45 citations · 45 across the 4 of their papers we have counts for
7 papers · 1 filter
Anomalous dissipation and spontaneous stochasticity in deterministic surface quasi-geostrophic flow
Nicolas Valade, Simon Thalabard, Jeremie Bec
Surface quasi geostrophy (SQG) describes the two-dimensional active transport of a temperature field in a strongly stratified and rotating environment. Besides its relevance to geo…
From the butterfly effect to intrinsic randomness: the spontaneous growth of singular shear flows
Simon Thalabard, Jérémie Bec, Alexei Mailybaev
The butterfly effect is today commonly identified with the sensitive dependence of deterministic chaotic systems upon initial conditions. However, this is only one facet of the not…
Turbulence of generalised flows in two dimensions
Simon Thalabard, Jérémie Bec
This paper discusses the generalised least-action principle introduced by Brenier (J. Am. Math. Soc, 1989), from the perspective of turbulence modelling. In essence, Brenier's leas…
Phase transition in time-reversible Navier-Stokes equations
Vishwanath Shukla, Bérengère Dubrulle, Sergey Nazarenko +2
We present a comprehensive study of the statistical features of a three-dimensional time-reversible Navier-Stokes (RNS) system, wherein the standard viscosity is replaced by a…
A statistical mechanics framework for the large-scale structure of turbulent von K{á}rm{á}n flows
Simon Thalabard, Brice Saint-Michel, Éric Herbert +2
In the present paper, recent experimental results on large scale coherent steady states observed in experimental von K{á}rm{á}n flows are revisited from a statistical mechanics per…
Anomalous spectral laws in differential models of turbulence
Simon Thalabard, Sergey Nazarenko, Sebastien Galtier +1
Differential models for hydrodynamic, passive-scalar and wave turbulence given by nonlinear first- and second-order evolution equations for the energy spectrum in the -space wer…