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| HAL : hal-00488716, version 1 |
| Fiche détaillée |  Récupérer au format |
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| A modified least action principle allowing mass concentrations for the early universe reconstruction problem |
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| Yann Brenier 1, 2 |
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| (02/06/2010) |
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| We address the early universe reconstruction (EUR) problem (as considered by Frisch and coauthors), and the related Zeldovich approximate model. By substituting the fully nonlinear Monge-Ampere equation for the linear Poisson equation to model gravitation, we introduce a modified mathematical model, for which the Zeldovich approximation becomes exact. The MAG model enjoys a least action principle in which we can input mass concentration effects in a canonical way, based on the theory of gradient flows with convex potentials and somewhat related to the concept of self-dual Lagrangians developped by Ghoussoub. A fully discrete algorithm is introduced for the EUR problem in one space dimension |
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| 1 : | Laboratoire Jean Alexandre Dieudonné (JAD) |
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CNRS : UMR6621 – Université de Nice Sophia Antipolis (UNS) |
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| 2 : | Institut Wolfgang Döblin (IWD) |
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CNRS : FR2800 – Université de Nice Sophia Antipolis (UNS) |
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| Domaine | : | Mathématiques/Equations aux dérivées partielles |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00488716, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00488716 | |
| oai:hal.archives-ouvertes.fr:hal-00488716 | |
| Contributeur : Yann Brenier | |
| Soumis le : Mercredi 2 Juin 2010, 15:51:21 | |
| Dernière modification le : Jeudi 3 Juin 2010, 09:39:08 | |
