Anomalous Dissipation and Energy Cascade in 3D Inviscid Flows
نویسندگان
چکیده
Adopting the setting for the study of existence and scale locality of the energy cascade in 3D viscous flows in physical space recently introduced by the authors to 3D inviscid flows, it is shown that the anomalous dissipation is – in the case of decaying turbulence – indeed capable of triggering the cascade which then continues ad infinitum, confirming Onsager’s predictions.
منابع مشابه
Dissipation anomaly and energy cascade in 3D incompressible flows Dissipation anormale et cascade énergétique pour des fluides incompressibles tridimensionnels
Article history: Received 13 July 2011 Accepted after revision 16 January 2012 Available online 28 January 2012 Presented by the Editorial Board 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. ©...
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