2 papers
math.AP2024
Rigorous derivation of damped-driven wave turbulence theory
Ricardo Grande, Zaher Hani
We provide a rigorous justification of various kinetic regimes exhibited by the nonlinear Schrödinger equation with an additive stochastic forcing and a viscous dissipation. The im…
physics.flu-dyn2024
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…