{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T07:54:47Z","timestamp":1777449287118,"version":"3.51.4"},"reference-count":28,"publisher":"SAGE Publications","issue":"1-2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["ASY"],"published-print":{"date-parts":[[2015,10,15]]},"DOI":"10.3233\/asy-151330","type":"journal-article","created":{"date-parts":[[2015,10,20]],"date-time":"2015-10-20T10:54:23Z","timestamp":1445338463000},"page":"129-160","source":"Crossref","is-referenced-by-count":16,"title":["Smooth attractor for a nonlinear thermoelastic diffusion thin plate based on Gurtin\u2013Pipkin\u2019s model"],"prefix":"10.1177","volume":"95","author":[{"given":"Moncef","family":"Aouadi","sequence":"first","affiliation":[{"name":"Ecole Nationale d\u2019Ing\u00e9nieurs de Bizerte, Universit\u00e9 de Carthage, Menzel Abderrahmane, Tunisia. E-mail:\u00a0moncef_aouadi@yahoo.fr"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alain","family":"Miranville","sequence":"additional","affiliation":[{"name":"Laboratoire de Math\u00e9matiques et Applications, Universit\u00e9 de Poitiers, Chasseneuil Futuroscope Cedex, France. E-mail:\u00a0miranv@mathlabo.univ-poitiers.fr"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","reference":[{"key":"10.3233\/ASY-151330_ref1","doi-asserted-by":"crossref","first-page":"745","DOI":"10.1016\/j.jmaa.2013.01.059","article-title":"On uniform decay of a nonsimple thermoelastic bar with memory","volume":"402","author":"Aouadi","year":"2013","journal-title":"J. Math. Anal. Appl."},{"key":"10.3233\/ASY-151330_ref2","doi-asserted-by":"crossref","first-page":"619","DOI":"10.1007\/s10483-015-1930-7","article-title":"On thermoelastic diffusion thin plates theory","volume":"36","author":"Aouadi","year":"2015","journal-title":"Applied Mathematics and Mechanics (English Edition)"},{"key":"10.3233\/ASY-151330_ref3","doi-asserted-by":"crossref","first-page":"837","DOI":"10.1002\/zamm.201300050","article-title":"A theory of thermoelasticity with diffusion under Green\u2013Naghdi models","volume":"94","author":"Aouadi","year":"2014","journal-title":"ZAMM Z. Angew. Math. Mech."},{"key":"10.3233\/ASY-151330_ref5","doi-asserted-by":"crossref","first-page":"143","DOI":"10.1016\/j.jmaa.2014.02.042","article-title":"Long-time dynamics of an extensible plate equation with thermal memory","volume":"416","author":"Barbosa","year":"2014","journal-title":"J. Math. Anal. Appl."},{"key":"10.3233\/ASY-151330_ref6","unstructured":"[6]I.\u00a0Chueshov, On some continuity property of an attractor in a problem on the oscillations of a shallow shell, in: Dynamical Systems and Complex Analysis, V.A.\u00a0Marchenko, ed., Naukova Dumka, Kiev, 1992, pp.\u00a085\u201391 (in Russian)."},{"key":"10.3233\/ASY-151330_ref7","doi-asserted-by":"crossref","first-page":"469","DOI":"10.1007\/s10884-004-4289-x","article-title":"Attractors for second order evolution equations with a nonlinear damping","volume":"16","author":"Chueshov","year":"2004","journal-title":"J. Dyn. Diff. Equ."},{"key":"10.3233\/ASY-151330_ref8","doi-asserted-by":"crossref","unstructured":"[8]I.\u00a0Chueshov and I.\u00a0Lasiecka, Long-Time Behavior of Second Order Evolution Equations with Nonlinear Damping, Memoirs of the American Mathematical Society, Vol.