Comptes Rendus
no. 7
Model reduction, data-based and advanced discretization in computational mechanics
On the physical interpretation of fractional diffusion
Enrique Nadal1  ; Emmanuelle Abisset-Chavanne2 ; Elias Cueto3 ; Francisco Chinesta4 
1 Research Centre on Mechanical Engineering (CIIM), Universitat Politècnica de València, Camino de Vera s/n, 46071 Valencia, Spain
2 High Performance Computing Institute & ESI GROUP Chair, École centrale de Nantes, 1, rue de la Noë, BP 92101, 44321 Nantes cedex 3, France
3 I3A, University of Zaragoza, Maria de Luna s/n, 50018 Zaragoza, Spain
4 PIMM Laboratory & ESI GROUP Chair, ENSAM ParisTech, 151, boulevard de l'Hôpital, 75013 Paris, France
Comptes Rendus. Mécanique, Volume 346 (2018) no. 7, pp. 581-589.

Even if the diffusion equation has been widely used in physics and engineering, and its physical content is well understood, some variants of it escape fully physical understanding. In particular, anormal diffusion appears in the so-called fractional diffusion equation, whose main particularity is its non-local behavior, whose physical interpretation represents the main part of the present work.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2018.04.004
Mots clés : Fractional calculus, Anomalous diffusion, Non-local models
Enrique Nadal 1 ; Emmanuelle Abisset-Chavanne 2 ; Elias Cueto 3 ; Francisco Chinesta 4

1 Research Centre on Mechanical Engineering (CIIM), Universitat Politècnica de València, Camino de Vera s/n, 46071 Valencia, Spain
2 High Performance Computing Institute & ESI GROUP Chair, École centrale de Nantes, 1, rue de la Noë, BP 92101, 44321 Nantes cedex 3, France
3 I3A, University of Zaragoza, Maria de Luna s/n, 50018 Zaragoza, Spain
4 PIMM Laboratory & ESI GROUP Chair, ENSAM ParisTech, 151, boulevard de l'Hôpital, 75013 Paris, France 
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Enrique Nadal; Emmanuelle Abisset-Chavanne; Elias Cueto; Francisco Chinesta. On the physical interpretation of fractional diffusion. Comptes Rendus. Mécanique, Volume 346 (2018) no. 7, pp. 581-589. doi : 10.1016/j.crme.2018.04.004. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2018.04.004/

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