位置：成果数据库 > 期刊 > 期刊详情页
格点系统存在指数吸引子的充分条件及应用
  • ISSN号：0583-1431
  • 期刊名称：数学学报
  • 时间：0
  • 页码：233-242
  • 语言：中文
  • 分类：O175.8[理学—数学;理学—基础数学]
  • 作者机构：[1]温州大学数学与信息科学学院,温州325035, [2]华中科技大学数学与统计学院,武汉430074, [3]上海师范大学应用数学系,上海200444
  • 相关基金：国家自然科学基金资助项目（10901121,10826091,10771139）;浙江省自然科学基金资助项目（Y6080077）;温州大学青年基金项目（2008YYLQ01）
  • 相关项目：非自治格点系统与非牛顿流体方程组的渐近行为
作者： 赵才地|周盛凡|
关键词： 指数吸引子, 格点系统, 非线性SCHRODINGER方程, exponential attractor, lattice systems, nonlinear SchrSdinger equations
中文摘要：

本文给出了一般格点动力系统存在指数吸引子的充分条件，然后将得到的结果应用到下面的格点非线性Schrodinger方程：ium-γ（2um-um＋1-um-1）＋ikum＋δ｜um｜^2σum=gm,m∈Z.设γ，κ，δ，σ和gm满足适当的条件，证明了该格点方程存在指数吸引子．

英文摘要：

We first recast some sufficient conditions for the existence of exponential attractors for general lattice dynamical systems. Then we apply the result to the following nonlinear SchrSdinger equations on infinite lattices：ium-γ（2um-um＋1-um-1）＋ikum＋δ｜um｜^2σum=gm,m∈Z. Under some conditions on γ,κ,δ,σ and gm the existence of exponential attractors is established.

同期刊论文项目
一类非牛顿流方程组解的渐近行为的若干问题
期刊论文 19
不可压非牛顿流体力学方程组的吸引子
期刊论文 2
非自治格点系统与非牛顿流体方程组的渐近行为
期刊论文 44
同项目期刊论文
COMPACT KERNEL SECTIONS FOR DISSIPATIVE NON-AUTONOMOUS ZAKHAROV EQUATION ON INFINITE LATTICES
一类随机格点系统的随机吸引子
具强阻尼的随机sine-Gordon方程的随机吸引子存在性
Klein-Gordon-Schrdinger格点系统全局吸引子的分形维数
非自治Klein-Gordon-Schrdinger格点动力系统的一致吸引子
Existence of traveling wavefronts in a cooperative systems with discrete delays
Regularity of trajectory attractor and upper semicontinuity of global attractor for a 2D non-Newtoni
具有可加白噪音的耦合系统的同步(英文)
Attractors for Discrete Nonlinear Schrodinger Equation with Delay
One-dimensional random attractor and rotation number of the stochastic damped sine-Gordon equation
Upper semicontinuity of attractors for lattice systems under singular perturbations
SYNCHRONIZATION OF COUPLED STOCHASTIC SYSTEMS WITH MULTIPLICATIVE NOISE
Traveling wavefronts of a prey-predator diffusion system with stage-structure and harvesting
n维耦合振子格点系统的同步性
Attractor for lattice system of dissipative Zakharov equation
关于耗散格点系统全局吸引子的分形维(英文)
Sufficient conditions for the existence of global random attractors for stochastic lattice dynamical
Dimension of kernel sections for damped nonautonomous wave equations with critical exponent
Compact kernel sections for lattice systems with delays
EXISTENCE AND REGULARITY OF PULLBACK ATTRACTORS FOR AN INCOMPRESSIBLE NON-NEWTONIAN FLUID WITH DELAY
Uniform attractors for non-autonomous Klein-Gordon-Schrodinger lattice systems
具有粘弹性和热粘弹性方程组的全局周期吸引子
强阻尼的半线性波动方程全局吸引子的Hausdorff维数
FRACTAL DIMENSION OF GLOBAL ATTRACTORS FOR SOME DISSIPATIVE LATTICE SYSTEMS
Pullback trajectory attractors for evolution equations and application to 3D incompressible non-Newt
Synchronization slaved by partial-states in lattices of non-autonomous coupled Lorenz equation
On the discrete-time multi-species competition-predation system with several delays
A NOTE ON NONAUTONOMOUS KLEIN-GORDON-SCHRODINGER EQUATIONS WITH HOMOGENEOUS DIRICHLET BOUNDARY CONDI
Permanence of species in nonautonomous discrete Lotka-Volterra competitive system with delays and fe
Theorems about the attractor for incompressible non-Newtonian flow driven by external forces that ar
Uniform attractor for a two-dimensional nonautonomous incompressible non-Newtonian fluid
Finite dimensionality and upper semicontinuity of compact kernel sections of non-autonomous lattice
Kernel sections for processes and nonautonomous lattice systems
Compact uniform attractors for dissipative lattice dynamical systems with delays
H-1-Uniform attractor and asymptotic smoothing effect of solutions for a nonautonomous micropolar fl
Permanence and global stability in a discrete n-species competition system with feedback controls
Limit behavior of global attractors for the complex Ginzburg-Landau equation on infinite lattices
Compact kernel sections of long-wave-short-wave resonance equations on infinite lattices
On non-autonomous strongly damped wave equations with a uniform attractor and some averaging
Global Attractors and Asymptotic Smoothing Effect for Navier-Stokes Equations with Linear Damping on R^2
二维Navier—Stokes方程组的H1一致吸引子
齐次Neumann边界条件下反应扩散方程的零维全局吸引子
Convergence of global attractor of 2D non-Newtonian system to global attractor of 2D Navier-Stokes s
Random attractor for the Ladyzhenskaya model with additive noise
二维Navier-Stokes方程组的H^1一致吸引子
Random attractor for incompressible non-Newtonian fluid with multiplicative noise
格点系统存在指数吸引子的充分条件与应用
Uniform attractor for nonautonomous incompressible non-Newtonian fluid with a new class of external
Remarks on the H^4-boundedness of pullback attractor for 2D non-Newtonian fluid flow
自治耦合格点非线性 Schrodinger 方程组的一致吸引子及熵的估计
Approximation of the incompressible non-Newtonian fluid equations by the artificial compressibility
Existence and smoothness of uniform attractors for a non-Newtonian fluid on 2D unbounded domains
Pullback asymptotic behavior of solutions fora non-autonomous non-Newtonian fluid on 2D unbounded do
Global attractor and Kolmogorov entropy of three component reversible Gray-Scott model on infinite l
Upper semicontinuity of global attractor for Navier-Stokes equations
Approximation of the incompressible convective Brinkman Forchheimer equations,
The existence of uniform attractors for 3D Brinkman-Forhheimer equations
二维Navier—Stokes方程组的H1一致吸引子
非自治耗散Schrodinger-Boussinesq方程组紧致核截面的存在性
基于DEA效益不变性原则的新型固定成本分配方法
二维Navier—Stokes方程组的H1一致吸引子
期刊信息
  • 《数学学报》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国科学院数学与系统科学研究院数学研究院
  • 主编：李炳仁
  • 地址：北京市海淀区中关村东路55号
  • 邮编：100080
  • 邮箱：Actamath@amss.ac.cn
  • 电话：010-62551910
  • 国际标准刊号：ISSN：0583-1431
  • 国内统一刊号：ISSN：11-2038/O1
  • 邮发代号:2-502
  • 获奖情况:
  • 1996年中科院优秀科技期刊二等奖,1997年全国优秀科技期刊二等奖,2000年中科院优秀科技期刊二等奖
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,荷兰文摘与引文数据库,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:9981