{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T07:51:49Z","timestamp":1777449109240,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"3-4","license":[{"start":{"date-parts":[[2014,4,1]],"date-time":"2014-04-01T00:00:00Z","timestamp":1396310400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Asymptotic Analysis"],"published-print":{"date-parts":[[2014,4]]},"abstract":"<jats:p>We consider the thermoelastic beam system when the oscillations are defined by the Timoshenko's model and the heat conduction is given by Green and Naghdi theories. Our main result is that the corresponding semigroup is exponentially stable if and only if the wave speeds associated to the hyperbolic part of the system are equal. In the case of lack of exponential stability we show that the solution decays polynomially and we prove that the rate of decay is optimal.<\/jats:p>","DOI":"10.3233\/asy-131196","type":"journal-article","created":{"date-parts":[[2019,11,29]],"date-time":"2019-11-29T19:31:49Z","timestamp":1575055909000},"page":"227-247","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":14,"title":["Energy decay to Timoshenko's system with thermoelasticity of type III"],"prefix":"10.1177","volume":"86","author":[{"given":"L.H.","family":"Fatori","sequence":"first","affiliation":[{"name":"Department of Mathematics, Universidade Estadual de Londrina, Campus Universit\u00e1rio, Londrina, CEP 86.051-990, Paran\u00e1, Brazil. E-mails: lucifatori@uel.br, rodrigonunesmonteiro@hotmail.com"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J.E.","family":"Mu\u00f1oz Rivera","sequence":"additional","affiliation":[{"name":"National Laboratory of Scientific Computations, LNCC\/MCT, Rua Get\u00falio Vargas 333, Quitandinha, Petr\u00f3polis, CEP 25651-070, RJ, Brazil and Instituto de Matem\u00e1tica \u2013 UFRJ, Av. Hor\u00e1cio Macedo, Centro de Tecnologia Cidade Universit\u00e1ria \u2013 Ilha do Fund\u00e3o, 21941-972 Rio de Janeiro, RJ, Brasil. E-mail: rivera@lncc.br"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"R.","family":"Nunes Monteiro","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Universidade Estadual de Londrina, Campus Universit\u00e1rio, Londrina, CEP 86.051-990, Paran\u00e1, Brazil. E-mails: lucifatori@uel.br, rodrigonunesmonteiro@hotmail.com"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2014,4,1]]},"container-title":["Asymptotic Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-131196","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-131196","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T12:40:04Z","timestamp":1777380004000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/ASY-131196"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,4]]},"references-count":0,"journal-issue":{"issue":"3-4","published-print":{"date-parts":[[2014,4]]}},"alternative-id":["10.3233\/ASY-131196"],"URL":"https:\/\/doi.org\/10.3233\/asy-131196","relation":{},"ISSN":["0921-7134","1875-8576"],"issn-type":[{"value":"0921-7134","type":"print"},{"value":"1875-8576","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,4]]}}}