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非自治格点系统与非牛顿流体方程组的渐近行为
  • 项目名称：非自治格点系统与非牛顿流体方程组的渐近行为
  • 项目类别：面上项目
  • 批准号：10771139
  • 申请代码：A010704
  • 项目来源：国家自然科学基金
  • 研究期限：2008-01-01-2010-12-31
  • 项目负责人：周盛凡
  • 负责人职称：教授
  • 依托单位：上海师范大学
  • 批准年度：2007
中文摘要：

研究一般非自治动力系统的核截面与吸引子的存在性及其有关性质的刻画方法,探讨新的思想与工具。研究自治格点动力系统的整体吸引子的维数的界的估计和非自治格点系统、时滞格点系统、随机格点系统、非自治非牛顿流体力学方程组的吸引子/核截面的存在性与正则性、稳定性、半连续性、几何结构等性质。研究几类生物数学中的连续性模型和离散性模型的解的动力学行为。研究系统的动力学行为与系统的参数之间的关系，并进行数值模拟。这有助于我们更好地认识和理解非自治动力系统的状态的演化规律。

中文主题词： 非自治格点系统；非牛顿流体方程； 吸引子；核截面；生物数学模型
结论摘要：

英文主题词Non-autonomous lattice system; non- Newtonian fluid equations; attractor; kernel section; model of biologic mathematics.

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  • 期刊论文
  • 会议论文
  • 专利
  • 获奖
  • 著作
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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
格点系统存在指数吸引子的充分条件及应用
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
Uniform attractors for non-autonomous Klein-Gordon-Schrodinger 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
齐次Neumann边界条件下反应扩散方程的零维全局吸引子
二维Navier—Stokes方程组的H1一致吸引子
Global Attractors and Asymptotic Smoothing Effect for Navier-Stokes Equations with Linear Damping on R^2
FRACTAL DIMENSION OF GLOBAL ATTRACTORS FOR SOME DISSIPATIVE LATTICE SYSTEMS
强阻尼的半线性波动方程全局吸引子的Hausdorff维数
具有粘弹性和热粘弹性方程组的全局周期吸引子
EXISTENCE AND REGULARITY OF PULLBACK ATTRACTORS FOR AN INCOMPRESSIBLE NON-NEWTONIAN FLUID WITH DELAY
Compact kernel sections for lattice systems with delays
Dimension of kernel sections for damped nonautonomous wave equations with critical exponent
Sufficient conditions for the existence of global random attractors for stochastic lattice dynamical
关于耗散格点系统全局吸引子的分形维(英文)
Attractor for lattice system of dissipative Zakharov equation
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