{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,11]],"date-time":"2026-03-11T18:34:40Z","timestamp":1773254080245,"version":"3.50.1"},"reference-count":0,"publisher":"SAGE Publications","issue":"1-2","license":[{"start":{"date-parts":[[2009,6,1]],"date-time":"2009-06-01T00:00:00Z","timestamp":1243814400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Asymptotic Analysis"],"published-print":{"date-parts":[[2009,6]]},"abstract":"<jats:p> We consider a coupled linear system describing a thermoviscoelastic plate with hereditary effects. The system consists of a hyperbolic integrodifferential equation, governing the temperature, which is linearly coupled with the partial differential equation ruling the evolution of the vertical deflection, presenting a convolution term accounting for memory effects. It is also assumed that the thermal power contains a memory term characterized by a relaxation kernel. We prove that the system is exponentially stable and we obtain a closeness estimate between the system with memory effects and the corresponding memory-free limiting system, as the kernels fade in a suitable sense. <\/jats:p>","DOI":"10.3233\/asy-2008-0928","type":"journal-article","created":{"date-parts":[[2019,11,30]],"date-time":"2019-11-30T00:05:59Z","timestamp":1575072359000},"page":"55-84","source":"Crossref","is-referenced-by-count":7,"title":["Asymptotic behavior of a thermoviscoelastic plate with memory effects"],"prefix":"10.1177","volume":"63","author":[{"given":"Maurizio","family":"Grasselli","sequence":"first","affiliation":[{"name":"Dipartimento di Matematica \u201cF. Brioschi\u201d, Politecnico di Milano, Via E. Bonardi 9, 20133 Milano, Italy. E-mail: maurizio.grasselli@polimi.it"}]},{"given":"Jaime E.","family":"Mu\u00f1oz Rivera","sequence":"additional","affiliation":[{"name":"Laboratorio Nacional de Computa\u00e7ao Cientifica, Av. Get\u00falio Vargas 333, 25651-070-Petropolis, Brazil. E-mail: rivera@lncc.br"}]},{"given":"Marco","family":"Squassina","sequence":"additional","affiliation":[{"name":"Dipartimento di Informatica, Universit\u00e0 degli Studi di Verona, C\u00e1 Vignal 2, Strada Le Grazie 15, 37134 Verona, Italy. E-mail: marco.squassina@univr.it"}]}],"member":"179","published-online":{"date-parts":[[2009,6,1]]},"container-title":["Asymptotic Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2008-0928","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2008-0928","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,3,10]],"date-time":"2025-03-10T17:42:31Z","timestamp":1741628551000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/ASY-2008-0928"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,6]]},"references-count":0,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[2009,6]]}},"alternative-id":["10.3233\/ASY-2008-0928"],"URL":"https:\/\/doi.org\/10.3233\/asy-2008-0928","relation":{},"ISSN":["0921-7134","1875-8576"],"issn-type":[{"value":"0921-7134","type":"print"},{"value":"1875-8576","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,6]]}}}