Attractors for Model of Viscoelastic Media with Memory Motion in Non-Autonomous Case

被引：0

作者：

Boldyrev, A. S. ^{[1
]}

Zvyagin, V. G. ^{[1
]}

机构：

[1] Voronezh State Univ, Lab Math Fluid Dynam, Res Inst Math, Voronezh 394018, Russia

来源：

LOBACHEVSKII JOURNAL OF MATHEMATICS | 2019年 / 40卷 / 07期

关键词：

viscoelastic medium with memory; weak solution; uniform trajectory attractor; uniform global attractor; existence theorem; DIFFERENTIAL-EQUATIONS; GLOBAL ATTRACTORS; DYNAMICS;

D O I：

10.1134/S1995080219070084

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study attractors existence of weak solutions to viscoelastic media with memory motion model in non-autonomous case. The theory of trajectory attractors for non-invariant trajectory spaces is applied and the existence of uniform trajectory attractor and uniform global attractor for this system is proved. The proof of existence theorems is based on the approximation-topological method.

引用

页码：918 / 937

页数：20

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