Blow-up and lifespan of solutions for elastic membrane equation with distributed delay and logarithmic nonlinearity
Abstract We examine a Kirchhoff-type equation with nonlinear viscoelastic properties, characterized by distributed delay, logarithmic nonlinearity, and Balakrishnan–Taylor damping terms (elastic membrane equation). Under appropriate hypotheses, we establish the occurrence of solution blow-up.
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-03-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13661-024-01843-5 |
| _version_ | 1827321292034932736 |
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| author | Salah Boulaaras Rashid Jan Abdelbaki Choucha Aderrahmane Zaraï Mourad Benzahi |
| author_facet | Salah Boulaaras Rashid Jan Abdelbaki Choucha Aderrahmane Zaraï Mourad Benzahi |
| author_sort | Salah Boulaaras |
| collection | DOAJ |
| description | Abstract We examine a Kirchhoff-type equation with nonlinear viscoelastic properties, characterized by distributed delay, logarithmic nonlinearity, and Balakrishnan–Taylor damping terms (elastic membrane equation). Under appropriate hypotheses, we establish the occurrence of solution blow-up. |
| first_indexed | 2024-04-25T01:04:52Z |
| format | Article |
| id | doaj.art-5dc21c780d674e57ae703ca156efb4a4 |
| institution | Directory Open Access Journal |
| issn | 1687-2770 |
| language | English |
| last_indexed | 2024-04-25T01:04:52Z |
| publishDate | 2024-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-5dc21c780d674e57ae703ca156efb4a42024-03-10T12:18:26ZengSpringerOpenBoundary Value Problems1687-27702024-03-012024111310.1186/s13661-024-01843-5Blow-up and lifespan of solutions for elastic membrane equation with distributed delay and logarithmic nonlinearitySalah Boulaaras0Rashid Jan1Abdelbaki Choucha2Aderrahmane Zaraï3Mourad Benzahi4Department of Mathematics, College of Science, Qassim UniversityInstitute of Energy Infrastructure (IEI), Department of Civil Engineering, College of Engineering, Universiti Tenaga Nasional (UNITEN), Putrajaya CampusDepartment of Material Sciences, Faculty of Sciences, Amar Teleji Laghouat UniversityLaboratory of Mathematics, Informatics and Systems (LAMIS), Department of Mathematics and Computer Science, Larbi Tebessi UniversityLaboratory of Mathematics, Informatics and Systems (LAMIS), Department of Mathematics and Computer Science, Larbi Tebessi UniversityAbstract We examine a Kirchhoff-type equation with nonlinear viscoelastic properties, characterized by distributed delay, logarithmic nonlinearity, and Balakrishnan–Taylor damping terms (elastic membrane equation). Under appropriate hypotheses, we establish the occurrence of solution blow-up.https://doi.org/10.1186/s13661-024-01843-5Kirchhoff equationPartial differential equationsBlow-upDistributed delay termViscoelastic termLogarithmic nonlinearity |
| spellingShingle | Salah Boulaaras Rashid Jan Abdelbaki Choucha Aderrahmane Zaraï Mourad Benzahi Blow-up and lifespan of solutions for elastic membrane equation with distributed delay and logarithmic nonlinearity Boundary Value Problems Kirchhoff equation Partial differential equations Blow-up Distributed delay term Viscoelastic term Logarithmic nonlinearity |
| title | Blow-up and lifespan of solutions for elastic membrane equation with distributed delay and logarithmic nonlinearity |
| title_full | Blow-up and lifespan of solutions for elastic membrane equation with distributed delay and logarithmic nonlinearity |
| title_fullStr | Blow-up and lifespan of solutions for elastic membrane equation with distributed delay and logarithmic nonlinearity |
| title_full_unstemmed | Blow-up and lifespan of solutions for elastic membrane equation with distributed delay and logarithmic nonlinearity |
| title_short | Blow-up and lifespan of solutions for elastic membrane equation with distributed delay and logarithmic nonlinearity |
| title_sort | blow up and lifespan of solutions for elastic membrane equation with distributed delay and logarithmic nonlinearity |
| topic | Kirchhoff equation Partial differential equations Blow-up Distributed delay term Viscoelastic term Logarithmic nonlinearity |
| url | https://doi.org/10.1186/s13661-024-01843-5 |
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