Moumen, Abdelkader and Ouchenane, Djamel and Bouhali, Keltoum and Altayeb, Yousif (2021) Well-Posedness and Stability Results for a Nonlinear Damped Porous–Elastic System with Infinite Memory and Distributed Delay Terms. Mathematical and Computational Applications, 26 (4). p. 71. ISSN 2297-8747
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Abstract
In the present paper, we consider an important problem from the application perspective in science and engineering, namely, one-dimensional porous–elastic systems with nonlinear damping, infinite memory and distributed delay terms. A new minimal conditions, placed on the nonlinear term and the relationship between the weights of the different damping mechanisms, are used to show the well-posedness of the solution using the semigroup theory. The solution energy has an explicit and optimal decay for the cases of equal and nonequal speeds of wave propagation.
Item Type: | Article |
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Uncontrolled Keywords: | well-posedness; general decay; infinite memory; nonlinear damping; porous–elastic system; distributed delay term |
Subjects: | Science Repository > Mathematical Science |
Depositing User: | Managing Editor |
Date Deposited: | 12 Sep 2023 11:57 |
Last Modified: | 12 Sep 2023 11:57 |
URI: | http://research.manuscritpub.com/id/eprint/2695 |