Dissipation anomaly and energy cascade in 3D incompressible flows

Radu Dascaliuc; Zoran Grujić

doi:10.1016/j.crma.2012.01.009

Partial Differential Equations/Mathematical Physics

Dissipation anomaly and energy cascade in 3D incompressible flows

Presented by: the Editorial Board

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

Comptes Rendus. Mathématique, Volume 350 (2012) no. 3-4, pp. 199-202.

Abstract
Résumé

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.

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.

Received: 2011-07-13
Accepted: 2012-01-16
Published online: 2012-01-28

DOI: 10.1016/j.crma.2012.01.009

Author's affiliations:

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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     author = {Radu Dascaliuc and Zoran Gruji\'c},
     title = {Dissipation anomaly and energy cascade in {3D} incompressible flows},
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     language = {en},
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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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