Browsing by Author "Manel ,ABDELLI"

Now showing 1 - 1 of 1
  • Thumbnail Image
    Item
    Existence and asymptotic behavior of the solution of some evolution problems
    (université 20 aout 1955 skikda, 2024) Manel ,ABDELLI; Lamine, BOUZETTOUTA
    In this thesis, we study the existence, uniqueness and the stability of the solutions of certain evolution problems where the dissipation is induced by the presence of delay. In this regard, under some adequate assumptions, we examine three problems and arrive at an exponential decay result. The …rst problem is concerned with the thermoelastic system of swelling porous-elastic soils with a second sound and delay term, the second one is related to the Von kármán beam with delay time and microtemperature e¤ect, while the last one is about the thermoelastic Bresse system with distributed neutral delay and a second sound. Using the semigroups theory, we establish the existence and uniqueness of solutions of our problems. Then, we show its exponential stability by the energy method, which depends on the construction of a suitable Lyapunov functional