Global attractors for Moore–Gibson–Thompson thermoelastic extensible beams and Berger plates
For p ¿ R, and a,ß, ¿, d, ¿ > 0, we consider an abstract version of the system {utt + ¿^2u -(p + ||¿u||^2) ¿u = ¿¿(¿tt + a¿t) +f }{¿tt + a¿t - ß¿¿t - ¿¿¿ - d¿¿tt = -¿¿ut} describing the dynamics of thermoelastic extensible beams or Berger plates, where the evolution of the temperature is ruled by...
| Autores: | , , , |
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| Tipo de documento: | artigo |
| Data de publicação: | 2025 |
| País: | España |
| Recursos: | Universitat Politècnica de Catalunya (UPC) |
| Repositório: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglês |
| OAI Identifier: | oai:upcommons.upc.edu:2117/424797 |
| Acesso em linha: | https://hdl.handle.net/2117/424797 https://dx.doi.org/10.1016/j.nonrwa.2024.104298 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Thermoelastic extensible beams and Berger plates MGT heat conduction Exponential decay Absorbing set Global attractor Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències |
| Resumo: | For p ¿ R, and a,ß, ¿, d, ¿ > 0, we consider an abstract version of the system {utt + ¿^2u -(p + ||¿u||^2) ¿u = ¿¿(¿tt + a¿t) +f }{¿tt + a¿t - ß¿¿t - ¿¿¿ - d¿¿tt = -¿¿ut} 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. |
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