Upper semicontinuous attractor for 2D Mindlin-Timoshenko thermoelastic model with memory

被引：11

作者：

Fastovska, Tamara ^{[1
]}

机构：

[1] Kharkov Natl Univ, Dept Math & Mech, UA-61077 Kharkov, Ukraine

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2007年 / 6卷 / 01期

关键词：

thermoelasticity with memory; global attractors; fractal dimension; upper semicontinuity;

D O I：

10.3934/cpaa.2007.6.83

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A nonlinear problem for thermoelastic Mindlin-Timoshenko plate with hereditary heat conduction of Curtin-Pipkin type is considered here. We prove the existence of a compact global attractor whose fractal dimension is finite. The main aim of the work is to show the upper semicontinuity of the attractor as the relaxation time tends to zero.

引用

页码：83 / 101

页数：19

共 50 条

[31] Regularity of trajectory attractor and upper semicontinuity of global attractor for a 2D non-Newtonian fluid
Zhao, Caidi
Li, Yongsheng
Zhou, Shengfan
JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 247 (08) : 2331 - 2363
[32] An upper bound on the attractor dimension of a 2D turbulent shear flow in lubrication theory
Boukrouche, M
Lukaszewicz, G
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2004, 59 (07) : 1077 - 1089
[33] Global attractor for a smectic-A liquid crystal model in 2D
Liu A.
Liu C.
Bollettino dell'Unione Matematica Italiana, 2018, 11 (4) : 581 - 594
[34] UPPER BOUNDS ON THE DIMENSION OF THE GLOBAL ATTRACTOR OF THE 2D NAVIER-STOKES EQUATIONS ON THE β−PLANE
Farhat, Aseel
Kumar, Anuj
Martinez, Vincent R.
arXiv,
[35] Upper Semicontinuous Property of Uniform Attractors for the 2D Nonautonomous Navier-Stokes Equations with Damping
Yang, Xin-Guang
Li, Jun-Tao
ABSTRACT AND APPLIED ANALYSIS, 2013,
[36] Global attractor for a mathematical model of 2d magneto-viscoelastic flows
Liu, Aibo
Liu, Changchun
UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 2019, 81 (04): : 155 - 166
[37] On Global Attractor for 2D Kirchhoff-Boussinesq Model with Supercritical Nonlinearity
Chueshov, Igor
Lasiecka, Irena
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2011, 36 (01) : 67 - 99
[38] GLOBAL ATTRACTOR FOR A MATHEMATICAL MODEL OF 2D MAGNETO-VISCOELASTIC FLOWS
Liu, Aibo
Liu, Changchun
UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2019, 81 (04): : 155 - 166
[39] Memory-dependent derivative effect on 2D problem of generalized thermoelastic rotating medium with Lord–Shulman model
Mohamed I. A. Othman
Sudip Mondal
Indian Journal of Physics, 2020, 94 : 1169 - 1181
[40] Hertz-Mindlin problem for arbitrary oblique 2D loading: General solution by memory diagrams
Aleshin, V.
Van Den Abeele, K.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2012, 60 (01) : 14 - 36

← 1 2 3 4 5 →