2 citations · 2 across the 5 of their papers we have counts for
7 papers
Stability of inverse cascade in NLS Wave turbulence
Guillaume Costa, Sergey Nazarenko, Giorgio Krstulovic
We study the stability of the inverse cascade in the 3D Nonlinear Schrodinger Wave Kinetic Equation (WKE) in the presence and absence of a condensate. Using theoretical arguments s…
Universal self-similar evolution of two-dimensional acoustic turbulence in Bose-Einstein condensates
Guillaume Costa, Sergey Nazarenko, Giorgio Krstulovic
When driven out of equilibrium, a Bose-Einstein condensate develops nonlinearly interacting density waves that trigger a turbulent cascade, transferring energy toward small scales.…
Numerical investigations around the Gallavotti-Cohen Fluctuation Theorem on Log-lattices
Guillaume Costa, Bérengère Dubrulle
Using the recent concept of fluids projected onto Log-Lattices, we investigate the validity of the Gallavotti-Cohen Fluctuation Theorem (GCFT) in the context of fluid mechanics. Th…
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…
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…
Stability of stationary solutions in Acoustic wave turbulence
Guillaume Costa, Giorgio Krstulovic, Sergey Nazarenko
We study the stability of steady-state solutions of the Wave-Kinetic Equations for acoustic waves. Combining theoretical analysis and numerical simulations, we characterise the tim…
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…