Dafallah, Abdelmajid Ali and Mosa, Fadlallah Mustafa and Bakhet, Mohamed Y. A. and Ahmed, Eshag Mohamed (2020) Stochastic dynamic for an extensible beam equation with localized nonlinear damping and linear memory. Open Journal of Mathematical Sciences, 4 (1). pp. 400-416. ISSN 26164906
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Abstract
In this paper, we concerned to prove the existence of a random attractor for the stochastic dynamical system generated by the extensible beam equation with localized non-linear damping and linear memory defined on bounded domain. First we investigate the existence and uniqueness of solutions, bounded absorbing set, then the asymptotic compactness. Longtime behavior of solutions is analyzed. In particular, in the non-autonomous case, the existence of a random attractor attractors for solutions is achieved.
Item Type: | Article |
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Subjects: | Open Library Press > Mathematical Science |
Depositing User: | Unnamed user with email support@openlibrarypress.com |
Date Deposited: | 05 Jun 2023 04:54 |
Last Modified: | 04 Sep 2024 03:50 |
URI: | http://info.euro-archives.com/id/eprint/1515 |