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| HAL : hal-00694908, version 2 |
| arXiv : 1205.1420 |
| Fiche détaillée |  Récupérer au format |
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| Versions disponibles : | v1 (07-05-2012) | v2 (06-03-2013) |
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| Large-time Behavior of the Solutions to Rosenau Type Approximations to the Heat Equation |
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Thomas Rey 1Giuseppe Toscani 2 |
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| (04/03/2013) |
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| In this paper we study the large-time behavior of the solution to a general Rosenau type approximation to the heat equation, by showing that the solution to this approximation approaches the fundamental solution of the heat equation at a sub-optimal rate. The result is valid in particular for the central differences scheme approximation of the heat equation, a property which to our knowledge has never been observed before. |
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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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| 2 : | Dipartimento di matematica F. Casorati |
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Università degli studi di Pavia |
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| MMCS |
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| Domaine | : | Mathématiques/Equations aux dérivées partielles |
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| heat equation – large time behavior – rosenau approximation – Fourier metrics – central differences scheme |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00694908, version 2 | |
| http://hal.archives-ouvertes.fr/hal-00694908 | |
| oai:hal.archives-ouvertes.fr:hal-00694908 | |
| Contributeur : Thomas Rey | |
| Soumis le : Mercredi 6 Mars 2013, 15:42:15 | |
| Dernière modification le : Mercredi 6 Mars 2013, 16:27:01 | |