\u00a0195, American Mathematical Society, Providence, 2008.","DOI":"10.1090\/memo\/0912"},{"key":"10.3233\/ASY-151330_ref9","doi-asserted-by":"crossref","first-page":"195","DOI":"10.1007\/s00245-007-9031-8","article-title":"Attractors and long-time behavior of von Karman thermoelastic plates","volume":"58","author":"Chueshov","year":"2008","journal-title":"Appl. Math. Optim. Equ."},{"key":"10.3233\/ASY-151330_ref10","doi-asserted-by":"crossref","unstructured":"[10]I.\u00a0Chueshov and I.\u00a0Lasiecka, Von Karman Evolution Equations, Springer Monographs in Mathematics, Springer, New York, 2010.","DOI":"10.1007\/978-0-387-87712-9"},{"key":"10.3233\/ASY-151330_ref11","doi-asserted-by":"crossref","first-page":"357","DOI":"10.1016\/j.jmaa.2012.12.031","article-title":"Energy decay of type III linear thermoelastic plates with memory","volume":"401","author":"Coti Zelati","year":"2013","journal-title":"J. Math. Anal. Appl."},{"key":"10.3233\/ASY-151330_ref12","doi-asserted-by":"crossref","first-page":"251","DOI":"10.3934\/eect.2012.1.251","article-title":"Memory relaxation of type III thermoelastic extensible beams and Berger plates","volume":"1","author":"Dell\u2019Oro","year":"2012","journal-title":"Evol. Equ. Control Theory"},{"key":"10.3233\/ASY-151330_ref13","doi-asserted-by":"crossref","first-page":"83","DOI":"10.3934\/cpaa.2007.6.83","article-title":"Upper semicontinuous attractor for 2D Mindlin\u2013Timoshenko thermoelastic model with memory","volume":"6","author":"Fastovska","year":"2007","journal-title":"Commun. Pure Appl. Anal."},{"key":"10.3233\/ASY-151330_ref14","doi-asserted-by":"crossref","first-page":"4833","DOI":"10.1016\/j.na.2009.03.059","article-title":"Upper semicontinuous attractor for a 2D Mindlin\u2013Timoshenko thermo-viscoelastic model with memory","volume":"71","author":"Fastovska","year":"2009","journal-title":"Nonlinear Anal. TMA"},{"key":"10.3233\/ASY-151330_ref15","doi-asserted-by":"crossref","first-page":"333","DOI":"10.1007\/s000300050049","article-title":"Asymptotic behavior of a semilinear problem in heat conduction with memory","volume":"5","author":"Giorgi","year":"1998","journal-title":"NoDEA Nonlinear Diff. Equ. Appl."},{"key":"10.3233\/ASY-151330_ref16","doi-asserted-by":"crossref","first-page":"627","DOI":"10.1142\/S0218202501001021","article-title":"Stability of abstract linear thermoelastic systems with memory","volume":"11","author":"Giorgi","year":"2001","journal-title":"Math. Models Meth. Appl. Sci."},{"key":"10.3233\/ASY-151330_ref17","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.jmaa.2004.10.071","article-title":"On the energy decay of the linear thermoelastic plate with memory","volume":"309","author":"Grasselli","year":"2005","journal-title":"J. Math. Anal. Appl."},{"key":"10.3233\/ASY-151330_ref18","doi-asserted-by":"crossref","unstructured":"[18]M.\u00a0Grasselli and V.\u00a0Pata, Uniform attractors of nonautonomous systems with memory, in: Evolution Equations, Semigroups and Functional Analysis, A.\u00a0Lorenzi and B.\u00a0Ruf, eds, Progress in Nonlinear Differential Equations and Their Applications, Birkh\u00e4user, Boston, 2002, pp.\u00a0155\u2013178.","DOI":"10.1007\/978-3-0348-8221-7_9"},{"key":"10.3233\/ASY-151330_ref19","first-page":"15","article-title":"Exponential stability and singular limit for a linear thermoelastic plate with memory effects","volume":"16","author":"Grasselli","year":"2006","journal-title":"Adv. Math. Sci. Appl."