Abstract
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.
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Communicated by P. Constantin
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Dascaliuc, R., Grujić, Z. Anomalous Dissipation and Energy Cascade in 3D Inviscid Flows. Commun. Math. Phys. 309, 757–770 (2012). https://doi.org/10.1007/s00220-011-1382-y
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DOI: https://doi.org/10.1007/s00220-011-1382-y