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作 者:Hanni DRIDI
机构地区:[1]Laboratory of Applied Mathematics,University of Badji Mokhtar,P.O.Box 12,23000 Annaba,Algeria
出 处:《Acta Mathematicae Applicatae Sinica》2023年第2期306-319,共14页应用数学学报(英文版)
摘 要:This paper aims to prove the asymptotic behavior of the solution for the thermo-elastic von Karman system where the thermal conduction is given by Gurtin-Pipkins law.Existence and uniqueness of the solution are proved within the semigroup framework and stability is achieved thanks to a suitable Lyapunov functional.Therefore,the stability result clarified that the solutions energy functional decays exponentially at infinite time.
关 键 词:asymptotic behavior of solution coupled system Thermoelastic system von Karman contraction semigroup
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