Long-time Dynamics for Thermoelastic Bresse System of Type Ⅲ
Long-time Dynamics for Thermoelastic Bresse System of Type Ⅲ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.