4 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…
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…