4 citations · 9 across the 9 of their papers we have counts for
9 papers
Spontaneous stochasticity and anomalous dissipation in collapsing wave turbulence
Wandrille Ruffenach
We study a focusing Majda--McLaughlin--Tabak type equation undergoing finite-time wave collapse. This singularity terminates the classical smooth solution and opens a post-blowup r…
A Measure-Theoretic Approach to Spontaneous Stochasticity
Wandrille Ruffenach, Eric Simonnet, Nicolas Valade
Spontaneous stochasticity (SpSt), originating in Richardson's picture of turbulent dispersion and Lorenz's Eulerian view of finite-time loss of predictability, was later formulated…
Numerical study of probabilistic well-posedness of one dimensional fractional nonlinear wave equations
Wandrille Ruffenach, Nikolay Tzvetkov
The three dimensional cubic defocusing nonlinear wave equation is known to be ill-posed for general low regularity initial data. Well-posedness can however be recovered globally in…
The spatio-temporal statistical structure of the turbulent dissipation field and its stochastic representation as a Gaussian Multiplicative Chaos
Wandrille Ruffenach, Laurent Chevillard
The present article concerns the stochastic modeling of the turbulent dissipation field and in particular its temporal evolution. To do so, we will be calling for a random distribu…
Spontaneous stochasticity in the Armstrong-Vicol passive scalar
Wandrille Ruffenach, Eric Simonnet, Nicolas Valade
Spontaneous stochasticity refers to the emergence of intrinsic randomness in deterministic systems under singular limits, a phenomenon conjectured to be fundamental in turbulence.…
A spatio-temporal random synthetic turbulent velocity field: The underlying Gaussian structure
Matthieu Chatelain, Júlia Domingues Lemos, Wandrille Ruffenach +5
We develop, simulate and extend an initial proposition by Chaves et al. concerning a random incompressible vector field able to reproduce key ingredients of three-dimensional turbu…
A toy model of turbulent shear flow using vortons
Wandrille Ruffenach, Lucas Fery, Bérengère Dubrulle
We introduce a novel toy model for shear flows, exploiting the spatial intermittency and the scale separation between large-scale flows and small-scale structures. The model is hig…
Numerical simulations of a stochastic dynamics leading to cascades and loss of regularity: applications to fluid turbulence and generation of fractional Gaussian fields
Geoffrey Beck, Charles-Edouard Bréhier, Laurent Chevillard +2
Motivated by the modeling of the spatial structure of the velocity field of three-dimensional turbulent flows, and the phenomenology of cascade phenomena, a linear dynamics has bee…
Superfluid drain vortex
Wandrille Ruffenach, Luca Galantucci, Carlo F. Barenghi
Drain vortices are among the most common vortices observed in everyday life, yet their physics is complex due to the competition of vorticity's transport and diffusion, and the pre…