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Laboratoire Jacques-Louis Lions |  |
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Laboratoire Jacques-Louis Lions | |
| HAL : hal-00490511, version 1 |
| DOI : 10.3934/dcdsb.2012.17.1427 |
| Fiche détaillée |  Récupérer au format |
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| Discrete and Continuous Dynamical Systems - Series B 17, 5 (2012) 1427-1440 |
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| A mathematical and numerical analysis of the Maxwell-Stefan diffusion equations |
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| Laurent Boudin 1, 2Bérénice Grec 3 |
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| (2012) |
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| We consider the Maxwell-Stefan model of diffusion in a multicomponent gaseous mixture. After focusing on the main differences with the Fickian diffusion model, we study the equations governing a three-component gas mixture. We provide a qualitative and quantitative mathematical analysis of the model. The main properties of the standard explicit numerical scheme are also analyzed. We eventually include some numerical simulations pointing out the uphill diffusion phenomenon. |
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| 1 : | Laboratoire Jacques-Louis Lions (LJLL) |
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CNRS : UMR7598 – Université Pierre et Marie Curie [UPMC] - Paris VI |
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| 2 : | REO (INRIA Paris-Rocquencourt) |
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INRIA – Laboratoire Jacques-Louis Lions |
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| 3 : | Mathématiques appliquées Paris 5 (MAP5) |
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CNRS : UMR8145 – Université Paris V - Paris Descartes |
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| 4 : | Dipartimento di matematica F. Casorati |
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Università degli studi di Pavia |
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| Domaine | : | Mathématiques/Equations aux dérivées partielles Mathématiques/Analyse numérique |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00490511, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00490511 | |
| oai:hal.archives-ouvertes.fr:hal-00490511 | |
| Contributeur : Bérénice Grec | |
| Soumis le : Mardi 8 Juin 2010, 18:44:39 | |
| Dernière modification le : Mardi 4 Décembre 2012, 08:41:39 | |
