Gromov-Hausdorff stability of global attractors for 3D Brinkman-Forchheimer equations

被引：2
|
作者：
Ai, Chengfei [1 ]
Tan, Zhong [2 ]
机构：
[1] Sichuan Univ, Sch Math, Chengdu 610064, Peoples R China
[2] Xiamen Univ, Sch Math Sci, Xiamen, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2022年 / 45卷 / 17期
基金：
中国国家自然科学基金;
关键词：
Brinkman-Forchheimer equations; global attractors; Gromov-Hausdorff distance; residual continuity; variation of domain; REACTION-DIFFUSION EQUATIONS; CONTINUOUS DEPENDENCE; UNIFORM ATTRACTORS; POROUS-MEDIUM; CONTINUITY; EXISTENCE; DYNAMICS; CONVERGENCE; PERTURBATIONS; FLOW;
D O I：
10.1002/mma.8440
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, using the Gromov-Hausdorff distances between two global attractors (which may be in disjoint phase spaces) and two semi-dynamical systems introduced by Lee et al. (2020), we consider the continuous dependence of the global attractors and the stability of the semi-dynamical systems on global attractors induced by the Brinkman-Forchheimer equation under variation of the domain. The results of this paper improve on previous results, which can compare any two systems in different phase spaces without the process of "pull-backing" the perturbed systems to the original domain.
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页码：11117 / 11133
页数：17
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