Geodesic
Well-posedness and energy decay for full von Kármán system of dynamic theromelasticity damped with distributed delay and past history terms
Filomat, Tome 37 (2023) no. 13, p. 4195

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DOI

In this paper, we study the well-posedness and the asymptotic behavior of a one-dimensional von Kármán beam is coupled to a thermal effect and frictional damping with distributed delay and past history. We first give the well-posedness of the system by using the semigroup theory. Then, we establish a decay result by introducing a suitable Lyapunov functionals.
DOI : 10.2298/FIL2313195D
Classification : 49K20, 70K20
Keywords: Full von Kármán beam, Distributed delay, Past history, Well-posedness, Decay of solutions 
Madani Douib; Salah Zitouni; Abdelhak Djebabla. Well-posedness and energy decay for full von Kármán system of dynamic theromelasticity damped with distributed delay and past history terms. Filomat, Tome 37 (2023) no. 13, p. 4195 . doi: 10.2298/FIL2313195D
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     author = {Madani Douib and Salah Zitouni and Abdelhak Djebabla},
     title = {Well-posedness and energy decay for full von {K\'arm\'an} system of dynamic theromelasticity damped with distributed delay and past history terms},
     journal = {Filomat},
     pages = {4195 },
     year = {2023},
     volume = {37},
     number = {13},
     doi = {10.2298/FIL2313195D},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2313195D/}
}
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