},{"key":"10.3233\/ASY-151330_ref20","unstructured":"[20]P.\u00a0Grisvard, Elliptic Problems in Non-Smooth Domains, Pittman, Boston, 1985."},{"key":"10.3233\/ASY-151330_ref21","unstructured":"[21]J.K.\u00a0Hale, Asymptotic Behavior of Dissipative Systems, Mathematical Surveys and Monographs, Vol.\u00a025, American Mathematical Society, Providence, RI, 1988."},{"key":"10.3233\/ASY-151330_ref22","doi-asserted-by":"crossref","unstructured":"[22]O.\u00a0Ladyzhenskaya, Attractors for Semi-Groups and Evolution Equations, Cambridge Univ. Press, 1991.","DOI":"10.1017\/CBO9780511569418"},{"key":"10.3233\/ASY-151330_ref23","unstructured":"[23]A.\u00a0Miranville and S.\u00a0Zelik, Handbook of Differential Equations, C.M.\u00a0Dafermos and M.\u00a0Pokorny, eds, Evolutionary Equations, Vol.\u00a04, Elsevier, 2008, Chapter\u00a03."},{"key":"10.3233\/ASY-151330_ref24","doi-asserted-by":"crossref","first-page":"499","DOI":"10.1090\/S0033-569X-06-01010-4","article-title":"Exponential stability in linear viscoelasticity","volume":"64","author":"Pata","year":"2006","journal-title":"Quart. Appl. Math."},{"key":"10.3233\/ASY-151330_ref25","doi-asserted-by":"crossref","unstructured":"[25]A.\u00a0Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, Applied Mathematical Sciences, Vol.\u00a044, Springer, New York, 1983.","DOI":"10.1007\/978-1-4612-5561-1"},{"key":"10.3233\/ASY-151330_ref26","doi-asserted-by":"crossref","first-page":"161","DOI":"10.3934\/cpaa.2010.9.161","article-title":"Asymptotic behavior of thermoviscoelastic Berger plate","volume":"9","author":"Potomkin","year":"2010","journal-title":"Commun. Pure Appl. Anal."},{"key":"10.3233\/ASY-151330_ref27","doi-asserted-by":"crossref","first-page":"530","DOI":"10.1002\/mma.1589","article-title":"A nonlinear transmission problem for a compound plate with thermoelastic part","volume":"35","author":"Potomkin","year":"2012","journal-title":"Math. Meth. Appl. Sci."},{"key":"10.3233\/ASY-151330_ref28","doi-asserted-by":"crossref","unstructured":"[28]R.\u00a0Temam, Infinite-Dimensional Dynamical Systems in Mechanics and Physics, Applied Mathematical Sciences, Vol.\u00a068, Springer, New York, 1988.","DOI":"10.1007\/978-1-4684-0313-8"},{"key":"10.3233\/ASY-151330_ref29","doi-asserted-by":"crossref","first-page":"650","DOI":"10.1016\/j.jmaa.2008.08.001","article-title":"Long-time behavior for a nonlinear plate equation with thermal memory","volume":"348","author":"Wu","year":"2008","journal-title":"J. Math. Anal. Appl."}],"container-title":["Asymptotic Analysis"],"original-title":[],"link":[{"URL":"https:\/\/content.iospress.com\/download?id=10.3233\/ASY-151330","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T12:40:40Z","timestamp":1777380040000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/full\/10.3233\/ASY-151330"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,10,15]]},"references-count":28,"journal-issue":{"issue":"1-2"},"URL":"https:\/\/doi.org\/10.3233\/asy-151330","relation":{},"ISSN":["1875-8576","0921-7134"],"issn-type":[{"value":"1875-8576","type":"electronic"},{"value":"0921-7134","type":"print"}],"subject":[],"published":{"date-parts":[[2015,10,15]]}}}