Author | dc.contributor.author | Muñoz Rivera, Jaime E. | |
Author | dc.contributor.author | Poblete Oviedo, Verónica | |
Author | dc.contributor.author | Pozo, Juan C. | |
Author | dc.contributor.author | Vera, Octavio | |
Admission date | dc.date.accessioned | 2020-06-22T22:53:10Z | |
Available date | dc.date.available | 2020-06-22T22:53:10Z | |
Publication date | dc.date.issued | 2020 | |
Cita de ítem | dc.identifier.citation | Reviews in Mathematical Physics Volumen: 32 Número: 5 Jun 2020 | es_ES |
Identifier | dc.identifier.other | 10.1142/S0129055X20500142 | |
Identifier | dc.identifier.uri | https://repositorio.uchile.cl/handle/2250/175634 | |
Abstract | dc.description.abstract | We study the existence and the asymptotic behavior of the solution of an abstract viscoelastic system submitted to non-local initial data. u(tt )+ Au - integral(t)(0) g(t - s)Bu(s)ds = 0 u(0) = xi(u) in V, u(t) (0) = eta(u) in H, where A and B are differential operators satisfying B approximate to A(alpha) for 0 <= alpha <= 1. We prove that the model is well-posed. Concerning the asymptotic behavior, we show that the exponential decay holds if and only if alpha = 1 and g goes to zero exponentially. Otherwise if 0 <= a < 1 or the kernel goes to zero polynomially, then the solution only decays polynomially. We show the optimality of our result. Finally, we consider the non-dissipative case. | es_ES |
Patrocinador | dc.description.sponsorship | Conicyt MEC Project 80150094
National Council for Scientific and Technological Development (CNPq) 310249/2018-0
PAIFAC
Comision Nacional de Investigacion Cientifica y Tecnologica
(CONICYT)
CONICYT FONDECYT
3140103
1191137
ENL016/15 | es_ES |
Lenguage | dc.language.iso | en | es_ES |
Publisher | dc.publisher | World Scientific Publishing | es_ES |
Source | dc.source | Reviews in Mathematical Physics | es_ES |
Keywords | dc.subject | Materials with memory | es_ES |
Keywords | dc.subject | Asymptotic stability | es_ES |
Keywords | dc.subject | Indefinite dissipation | es_ES |
Título | dc.title | Asymptotic to systems with memory and non-local initial data | es_ES |
Document type | dc.type | Artículo de revista | es_ES |
dcterms.accessRights | dcterms.accessRights | Acceso a solo metadatos | es_ES |
Cataloguer | uchile.catalogador | laj | es_ES |
Indexation | uchile.index | Artículo de publicación ISI | |
Indexation | uchile.index | Artículo de publicación SCOPUS | |