带非局部弱阻尼项的耦合吊桥方程的全局吸引子  

Global attractors of coupled suspension bridge equations with nonlocal weak damping term

作　　者：王露露 马巧珍 WANG Lu-Lu;MA Qiao-Zhen(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,China)

机构地区：[1]西北师范大学数学与统计学院,兰州730070

出　　处：《四川大学学报（自然科学版）》2021年第2期39-48,共10页Journal of Sichuan University(Natural Science Edition)

基　　金：国家自然科学基金(11961059,11761062)。

摘　　要：本文研究了带有非局部弱阻尼项的耦合吊桥方程解的长时间动力学行为.本文首先利用单调算子理论建立了解的适定性,获得了解半群{S(t)}_(t≥0)的耗散性,然后通过能量重建法验证了解半群{S(t)}t≥0的渐近光滑性,进而证明了带有非局部弱阻尼项的耦合吊桥方程全局吸引子的存在性.We investigate the long-time dynamical behavior of coupled suspension bridge equations with nonlocal weak damping term. Firstly, we establish the well-posedness of the solutions based on the monotone operator theory. Secondly, the dissipation of solution semigroup { S(t)} t≥0 is obtained. Then the asymptotic smoothness of the solution semigroup { S(t)} t≥0 is verified by the energy reconstruction method.Finally the existence of global attractors for the coupled suspension bridge equations with nonlocal weak damping term is proved.

关 键 词：耦合吊桥方程 非局部弱阻尼 全局吸引子 

分 类 号：O175.29[理学—数学]