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| HAL : hal-00372932, version 1 |
| DOI : 10.3934/dcdsb.2009.11.xx |
| Fiche détaillée |  Récupérer au format |
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| Discrete and Continuous Dynamical Systems - Series B 11, 4 (2009) 805-822 |
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| Global Existence and internal stabilization for a reaction-diffusion system posed on non coincident spatial domains |
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| Sebastian AnitaW.E. Fitzgibbon |
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| (01/06/2009) |
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| We consider a two-component Reaction-Diffusion system posed on non coincident spatial domains and featuring a reaction term involving an integral kernel. The question of global existence of componentwise nonnega- tive solutions is assessed. Then we investigate the stabilization of one of the solution components to zero via an internal control distributed on a small sub- domain while preserving nonnegativity of both components. Our results apply to predator-prey systems. |
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| 1 : | Institut de Mathématiques de Bordeaux (IMB) |
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CNRS : UMR5251 – Université Sciences et Technologies - Bordeaux I – Université Victor Segalen - Bordeaux II |
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| 2 : | ANUBIS (INRIA Bordeaux - Sud-Ouest) |
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INRIA – Université Sciences et Technologies - Bordeaux I – Université Victor Segalen - Bordeaux II – CNRS : UMR |
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| Domaine | : | Mathématiques/Equations aux dérivées partielles |
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| Reaction-diffusion systems – non coincident spatial domains – global existence – stabilization – principal eigenvalue – predator-prey model |
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| hal-00372932, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00372932 | |
| oai:hal.archives-ouvertes.fr:hal-00372932 | |
| Contributeur : Michel Langlais | |
| Soumis le : Jeudi 2 Avril 2009, 17:49:59 | |
| Dernière modification le : Vendredi 2 Octobre 2009, 14:57:44 | |
