Finite Fractal Dimensional Pullback Attractors for a Class of 2D Magneto-Viscoelastic Flows

被引：1
|
作者：
Ai, Chengfei [1 ]
Shen, Jun [2 ]
机构：
[1] Yunnan Univ, Sch Math & Stat, Kunming 650091, Yunnan, Peoples R China
[2] Sichuan Univ, Sch Math, Chengdu 610064, Sichuan, Peoples R China
来源：
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2024年 / 47卷 / 01期
关键词：
Magneto-viscoelastic flows; Pullback attractors; Fractal dimension; The method of l-trajectories; 35Q35; 35B41; 37L30; 76A10; EVOLUTIONARY MODEL; WELL-POSEDNESS; EXISTENCE; SYSTEM; WEAK;
D O I：
10.1007/s40840-023-01606-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, the long-time behaviors of weak solutions for the 2D non-autonomous magneto-viscoelastic flows are considered. Unlike the results established by Liu and Liu (Politeh Univ Buchar Sci Bull Ser A Appl Math Phys 81(4):155-166, 2019), utilizing the method of & ell;-trajectories introduced by M & aacute;lek and Pra & zcaron;& aacute;k (J Differ Equ 181(2):243-279, 2002), we first justify the existence of finite-dimensional pullback attractors for the process {L(t,tau)}t >=tau in the & ell;-trajectories space X-& ell;. Then we obtain the corresponding finite-dimensional pullback attractors for the process {U(t,tau)}(t >=tau) in the original phase space H.
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页数：31
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