Quasi-stability and continuity of attractors for nonlinear system of wave equations
In this paper, we study the long-time behavior of a nonlinear coupled system of wave equations with damping terms and subjected to small perturbations of autonomous external forces. Using the recent approach by Chueshov and Lasiecka in [21], we prove that this dynamical system is quasi-stable by est...
| Үндсэн зохиолчид: | , , , , |
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| Формат: | Өгүүллэг |
| Хэл сонгох: | English |
| Хэвлэсэн: |
De Gruyter
2021-04-01
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| Цуврал: | Nonautonomous Dynamical Systems |
| Нөхцлүүд: | |
| Онлайн хандалт: | https://doi.org/10.1515/msds-2020-0125 |
| Тойм: | In this paper, we study the long-time behavior of a nonlinear coupled system of wave equations with damping terms and subjected to small perturbations of autonomous external forces. Using the recent approach by Chueshov and Lasiecka in [21], we prove that this dynamical system is quasi-stable by establishing a quasistability estimate, as consequence, the existence of global and exponential attractors is proved. Finally, we investigate the upper and lower semicontinuity of global attractors under autonomous perturbations. |
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| ISSN: | 2353-0626 |