Blow up and lifespan of solutions for elastic membrane equation with delay
The primary objective of this research is to examine a nonlinear elastic membrane equation incorporating delay and source terms within a bounded domain. We obtain sufficient conditions on the initial data and the involved functionals for which the energy of solutions with non positive initial energy...
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Elsevier B.V.
2025
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| author | Benzahi M. Zara� A. Boulaaras S. Jan R. Iqbal M. |
| author2 | 57218899355 |
| author_facet | 57218899355 Benzahi M. Zara� A. Boulaaras S. Jan R. Iqbal M. |
| author_sort | Benzahi M. |
| building | UNITEN Library |
| collection | Institutional Repository |
| content_provider | Universiti Tenaga Nasional |
| content_source | UNITEN Institutional Repository |
| continent | Asia |
| country | Malaysia |
| description | The primary objective of this research is to examine a nonlinear elastic membrane equation incorporating delay and source terms within a bounded domain. We obtain sufficient conditions on the initial data and the involved functionals for which the energy of solutions with non positive initial energy as well as positive initial energy blow up in a finite-time. In addition, this research work provides estimates for the lifespan of these solutions. ? 2023 The Author(s) |
| format | Article |
| id | my.uniten.dspace-36862 |
| institution | Universiti Tenaga Nasional |
| publishDate | 2025 |
| publisher | Elsevier B.V. |
| record_format | dspace |
| spelling | my.uniten.dspace-368622025-03-03T15:45:17Z Blow up and lifespan of solutions for elastic membrane equation with delay Benzahi M. Zara� A. Boulaaras S. Jan R. Iqbal M. 57218899355 36624636500 36994353700 57205596279 57204010698 Mathematical operators Nonlinear equations Partial differential equations Timing circuits Balakrishnan?taylor damping Blow-up Elastic membranes Initial energy Lifespans Membrane equations Nonlinear elastic membranes Primary objective Source terms Time-delays Time delay The primary objective of this research is to examine a nonlinear elastic membrane equation incorporating delay and source terms within a bounded domain. We obtain sufficient conditions on the initial data and the involved functionals for which the energy of solutions with non positive initial energy as well as positive initial energy blow up in a finite-time. In addition, this research work provides estimates for the lifespan of these solutions. ? 2023 The Author(s) Final 2025-03-03T07:45:17Z 2025-03-03T07:45:17Z 2024 Article 10.1016/j.rinam.2023.100426 2-s2.0-85180977305 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85180977305&doi=10.1016%2fj.rinam.2023.100426&partnerID=40&md5=4b5b9d51a736a8b363d5306e4d50b70d https://irepository.uniten.edu.my/handle/123456789/36862 21 100426 All Open Access; Gold Open Access Elsevier B.V. Scopus |
| spellingShingle | Mathematical operators Nonlinear equations Partial differential equations Timing circuits Balakrishnan?taylor damping Blow-up Elastic membranes Initial energy Lifespans Membrane equations Nonlinear elastic membranes Primary objective Source terms Time-delays Time delay Benzahi M. Zara� A. Boulaaras S. Jan R. Iqbal M. Blow up and lifespan of solutions for elastic membrane equation with delay |
| title | Blow up and lifespan of solutions for elastic membrane equation with delay |
| title_full | Blow up and lifespan of solutions for elastic membrane equation with delay |
| title_fullStr | Blow up and lifespan of solutions for elastic membrane equation with delay |
| title_full_unstemmed | Blow up and lifespan of solutions for elastic membrane equation with delay |
| title_short | Blow up and lifespan of solutions for elastic membrane equation with delay |
| title_sort | blow up and lifespan of solutions for elastic membrane equation with delay |
| topic | Mathematical operators Nonlinear equations Partial differential equations Timing circuits Balakrishnan?taylor damping Blow-up Elastic membranes Initial energy Lifespans Membrane equations Nonlinear elastic membranes Primary objective Source terms Time-delays Time delay |
| url_provider | http://dspace.uniten.edu.my/ |