Global attractors for Moore–Gibson–Thompson thermoelastic extensible beams and Berger plates

Dell'Oro F, Liverani L, Pata V, Quintanilla R (2025)

Publication Language: English

Publication Type: Journal article

Publication year: 2025

Journal

Nonlinear Analysis-Real World Applications Elsevier

Book Volume: 84

Article Number: 104298

DOI: 10.1016/j.nonrwa.2024.104298

Abstract

For p∈R, and α,β,γ,δ,η>0, we consider an abstract version of the system 
utt+Δ2u−(p+‖∇u‖2)Δu=ηΔ(ϕtt+αϕt)+f
ϕttt+αϕtt−βΔϕt−γΔϕ−δΔϕtt=−ηΔut
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 with CRIS profile

Lorenzo Liverani Lehrstuhl für Dynamics, Control, Machine Learning and Numerics (Alexander von Humboldt-Professur)

Involved external institutions

Politecnico di Milano IT Italy (IT) Polytechnic University of Catalonia / Universitat Politècnica de Catalunya · BarcelonaTech (UPC) / Universidad Politécnica de Cataluña ES Spain (ES)

How to cite

APA:

Dell'Oro, F., Liverani, L., Pata, V., & Quintanilla, R. (2025). Global attractors for Moore–Gibson–Thompson thermoelastic extensible beams and Berger plates. Nonlinear Analysis-Real World Applications, 84. https://doi.org/10.1016/j.nonrwa.2024.104298

MLA:

Dell'Oro, Filippo, et al. "Global attractors for Moore–Gibson–Thompson thermoelastic extensible beams and Berger plates." Nonlinear Analysis-Real World Applications 84 (2025).

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