Pullback attractors for non-autonomous porous elastic system with nonlinear damping and sources terms

被引：10
|
作者：
Freitas, Mirelson M. [1 ]
机构：
[1] Fed Univ Para, Dept Math, Raimundo Santana St S-N, BR-68721000 Salinopolis, PA, Brazil
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2020年 / 43卷 / 02期
关键词：
non-autonomous dynamical system; nonlinear damping; porous elastic system; pullback attractors; sources terms; upper-semicontinuity; WAVE-EQUATIONS; DYNAMICS;
D O I：
10.1002/mma.5921
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the asymptotic behavior of a non-autonomous porous elastic systems with nonlinear damping and sources terms. By employing nonlinear semigroups and the theory of monotone operators, we establish existence and uniqueness of weak and strong solutions. We also prove the existence of minimal pullback attractors with respect to a universe of tempered sets defined by the sources terms. Finally, we prove the upper-semicontinuity of pullback attractors with respect to non-autonomous perturbations.
引用
收藏
页码：658 / 681
页数：24
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