3 papers
nlin.CD2025
Behind the mirror: the hidden dissipative singular solutions of ideal reversible fluids on log-lattices
Guillaume Costa, Amaury Barral, Adrien Lopez +2
Empirical observations show that turbulence exhibits a broad range of scaling exponents, characterizing how the velocity gradients diverge in the inviscid limit. These exponents ar…
physics.flu-dyn2025
Efficiency of turbulence
A Lopez, A Barral, G Costa +3
We consider the efficiency of turbulence, a dimensionless parameter that characterises the fraction of the input energy stored into a turbulent flow field. We first show that the i…
math.AP2023
Tracking complex singularities of fluids on log-lattices
Quentin Pikeroen, Amaury Barral, Guillaume Costa +3
In 1981, Frisch and Morf [1] postulated the existence of complex singularities in solutions of Navier-Stokes equations. Present progress on this conjecture is hindered by the compu…