Global Existence and General Decay of Solutions for a Quasilinear System with Degenerate Damping Terms
In this work, we consider a quasilinear system of viscoelastic equations with degenerate damping, dispersion, and source terms under Dirichlet boundary condition. Under some restrictions on the initial datum and standard conditions on relaxation functions, we study global existence and general decay...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/4316238 |
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| _version_ | 1832561360919068672 |
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| author | Fatma Ekinci Erhan Pișkin Salah Mahmoud Boulaaras Ibrahim Mekawy |
| author_facet | Fatma Ekinci Erhan Pișkin Salah Mahmoud Boulaaras Ibrahim Mekawy |
| author_sort | Fatma Ekinci |
| collection | DOAJ |
| description | In this work, we consider a quasilinear system of viscoelastic equations with degenerate damping, dispersion, and source terms under Dirichlet boundary condition. Under some restrictions on the initial datum and standard conditions on relaxation functions, we study global existence and general decay of solutions. The results obtained here are generalization of the previous recent work. |
| format | Article |
| id | doaj-art-69be51d6977f43078a095f341f0f7cb0 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-69be51d6977f43078a095f341f0f7cb02025-02-03T01:25:09ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/43162384316238Global Existence and General Decay of Solutions for a Quasilinear System with Degenerate Damping TermsFatma Ekinci0Erhan Pișkin1Salah Mahmoud Boulaaras2Ibrahim Mekawy3Dicle University, Department of Mathematics, 21280 Diyarbakır, TurkeyDicle University, Department of Mathematics, 21280 Diyarbakır, TurkeyDepartment of Mathematics, College of Sciences and Arts, ArRas, Qassim University, Saudi ArabiaDepartment of Mathematics, College of Sciences and Arts, ArRas, Qassim University, Saudi ArabiaIn this work, we consider a quasilinear system of viscoelastic equations with degenerate damping, dispersion, and source terms under Dirichlet boundary condition. Under some restrictions on the initial datum and standard conditions on relaxation functions, we study global existence and general decay of solutions. The results obtained here are generalization of the previous recent work.http://dx.doi.org/10.1155/2021/4316238 |
| spellingShingle | Fatma Ekinci Erhan Pișkin Salah Mahmoud Boulaaras Ibrahim Mekawy Global Existence and General Decay of Solutions for a Quasilinear System with Degenerate Damping Terms Journal of Function Spaces |
| title | Global Existence and General Decay of Solutions for a Quasilinear System with Degenerate Damping Terms |
| title_full | Global Existence and General Decay of Solutions for a Quasilinear System with Degenerate Damping Terms |
| title_fullStr | Global Existence and General Decay of Solutions for a Quasilinear System with Degenerate Damping Terms |
| title_full_unstemmed | Global Existence and General Decay of Solutions for a Quasilinear System with Degenerate Damping Terms |
| title_short | Global Existence and General Decay of Solutions for a Quasilinear System with Degenerate Damping Terms |
| title_sort | global existence and general decay of solutions for a quasilinear system with degenerate damping terms |
| url | http://dx.doi.org/10.1155/2021/4316238 |
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