3 papers
math.PR2026
Ergodicity for a class of stochastic Hasegawa-Mima equations with dissipation
Federico Butori, Ciro Campolina, Franco Flandoli
This work deals with the ergodicity for the stochastic dissipative Hasegawa-Mima equations in a bounded domain and perturbed by additive noise. The uniqueness of the invariant meas…
physics.flu-dyn2025
Spontaneous stochasticity in the fluctuating Navier-Stokes equations on a logarithmic lattice
Erika Ortiz, Ciro S. Campolina, Alexei A. Mailybaev
The predictability of turbulent flows remains a challenging problem for mathematicians, physicists, and meteorologists. In this context, we consider the 3D incompressible Navier-St…
physics.flu-dyn2025
Non-unique self-similar blowups in shell models: insights from dynamical systems and machine-learning
Ciro Campolina, Eric Simonnet, Simon Thalabard
Strong numerical hints exist in favor of a universal blowup scenario in the Sabra shell model, a popular cascade model of 3D turbulence, which features complex velocity variables o…