Attractors for the 3D autonomous and nonautonomous Brinkman-Forchheimer equations

被引：0

作者：

Zhang, Lingrui ^{[1
]}

Su, Keqin ^{[2
]}

Wen, Shenglan ^{[3
]}

机构：

[1] Henan Normal Univ, Coll Educ & Teacher Dev, Xinxiang 453007, Peoples R China

[2] Henan Agr Univ, Informat & Management Sci, Zhengzhou 450046, Peoples R China

[3] Informat Engn Univ, Coll Sci, Zhengzhou 450001, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2016年

关键词：

Brinkman-Forchheimer equation; symbol; processes; uniform attractor; CONTINUOUS DEPENDENCE; UNIFORM ATTRACTORS; POROUS-MEDIUM; EXISTENCE; CONVERGENCE; LIMITATIONS; INTERFACE;

D O I：

10.1186/s13661-016-0519-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the large-time behavior such as the existence of attractors for the 3D autonomous and nonautonomous Brinkman-Forchheimer equations. By means of the decomposition method we overcome the difficulties for the existence of absorbing sets and asymptotical compactness of the semigroup generated by a global solution to prove the attractors for the autonomous Brinkman-Forchheimer equation. Under suitable assumptions on the external force sigma(t, x) and initial data u(tau)(x), we prove the existence of a uniform attractor for a 3D nonautonomous Brinkman-Forchheimer equation. Moreover, we apply the theory of weak continuity and weak convergence method to establish the asymptotical compactness of the processes.

引用

页码：1 / 18

页数：18

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