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

[21] Asymptotic limits and stabilization for the 1D nonlinear Mindlin-Timoshenko system
F. D. Araruna
P. Braz E Silva
E. Zuazua
Journal of Systems Science and Complexity, 2010, 23 : 414 - 430
[22] ASYMPTOTIC LIMITS AND STABILIZATION FOR THE 1D NONLINEAR MINDLIN-TIMOSHENKO SYSTEM
F.D.ARARUNA
P.BRAZ E SILVA
E.ZUAZUA
JournalofSystemsScience&Complexity, 2010, 23 (03) : 414 - 430
[23] Asymptotic limits and stabilization for the 1D nonlinear Mindlin-Timoshenko system
Araruna, F. D.
Braz E Silva, P.
Zuazua, E.
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2010, 23 (03) : 414 - 430
[24] Decay of solution for a 2D irrotational Mindlin–Timoshenko plate system
Kaiqiang Li
Rui Xue
Caidi Zhao
Bulletin of the Malaysian Mathematical Sciences Society, 2023, 46
[25] Polynomial stability of a magneto-thermoelastic Mindlin–Timoshenko plate model
Marcio V. Ferreira
Jaime E. Muñoz Rivera
Zeitschrift für angewandte Mathematik und Physik, 2018, 69
[26] On the dissipative effect of a magnetic field in a Mindlin-Timoshenko plate model (vol 63, 1047, 2012)
Grobbelaar-Van Dalsen, Marie
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2017, 68 (06):
[27] On a model for the magnetoelastic vibrations of a perfectly conducting Mindlin-Timoshenko plate (vol 82, pg 112, 2021)
Grobbelaar, Marie
APPLICABLE ANALYSIS, 2021, 100 (02) : 464 - 464
[28] Polynomial decay rate of a thermoelastic Mindlin–Timoshenko plate model with Dirichlet boundary conditions
Marié Grobbelaar-Van Dalsen
Zeitschrift für angewandte Mathematik und Physik, 2015, 66 : 113 - 128
[29] On the convergence of the uniform attractor of 2D NS-α model to the uniform attractor of 2D NS system
Yue, Gaocheng
Zhong, Chengkui
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2010, 233 (08) : 1879 - 1887
[30] Pullback dynamics of 2D non-autonomous Reissner-Mindlin-Timoshenko plate systems
Feng, Baowei
Freitas, Mirelson M.
Ramos, Anderson J. A.
Dos Santos, Manoel J.
FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2025, : 718 - 749

← 1 2 3 4 5 →