Global solutions of a strongly coupled reaction-diffusion system with different diffusion coefficients
We deal with a mathematical model for a four-component chemical reaction-diffusion process. The model is described by a system of strongly coupled reaction-diffusion equations with different diffusion rates. The existence of the global solution of this reaction-diffusion system in unbounded domain i...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2005-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/JAM.2005.23 |
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| _version_ | 1849409491306545152 |
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| author | L. W. Somathilake J. M. J. J. Peiris |
| author_facet | L. W. Somathilake J. M. J. J. Peiris |
| author_sort | L. W. Somathilake |
| collection | DOAJ |
| description | We deal with a mathematical model for a four-component chemical reaction-diffusion process. The model is described by a system of strongly coupled reaction-diffusion equations with different diffusion rates. The existence of the global solution of this reaction-diffusion system in unbounded domain is proved by using semigroup theory and estimates on the growth of solutions. |
| format | Article |
| id | doaj-art-7ceaaf6b8d974c25b17bbc110fabc1f1 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-7ceaaf6b8d974c25b17bbc110fabc1f12025-08-20T03:35:28ZengWileyJournal of Applied Mathematics1110-757X1687-00422005-01-0120051233610.1155/JAM.2005.23Global solutions of a strongly coupled reaction-diffusion system with different diffusion coefficientsL. W. Somathilake0J. M. J. J. Peiris1Department of Mathematics, University of Ruhuna, Matara, Sri LankaDepartment of Mathematics, University of Ruhuna, Matara, Sri LankaWe deal with a mathematical model for a four-component chemical reaction-diffusion process. The model is described by a system of strongly coupled reaction-diffusion equations with different diffusion rates. The existence of the global solution of this reaction-diffusion system in unbounded domain is proved by using semigroup theory and estimates on the growth of solutions.http://dx.doi.org/10.1155/JAM.2005.23 |
| spellingShingle | L. W. Somathilake J. M. J. J. Peiris Global solutions of a strongly coupled reaction-diffusion system with different diffusion coefficients Journal of Applied Mathematics |
| title | Global solutions of a strongly coupled reaction-diffusion system with different diffusion coefficients |
| title_full | Global solutions of a strongly coupled reaction-diffusion system with different diffusion coefficients |
| title_fullStr | Global solutions of a strongly coupled reaction-diffusion system with different diffusion coefficients |
| title_full_unstemmed | Global solutions of a strongly coupled reaction-diffusion system with different diffusion coefficients |
| title_short | Global solutions of a strongly coupled reaction-diffusion system with different diffusion coefficients |
| title_sort | global solutions of a strongly coupled reaction diffusion system with different diffusion coefficients |
| url | http://dx.doi.org/10.1155/JAM.2005.23 |
| work_keys_str_mv | AT lwsomathilake globalsolutionsofastronglycoupledreactiondiffusionsystemwithdifferentdiffusioncoefficients AT jmjjpeiris globalsolutionsofastronglycoupledreactiondiffusionsystemwithdifferentdiffusioncoefficients |