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Smooth dynamics of a Timoshenko system with hybrid dissipation

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Autor(es):
Qin, Yuming ; Rivera, Jaime E. Munoz ; Ma, To Fu
Número total de Autores: 3
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