Global attractors for Moore-Gibson-Thompson thermoelastic extensible beams and Berger plates

被引：0

作者：

Dell'Oro, Filippo ^{[1
]}

Liverani, Lorenzo ^{[2
]}

Pata, Vittorino ^{[1
]}

Quintanilla, Ramon ^{[3
]}

机构：

[1] Politecn Milan, Dipartimento Matemat, Piazza Leonardo Da Vinci 32, I-20133 Milan, Italy

[2] Friedrich Alexander Univ Erlangen Nurnberg, Dept Data Sci, Cauerstr 11, D-91058 Erlangen, Germany

[3] Univ Politecn Cataluna, Dept Matemat, C Colom 11, Terrassa 08222, Barcelona, Spain

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2025年 / 84卷

关键词：

Thermoelastic extensible beams and Berger plates; MGT heat conduction; Exponential decay; Absorbing set; Global attractor; EXPONENTIAL ATTRACTORS; UNIFIED PROCEDURE; DEFORMABLE MEDIA; CONSTRUCTION; RELAXATION; STABILITY; SYSTEM;

D O I：

10.1016/j.nonrwa.2024.104298

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For is an element of R, and ,,,,>0,we consider an abstract version of the system {u+(2)-(+||del||(2))=(+)+ +---=-(t) describing the dynamics of thermoelastic extensible beams or Berger plates, where the evolution of the temperature is ruled by a regularized Moore-Gibson-Thompson type equation. The existence of a global attractor of optimal regularity is proved.

引用

页数：14

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