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| HAL : hal-00732505, version 1 |
| arXiv : 1209.3379 |
| Fiche détaillée |  Récupérer au format |
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| Existence of self-similar profile for a kinetic annihilation model |
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| Véronique Bagland 1Bertrand Lods 2 |
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| (14/09/2012) |
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| We show the existence of a self-similar solution for a modified Boltzmann equation describing probabilistic ballistic annihilation. Such a model describes a system of hard-spheres such that, whenever two particles meet, they either annihilate with probability $\alpha \in (0,1)$ or they undergo an elastic collision with probability $1 - \alpha$. For such a model, the number of particles, the linear momentum and the kinetic energy are not conserved. We show that, for $\alpha$ smaller than some explicit threshold value $ \alpha_*$, a self-similar solution exists. |
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| 1 : | Laboratoire de Mathématiques |
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CNRS : UMR6620 – Université Blaise Pascal - Clermont-Ferrand II |
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| 2 : | Department of Statistics and Economics |
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Università degli studi di Torino |
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| Domaine | : | Mathématiques/Equations aux dérivées partielles |
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| Boltzmann equation – ballistic annihilation – self-similar solution. |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00732505, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00732505 | |
| oai:hal.archives-ouvertes.fr:hal-00732505 | |
| Contributeur : Bertrand Lods | |
| Soumis le : Vendredi 14 Septembre 2012, 19:07:29 | |
| Dernière modification le : Samedi 15 Septembre 2012, 11:19:45 | |
