22 citations · 71 across the 15 of their papers we have counts for
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Coherent vortex structures and 3D enstrophy cascade
R. Dascaliuc, Z. Grujić
Existence of 2D enstrophy cascade in a suitable mathematical setting, and under suitable conditions compatible with 2D turbulence phenomenology, is known both in the Fourier and in…
Energy cascades and flux locality in physical scales of the 3D Navier-Stokes equations
R. Dascaliuc, Z. Grujic
Rigorous estimates for the total - (kinetic) energy plus pressure - flux in R^3 are obtained from the three dimensional Navier-Stokes equations. The bounds are used to establish a…
Dissipation anomaly and energy cascade in 3D incompressible flows
Radu Dascaliuc, Zoran Grujić
The purpose of this note is to present a mathematical evidence of dissipation anomaly in 3D turbulent flows within a general setting for the study of energy cascade in physical sca…
Anomalous dissipation and energy cascade in 3D inviscid flows
Radu Dascaliuc, Zoran Grujić
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 flo…
2D turbulence in physical scales of the Navier-Stokes equations
R. Dascaliuc, Z. Grujic
Local analysis of the two dimensional Navier-Stokes equations is used to obtain estimates on the energy and enstrophy fluxes involving Taylor and Kraichnan length scales and the si…