Global attractors for Moore–Gibson–Thompson thermoelastic extensible beams and Berger plates
For is an element of R, and ,,,,>0,we consider an abstract version of the system {u+(2)-(+||del||(2))=(+)+ +---=-(t) describing the dynamics of thermoelastic extensible beams or Berger plates, where the evolution of the temperature is ruled by a regularized Moore-Gibson-Thompson type equation. The existence of a global attractor of optimal regularity is proved.
Authors
- R. Quintanilla (ORCID: https://orcid.org/0000-0001-7059-7058)
- Lorenzo Liverani (ORCID: https://orcid.org/0000-0003-2538-8868)
- Filippo Dell’Oro (ORCID: https://orcid.org/0000-0003-4648-3047)
- Vittorino Pata (ORCID: https://orcid.org/0000-0001-7691-419X)
Publication Details
- Journal
- Nonlinear Analysis Real World Applications
- Published
- 2024-12-27
- DOI
- https://doi.org/10.1016/j.nonrwa.2024.104298
- Primary Topic
- Thermoelastic and Magnetoelastic Phenomena
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Alexander von Humboldt-Stiftung
- Ministero dell’Istruzione, dell’Università e della Ricerca