ATTRACTORS FOR DISCRETIZATION OF GINZBURG-LANDAU-BBM EQUATIONS

Mu-rong Jiang; Bo-ling Guo 20f

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ATTRACTORS FOR DISCRETIZATION OF GINZBURG-LANDAU-BBM EQUATIONS

机译：GINZBURG-LANDAU-BBM方程离散的吸引子

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摘要

In this paper, Ginzburg-Landau coupled with BBM equation with periodic initial boundary value conditions are discreted by the finite difference method in spatial direction. Existence of the attractors for the spatially discreted Ginzburg-Landau-BBM equations is proved. For each mesh size, there exist attractors for the discretized system. Moreover, finite Hausdorff and fractal dimensions of the discrete attractors are obtained And the bounds are independent of the mesh sizes.

机译：本文采用有限差分法在空间方向上离散Ginzburg-Landau耦合具有初始初始边值条件的BBM方程。证明了空间离散的Ginzburg-Landau-BBM方程吸引子的存在性。对于每种网格尺寸，存在离散化系统的吸引子。此外，获得了离散吸引子的有限Hausdorff和分形维数，并且边界与网格大小无关。

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来源
《Journal of Computational Mathematics》 |2001年第1期|p.195-204|共10页
作者
Mu-rong Jiang; Bo-ling Guo 20f;
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正文语种 eng
中图分类计算数学;
关键词
Attractor; Spatially discreted; Ginzburg-Landau-BBM equations;

机译：吸引者空间离散的;Ginzburg-Landau-BBM方程;

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专利

1. Attractors for generalized Ginzburg-Landau-BBM equations in an unbounded domain [J] . Jiang Murong, Guo Boling Acta Mathematicae Applicatae Sinica . 2001,第3期

机译：无界域中广义Ginzburg-Landau-BBM方程的吸引子
2. Exponential attractors of the ginzburg-landau-BBM equations in an unbounded domain [J] . Dai Zhengdi, Jiang Murong Acta Mathematicae Applicatae Sinica . 2001,第4期

机译：无界域中Ginzburg-landau-BBM方程的指数吸引子
3. ATTRACTORS FOR THE GINZBURG-LANDAU-BBM EQUATIONS IN AN UNBOUNDED DOMAIN [J] . Guo Boling, Jiang Murong Acta Mathematica Scientia . 2000,第1期

机译：无界域中的Ginzburg-Landau-BBM方程的吸引子
4. Spatial discretization of pullback attractors of nonautonomous difference equations [C] . P. Kloeden International Conference on Difference Equations . 2000

机译：非自治差分方程回调吸引子的空间离散化
5. Existence of Random Attractors of Stochastic Fractional Reaction-Diffusion Equations in Bounded Domains [D] . ?Attanasio, Ayla Jean 2020

机译：有界畴内随机分数反应扩散方程的随机吸引子存在
6. Upper Semicontinuity of Pullback Attractors for the 3D Nonautonomous Benjamin-Bona-Mahony Equations [O] . Xinguang Yang, Xiaosong Wang, Juntao Li, -1

机译：3D非自治Benjamin-Bona-Mahony方程的回撤吸引子的上半连续性
7. Pullback attractors and invariant measures for discrete Klein-Gordon-Schrödinger equations [O] . Caidi Zhao, Gang Xue, Grzegorz Łukaszewicz 2018

机译：离散Klein-Gordon-Schrödinger方程的回调吸引子和不变措施

ATTRACTORS FOR DISCRETIZATION OF GINZBURG-LANDAU-BBM EQUATIONS

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