Well-posedness and energy decay for full von Kármán system of dynamic theromelasticity damped with distributed delay and past history terms


Madani Douib, Salah Zitouni, Abdelhak Djebabla




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.