| Volume 14, Number 4, 2024, Pages - DOI：10.11948/JAAC-2023-0381 |
| Existence of the generalized exponential attractor for coupled suspension bridge equations with double nonlocal terms |
| Lulu Wang,Qiaozhen Ma |
| Keywords:Coupled suspension bridge equations double nonlocal terms global attractor generalized exponential attractor. |
| Abstract: |
| We investigate the long-time dynamical behavior of coupled suspension bridge equations with double nonlocal terms by using the quasi-stable methods. We first establish the well-posedness of the solutions by means of the monotone operator theory. Secondly, the dissipation of solution semigroup is obtained, and then, the asymptotic smoothness of solution semigroup is verified by the energy reconstruction method; ultimately, we prove the existence of global attractor. Finally, we show the existence of the generalized exponential attractor. |
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