Blow-Up Rate Estimates for a System of Reaction-Diffusion Equations with Gradient Terms
This paper is concerned with the blow-up properties of Cauchy and Dirichlet problems of a coupled system of Reaction-Diffusion equations with gradient terms. The main goal is to study the influence of the gradient terms on the blow-up profile. Namely, under some conditions on this system, we conside...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2019/9807876 |
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| _version_ | 1832563726241234944 |
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| author | Maan A. Rasheed Hassan Abd Salman Al-Dujaly Talat Jassim Aldhlki |
| author_facet | Maan A. Rasheed Hassan Abd Salman Al-Dujaly Talat Jassim Aldhlki |
| author_sort | Maan A. Rasheed |
| collection | DOAJ |
| description | This paper is concerned with the blow-up properties of Cauchy and Dirichlet problems of a coupled system of Reaction-Diffusion equations with gradient terms. The main goal is to study the influence of the gradient terms on the blow-up profile. Namely, under some conditions on this system, we consider the upper blow-up rate estimates for its blow-up solutions and for the gradients. |
| format | Article |
| id | doaj-art-b51a1fa04c97494b99522e30b72cbcfd |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-b51a1fa04c97494b99522e30b72cbcfd2025-02-03T01:12:42ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252019-01-01201910.1155/2019/98078769807876Blow-Up Rate Estimates for a System of Reaction-Diffusion Equations with Gradient TermsMaan A. Rasheed0Hassan Abd Salman Al-Dujaly1Talat Jassim Aldhlki2Department of Mathematics, College of Basic Education, Mustansiriyah University, Baghdad, IraqDepartment of Mathematics, College of Basic Education, Mustansiriyah University, Baghdad, IraqDepartment of Mathematics, College of Basic Education, Mustansiriyah University, Baghdad, IraqThis paper is concerned with the blow-up properties of Cauchy and Dirichlet problems of a coupled system of Reaction-Diffusion equations with gradient terms. The main goal is to study the influence of the gradient terms on the blow-up profile. Namely, under some conditions on this system, we consider the upper blow-up rate estimates for its blow-up solutions and for the gradients.http://dx.doi.org/10.1155/2019/9807876 |
| spellingShingle | Maan A. Rasheed Hassan Abd Salman Al-Dujaly Talat Jassim Aldhlki Blow-Up Rate Estimates for a System of Reaction-Diffusion Equations with Gradient Terms International Journal of Mathematics and Mathematical Sciences |
| title | Blow-Up Rate Estimates for a System of Reaction-Diffusion Equations with Gradient Terms |
| title_full | Blow-Up Rate Estimates for a System of Reaction-Diffusion Equations with Gradient Terms |
| title_fullStr | Blow-Up Rate Estimates for a System of Reaction-Diffusion Equations with Gradient Terms |
| title_full_unstemmed | Blow-Up Rate Estimates for a System of Reaction-Diffusion Equations with Gradient Terms |
| title_short | Blow-Up Rate Estimates for a System of Reaction-Diffusion Equations with Gradient Terms |
| title_sort | blow up rate estimates for a system of reaction diffusion equations with gradient terms |
| url | http://dx.doi.org/10.1155/2019/9807876 |
| work_keys_str_mv | AT maanarasheed blowuprateestimatesforasystemofreactiondiffusionequationswithgradientterms AT hassanabdsalmanaldujaly blowuprateestimatesforasystemofreactiondiffusionequationswithgradientterms AT talatjassimaldhlki blowuprateestimatesforasystemofreactiondiffusionequationswithgradientterms |