diffusion equation critical exponent polynomial growth of arbitrary order global attractor asymptotic a priori estimate

Kolmogorov's ε-Entropy of Bounded Sets in Discrete Spaces and Attractors of Dissipative Lattice Systems被引量：1: 《Acta Mathematica Sinica,English Series》2007年第2期313-320,共8页Sheng Fan ZHOU Qiu Li JIA Wei SHI; supported by the National Natural Science Foundation of China under Grants 10471086;the Science Foundation of He'nan Unversity of Science and Technology under Grant 2006QN024; We obtain an estimate of the upper bound for Kolmogorov＇s ε-entropy for the bounded sets with small ＂tail＂ in discrete spaces, then we present a sufficient condition for the existence of a global attractor for dis...; 关键词：Kolmogorov＇s ε-entropy discrete space dissipative lattice system global attractor

Exponential Attractors for the Generalized Ginzburg-Landau Equation被引量：4: 《Acta Mathematica Sinica,English Series》2000年第3期515-526,共12页Boling Guo Institute of Applied Physics and Computational Mathematics P.O.Box 8009,Beijing,100088,P.R.ChinaBixiang Wang Department of Mathematics,Brigham Young University,Provo,UT84602,USA; The author is supported by the Postdoctoral Foundation of China; In this paper,we establish the global fast dynamics for the derivative Ginzburg-Landau equation in two spatial dimensions.We show the squeezing property and the existence of fimte dimen- sional exponential attractors ...; 关键词：Global attractor Exponential attractor SEMIGROUP Ginzburg-Landau equation

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