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| HAL : hal-00601403, version 1 |
| DOI : 10.1137/080735655 |
| Fiche détaillée |  Récupérer au format |
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| Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal 8, 4 (2010) 1244-1268 |
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| A coupled Boltzmann & Navier-Stokes fragmentation model induced by a fluid-particle-spring interaction |
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| Pierre-Emmanuel Jabin 1Juan Soler |
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| TOSCA Collaboration(s) |
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| (2010) |
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| This paper is concerned with the modelling and analysis of the interaction between particles and fluids with particular regarding to fragmentation processes. We simplify the model by assuming that the particles are constituted by spheres jointed by springs. Then the aim is to deduce the terms appearing in the Navier-Stokes-type equations for the fluid and the counterpart influence in the Boltznmann system for the particles. The resulting coupled system is analysed by means of a refined averaging lemma. |
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| 1 : | TOSCA (INRIA Sophia Antipolis / INRIA Lorraine / IECN) |
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INRIA – CNRS : UMR7502 – Université Henri Poincaré - Nancy I – Université Nancy II – Institut National Polytechnique de Lorraine (INPL) |
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| Domaine | : | Mathématiques/Physique mathématique Mathématiques/Equations aux dérivées partielles |
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| fragmentation kernels – kinetic equations – Boltzmann equation – coagulation kernels – sprays – polymers – Navier-Stokes equation |
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| hal-00601403, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00601403 | |
| oai:hal.archives-ouvertes.fr:hal-00601403 | |
| Contributeur : Stéphanie Jourdan | |
| Soumis le : Vendredi 17 Juin 2011, 15:33:19 | |
| Dernière modification le : Vendredi 17 Juin 2011, 15:33:19 | |
