Existence of global solutions for a system of reaction-diffusion equations having a triangular matrix
We consider the system of reaction-diffusion equations $$displaylines{ u_{t}-aDelta u=eta-f(u,v)-alpha u,cr v_{t}-cDelta u-dDelta v=g(u,v)-sigma v. }$$ Our aim is to establish the existence of global classical solutions using the method used by Melkemi, Mokrane, and Youkana [19].
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| Format: | Article |
| Language: | English |
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Texas State University
2008-10-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2008/141/abstr.html |
| _version_ | 1818024054819389440 |
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| author | El Hachemi Daddiouaissa |
| author_facet | El Hachemi Daddiouaissa |
| author_sort | El Hachemi Daddiouaissa |
| collection | DOAJ |
| description | We consider the system of reaction-diffusion equations $$displaylines{ u_{t}-aDelta u=eta-f(u,v)-alpha u,cr v_{t}-cDelta u-dDelta v=g(u,v)-sigma v. }$$ Our aim is to establish the existence of global classical solutions using the method used by Melkemi, Mokrane, and Youkana [19]. |
| first_indexed | 2024-12-10T03:54:07Z |
| format | Article |
| id | doaj.art-c8c18de8a1704a779d56ae5cd19bd991 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-10T03:54:07Z |
| publishDate | 2008-10-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-c8c18de8a1704a779d56ae5cd19bd9912022-12-22T02:03:10ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912008-10-012008141,19Existence of global solutions for a system of reaction-diffusion equations having a triangular matrixEl Hachemi DaddiouaissaWe consider the system of reaction-diffusion equations $$displaylines{ u_{t}-aDelta u=eta-f(u,v)-alpha u,cr v_{t}-cDelta u-dDelta v=g(u,v)-sigma v. }$$ Our aim is to establish the existence of global classical solutions using the method used by Melkemi, Mokrane, and Youkana [19].http://ejde.math.txstate.edu/Volumes/2008/141/abstr.htmlReaction-diffusion systemsLyapunov functionalglobal solution |
| spellingShingle | El Hachemi Daddiouaissa Existence of global solutions for a system of reaction-diffusion equations having a triangular matrix Electronic Journal of Differential Equations Reaction-diffusion systems Lyapunov functional global solution |
| title | Existence of global solutions for a system of reaction-diffusion equations having a triangular matrix |
| title_full | Existence of global solutions for a system of reaction-diffusion equations having a triangular matrix |
| title_fullStr | Existence of global solutions for a system of reaction-diffusion equations having a triangular matrix |
| title_full_unstemmed | Existence of global solutions for a system of reaction-diffusion equations having a triangular matrix |
| title_short | Existence of global solutions for a system of reaction-diffusion equations having a triangular matrix |
| title_sort | existence of global solutions for a system of reaction diffusion equations having a triangular matrix |
| topic | Reaction-diffusion systems Lyapunov functional global solution |
| url | http://ejde.math.txstate.edu/Volumes/2008/141/abstr.html |
| work_keys_str_mv | AT elhachemidaddiouaissa existenceofglobalsolutionsforasystemofreactiondiffusionequationshavingatriangularmatrix |