4 citations · 9 across the 9 of their papers we have counts for
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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…