33 citations · 33 across the 5 of their papers we have counts for
4 papers · 1 filter
Triad phase dynamics determine cascade direction in two-dimensional turbulence
Santiago J. Benavides, Miguel D. Bustamante
Despite their importance in turbulence theory, a unifying and predictive rule determining the direction of the cascades of conserved quantities is lacking. In this work, we show th…
(3+1)-dimensional compressible fluid as a (4+1)-dimensional Chern-Simons system
Miguel D. Bustamante, Laura Andrianopoli, Mario Trigiante +1
A fluid described by an Abelian Chern-Simons action principle in 4+1 dimensions is considered. Letting 3+1 dimensions correspond to the usual space and time, and assuming the field…
Singularity of the axisymmetric stagnation-point-like solution within a cylinder of the 3D Euler incompressible fluid equations
Yinshen Xu, Miguel D. Bustamante
In this paper we investigate analytically the formation of finite time singularities in the three dimensional incompressible Euler equations under the model of Gibbon, Fokas, and D…
Phase dynamics and their role determining energy flux in hydrodynamic shell models
Santiago J. Benavides, Miguel D. Bustamante
The transfer of energy and other conserved quantities across scales, also known as flux or spectral flux, is a central aspect of out-of-equilibrium systems such as turbulent hydrod…