Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 142
Well-posedness and a general decay for a nonlinear damped porous thermoelastic system with second sound and distributed delay terms
Fares Yazid, Abdelaziz Rahmoune, Djamel Ouchenane, Fatima Siham Djeradi
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 20, 2022
March 03, 2129
April 15, 2129

Abstract: As a continuity to the study by M. M. Al-Gharabli et al in [4], we consider a one-dimensional porous thermoelastic system with second sound, distributed delay term and nonlinear feedback. We show the well-posedness, using the semigroup theory, and establish an explicit and general decay rate result, using some properties of convex functions and the multiplier method. Our result is obtained under suitable assumption on delay, and without imposing any restrictive growth assumption on the damping term.