SMOOTH DYNAMICS OF WEAKLY DAMPED LAME SYSTEMS WITH DELAY

Autor(es)

Ma, To Fu ^[1] ; Mesquita, Jaqueline G. ^[1] ; Seminario-Huertas, Paulo N. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Brasilia, Dept Math, Campus Univ Darcy Ribeiro, BR-70910900 Brasilia, DF - Brazil

• Tipo de documento: Artigo Científico
• Fonte: SIAM JOURNAL ON MATHEMATICAL ANALYSIS; v. 53, n. 4, p. 3759-3771, 2021.
• Citações Web of Science: 0

Resumo

The Lame system is a classical model for isotropic elasticity and has important applications in seismology. In the present paper, we study the longtime dynamics of weakly damped Lame systems that exhibit interior delay effects on the velocity. The main result establishes, under nonlinear forces of critical growth, the existence of a smooth finite dimensional global attractor. To the best of our knowledge, this result is new even for scalar wave equations. (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