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Long-time Dynamics for Thermoelastic Bresse System of Type Ⅲ

Long-time Dynamics for Thermoelastic Bresse System of Type Ⅲ

作     者:Fu Na Wang Chun-peng 

作者机构:School of Mathematics Southwest Jiaotong University Chengdu 610031 不详 

出 版 物:《Communications in Mathematical Research》 (数学研究通讯(英文版))

年 卷 期:2019年第35卷第2期

页      面:159-179页

核心收录:

学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基  金:The NSF(71273214) of China 

主  题:Bresse system quasi-stability global attractor fractal dimension exponential attractor 

摘      要:This paper considers the thermoelastic beam system of type Ⅲ with friction dissipations acting on the whole system. By using the methods developed by Chueshov and Lasiecka, we get the quasi-stability property of the system and obtain the existence of a global attractor with finite fractal dimension. Result on exponential attractors of the system is also proved.

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