Smooth dynamics of a Timoshenko system with hybrid dissipation

Autor(es)

Qin, Yuming ; Rivera, Jaime E. Munoz ; Ma, To Fu

• Tipo de documento: Artigo Científico
• Fonte: ASYMPTOTIC ANALYSIS; v. 131, n. 1, p. 15-pg., 2023-01-01.

Resumo

In this paper we study the longtime dynamics of a class of thermoelastic Timoshenko beams with history in a nonlinear elastic foundation. Our main result establishes the existence of a global attractor with finite fractal dimension without requiring the so-called equal wave speeds assumption. In addition, the attractor belongs to the phase space of strong solutions. The results are based on properties of gradient systems and a concept of quasi-stability. We believe this is the first study on the existence of global attractors for semilinear Timoshenko systems with hybrid dissipation (heat and memory). (AU)

• Processo FAPESP: 19/11824-0 - Dinâmica de equações de ondas semi lineares com dissipação localizada
• Beneficiário: Ma To Fu
• Modalidade de apoio: Auxílio à Pesquisa - Regular