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| HAL : hal-00690598, version 3 |
| arXiv : 1204.5275 |
| Fiche détaillée |  Récupérer au format |
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| Versions disponibles : | v1 (24-04-2012) | v2 (19-11-2012) | v3 (18-04-2013) |
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| A Rescaling Velocity Method for Dissipative Kinetic Equations - Applications to Granular Media |
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Francis Filbet 1Thomas Rey 1 |
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| (08/04/2013) |
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| We present a new numerical algorithm based on a relative energy scaling for collisional kinetic equations allowing to study numerically their long time behavior, without the usual problems related to the change of scales in velocity variables. It is based on the knowledge of the hydrodynamic limit of the model considered, but is able to compute solutions for either dilute or dense regimes. Several applications are presented for Boltzmann like equations. This method is particularly efficient for numerical simulations of the granular gases equation with dissipative energy: it allows to study accurately the long time behavior of this equation and is very well suited for the study of clustering phenomena. |
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| 1 : | Institut Camille Jordan (ICJ) |
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CNRS : UMR5208 – Université Claude Bernard - Lyon I – Ecole Centrale de Lyon – Institut National des Sciences Appliquées (INSA) - Lyon |
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| MMCS |
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| Domaine | : | Mathématiques/Equations aux dérivées partielles |
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| Boltzmann equation – spectral methods – boundary values problem – large time behavior – granular gases |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00690598, version 3 | |
| http://hal.archives-ouvertes.fr/hal-00690598 | |
| oai:hal.archives-ouvertes.fr:hal-00690598 | |
| Contributeur : Thomas Rey | |
| Soumis le : Mardi 16 Avril 2013, 16:37:41 | |
| Dernière modification le : Jeudi 18 Avril 2013, 08:55:52 | |
