Comptes Rendus
no. 3-4
Partial Differential Equations/Mathematical Physics
Dissipation anomaly and energy cascade in 3D incompressible flows
[Dissipation anormale et cascade énergétique pour des fluides incompressibles tridimensionnels]

Présenté par : the Editorial Board

Radu Dascaliuc1 ; Zoran Grujić2
1 Department of Mathematics, Oregon State University, Corvallis, OR 97332, USA
2 Department of Mathematics, University of Virginia, Charlottesville, VA 22904, USA
Comptes Rendus. Mathématique, Volume 350 (2012) no. 3-4, pp. 199-202.

Le but de cette Note est de présenter une mise en évidence mathématique de la dissipation anormale pour des flots turbulents tridimensionnels, dans un cadre général récemment introduit par les auteurs pour lʼétude de la cascade énergétique aux échelles physiques dans les fluides incompressibles en trois dimensions.

The purpose of this Note is to present a mathematical evidence of the dissipation anomaly in 3D turbulent flows within a general setting for the study of energy cascade in physical scales of 3D incompressible flows recently introduced by the authors.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2012.01.009
Radu Dascaliuc 1 ; Zoran Grujić 2

1 Department of Mathematics, Oregon State University, Corvallis, OR 97332, USA
2 Department of Mathematics, University of Virginia, Charlottesville, VA 22904, USA 
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Radu Dascaliuc; Zoran Grujić. Dissipation anomaly and energy cascade in 3D incompressible flows. Comptes Rendus. Mathématique, Volume 350 (2012) no. 3-4, pp. 199-202. doi : 10.1016/j.crma.2012.01.009. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2012.01.009/

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