Weak Solution to a Parabolic Nonlinear System Arising in Biological Dynamic in the Soil
We study a nonlinear parabolic system governing the biological dynamic in the soil. We prove global existence (in time) and uniqueness of weak and positive solution for this reaction-diffusion semilinear system in a bounded domain, completed with homogeneous Neumann boundary conditions and positive...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2011/831436 |
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| _version_ | 1832563944714141696 |
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| author | Côme Goudjo Babacar Lèye Mamadou Sy |
| author_facet | Côme Goudjo Babacar Lèye Mamadou Sy |
| author_sort | Côme Goudjo |
| collection | DOAJ |
| description | We study a nonlinear parabolic system governing the biological dynamic in the soil. We prove global existence (in time) and uniqueness of weak and positive solution for this reaction-diffusion semilinear system in a bounded domain, completed with homogeneous Neumann boundary conditions and positive initial conditions. |
| format | Article |
| id | doaj-art-dc00ff79d55a405db6d098fca3e1a034 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-dc00ff79d55a405db6d098fca3e1a0342025-02-03T01:12:11ZengWileyInternational Journal of Differential Equations1687-96431687-96512011-01-01201110.1155/2011/831436831436Weak Solution to a Parabolic Nonlinear System Arising in Biological Dynamic in the SoilCôme Goudjo0Babacar Lèye1Mamadou Sy2Département de Mathématiques, Faculté des Sciences, Université d'Abomey Calavi, Cotonou, BeninLaboratoire d'Analyse Numérique et Informatique (LANI), IRD, Antenne de Saint-Louis Université Gaston Berger de Saint-Louis, UFR SAT, Umi-Ummisco 209, BP 234 Saint-Louis, SenegalLaboratoire d'Analyse Numérique et Informatique (LANI), IRD, Antenne de Saint-Louis Université Gaston Berger de Saint-Louis, UFR SAT, Umi-Ummisco 209, BP 234 Saint-Louis, SenegalWe study a nonlinear parabolic system governing the biological dynamic in the soil. We prove global existence (in time) and uniqueness of weak and positive solution for this reaction-diffusion semilinear system in a bounded domain, completed with homogeneous Neumann boundary conditions and positive initial conditions.http://dx.doi.org/10.1155/2011/831436 |
| spellingShingle | Côme Goudjo Babacar Lèye Mamadou Sy Weak Solution to a Parabolic Nonlinear System Arising in Biological Dynamic in the Soil International Journal of Differential Equations |
| title | Weak Solution to a Parabolic Nonlinear System Arising in Biological Dynamic in the Soil |
| title_full | Weak Solution to a Parabolic Nonlinear System Arising in Biological Dynamic in the Soil |
| title_fullStr | Weak Solution to a Parabolic Nonlinear System Arising in Biological Dynamic in the Soil |
| title_full_unstemmed | Weak Solution to a Parabolic Nonlinear System Arising in Biological Dynamic in the Soil |
| title_short | Weak Solution to a Parabolic Nonlinear System Arising in Biological Dynamic in the Soil |
| title_sort | weak solution to a parabolic nonlinear system arising in biological dynamic in the soil |
| url | http://dx.doi.org/10.1155/2011/831436 |
| work_keys_str_mv | AT comegoudjo weaksolutiontoaparabolicnonlinearsystemarisinginbiologicaldynamicinthesoil AT babacarleye weaksolutiontoaparabolicnonlinearsystemarisinginbiologicaldynamicinthesoil AT mamadousy weaksolutiontoaparabolicnonlinearsystemarisinginbiologicaldynamicinthesoil |