Work

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

Year: 2024

Type: article

Abstract: For p ∈ R , and α , β , γ , δ , η > 0 , we consider an abstract version of the system u t t + Δ 2 u − ( p + ‖ ∇ u ‖ 2 ) Δ u = η Δ ( ϕ t t + α ϕ t ) + f ϕ t t t + α ϕ t t − β Δ ϕ t − γ Δ ϕ − δ Δ ϕ t t = − η Δ u 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.

Source: Nonlinear Analysis Real World Applications

DOI: 10.1016/j.nonrwa.2024.104298

Authors: Filippo Dell’Oro, Lorenzo Liverani, Vittorino Pata, Ramon Quintanilla

Institutions: Politecnico di Milano, Friedrich-Alexander-Universität Erlangen-Nürnberg, Universitat Politècnica de Catalunya

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,950

Funders: Alexander von Humboldt-Stiftung, Ministero dell’Istruzione, dell’Università e della Ricerca