31 citations · 55 across the 8 of their papers we have counts for
5 papers · 1 filter
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…
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…
Logarithmic lattice models for flows with boundaries
Ciro S. Campolina, Alexei A. Mailybaev
Many fundamental problems in fluid dynamics are related to the effects of solid boundaries. In general, they install sharp gradients and contribute to the developement of small-sca…
Fluid dynamics on logarithmic lattices
Ciro S. Campolina, Alexei A. Mailybaev
Open problems in fluid dynamics, such as the existence of finite-time singularities (blowup), explanation of intermittency in developed turbulence, etc., are related to multi-scale…
Chaotic blowup in the 3D incompressible Euler equations on a logarithmic lattice
Ciro S. Campolina, Alexei A. Mailybaev
The dispute on whether the three-dimensional (3D) incompressible Euler equations develop an infinitely large vorticity in a finite time (blowup) keeps increasing due to ambiguous r…