Wang, Lulu; Ma, Qiaozhen Global attractors of coupled suspension bridge equations with nonlocal weak damping term. (Chinese. English summary) Zbl 1474.35126 J. Sichuan Univ., Nat. Sci. Ed. 58, No. 2, 021006-1-10 (2021). Summary: 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 \(\{S (t)\}_{t \ge 0}\) is obtained. Then the asymptotic smoothness of the solution semigroup \(\{S (t)\}_{t \ge 0}\) 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. MSC: 35B41 Attractors 37L30 Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems Keywords:coupled suspension bridge equation; nonlocal weak damping; global attractor PDFBibTeX XMLCite \textit{L. Wang} and \textit{Q. Ma}, J. Sichuan Univ., Nat. Sci. Ed. 58, No. 2, 021006--1-10 (2021; Zbl 1474.35126) Full Text: DOI