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Exponential stability for a thermo-viscoelastic Timoshenko system with fading memory

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Autor(es):
Calsavara, B. M. R. ; Tavares, E. H. Gomes ; Silva, M. A. Jorge
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: Journal of Mathematical Analysis and Applications; v. 512, n. 2, p. 17-pg., 2022-08-15.
Resumo

We are concerned with the characterization of the (uniform) exponential stability for a thermo-viscoelastic Timoshenko beam system under the Fourier law for heat conduction and memory in a history setting. Motivated by [5,6], we explore an intrinsic (non differentiable) assumption on the memory kernel that provides a necessary and sufficient condition for the exponential stability of the whole system. It gives a substantial generalization of the stability results obtained in [10,14,18] and surely ties up loose ends about the hypothesis equivalent to exponential stability of the problem. (C) 2022 Elsevier Inc. All rights reserved. (AU)

Processo FAPESP: 19/02512-5 - Sistemas e equações diferenciais parciais
Beneficiário:Marcelo da Silva Montenegro
Modalidade de apoio: Auxílio à Pesquisa - Temático