Dynamics of the stochastic wave equations with degenerate memory effects on bounded domain
In this work, we consider the behavior of long-time dynamics of a random dynamical system generated wave equations with degenerate memory and additive noise, on bounded domain U, with Dirichlet boundary condition, and nonlinear term f(u) with critical growth conditions, then we establish the existen...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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University Constantin Brancusi of Targu-Jiu
2022-04-01
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| Series: | Surveys in Mathematics and its Applications |
| Subjects: | |
| Online Access: | http://www.utgjiu.ro/math/sma/v17/p17_08.pdf |
| _version_ | 1818211706372882432 |
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| author | Abdelmajid A. D. Fadlallah M. M. Mohamed Y. A. Bakhet Ahmed E. M. |
| author_facet | Abdelmajid A. D. Fadlallah M. M. Mohamed Y. A. Bakhet Ahmed E. M. |
| author_sort | Abdelmajid A. D. |
| collection | DOAJ |
| description | In this work, we consider the behavior of long-time dynamics of a random dynamical system generated wave equations with degenerate memory and additive noise, on bounded domain U, with Dirichlet boundary condition, and nonlinear term f(u) with critical growth conditions, then we establish the existence of a random attractor. |
| first_indexed | 2024-12-12T05:36:46Z |
| format | Article |
| id | doaj.art-7c326fe348754559819a3b3023648186 |
| institution | Directory Open Access Journal |
| issn | 1843-7265 1842-6298 |
| language | English |
| last_indexed | 2024-12-12T05:36:46Z |
| publishDate | 2022-04-01 |
| publisher | University Constantin Brancusi of Targu-Jiu |
| record_format | Article |
| series | Surveys in Mathematics and its Applications |
| spelling | doaj.art-7c326fe348754559819a3b30236481862022-12-22T00:36:06ZengUniversity Constantin Brancusi of Targu-JiuSurveys in Mathematics and its Applications1843-72651842-62982022-04-0117 (2022)181203Dynamics of the stochastic wave equations with degenerate memory effects on bounded domainAbdelmajid A. D. 0 Fadlallah M. M. 1Mohamed Y. A. Bakhet2Ahmed E. M. 3Faculty of Petroleum and Hydrology Engineering, Alsalam University, Almugled, Sudan.Department of Mathematics and physics, Faculty of Education University of Kassala Kassala, SudanDepartment of Mathematics, College of Education Rumbek University of Science and Technology Rumbek, South SudanDepartment of Mathematics, Faculty of Pure and Applied Sciences, International University of Africa, Khartoum, SudanIn this work, we consider the behavior of long-time dynamics of a random dynamical system generated wave equations with degenerate memory and additive noise, on bounded domain U, with Dirichlet boundary condition, and nonlinear term f(u) with critical growth conditions, then we establish the existence of a random attractor. http://www.utgjiu.ro/math/sma/v17/p17_08.pdfstochastic wave equationsdegenerate memoryrandom dynamical systemrandom attractor |
| spellingShingle | Abdelmajid A. D. Fadlallah M. M. Mohamed Y. A. Bakhet Ahmed E. M. Dynamics of the stochastic wave equations with degenerate memory effects on bounded domain Surveys in Mathematics and its Applications stochastic wave equations degenerate memory random dynamical system random attractor |
| title | Dynamics of the stochastic wave equations with degenerate memory effects on bounded domain |
| title_full | Dynamics of the stochastic wave equations with degenerate memory effects on bounded domain |
| title_fullStr | Dynamics of the stochastic wave equations with degenerate memory effects on bounded domain |
| title_full_unstemmed | Dynamics of the stochastic wave equations with degenerate memory effects on bounded domain |
| title_short | Dynamics of the stochastic wave equations with degenerate memory effects on bounded domain |
| title_sort | dynamics of the stochastic wave equations with degenerate memory effects on bounded domain |
| topic | stochastic wave equations degenerate memory random dynamical system random attractor |
| url | http://www.utgjiu.ro/math/sma/v17/p17_08.pdf |
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