628 citations · 2.8k across the 65 of their papers we have counts for
19 papers · 1 filter
Wave turbulence theory of odd fluids and solids: kinetic equations and solutions
Xander M. de Wit, Léo Touzo, Sébastien Galtier +3
The theory of wave turbulence describes the properties of physical systems composed of a set of weak-amplitude random waves interacting nonlinearly. Here, we study odd wave turbule…
Odd wave turbulence
Xander M. de Wit, Léo Touzo, Sébastien Galtier +3
Wave turbulence describes the statistical dynamics of weakly interacting waves in out-of-equilibrium systems. These systems are out of equilibrium because forcing and dissipation o…
Wave turbulence: A solvable problem applied to Navier-Stokes
Sebastien Galtier
Wave turbulence and eddy turbulence are the two regimes that we may encounter in nature. The attention of fluid mechanics being mainly focused on incompressible hydrodynamics, it i…
A multiple time scale approach for anisotropic inertial wave turbulence
Sebastien Galtier
Wave turbulence is the study of the long-time statistical behaviour of equations describing a set of weakly non-linear interacting waves. Such a theory, which has a natural asympto…
Locality of triad interaction and Kolmogorov constant in inertial wave turbulence
Vincent David, Sébastien Galtier
Using the theory of wave turbulence for rapidly rotating incompressible fluids derived by Galtier (2003), we find the locality conditions that the solutions of the kinetic equation…
Magnetic effects on fields morphologies and reversals in geodynamo simulations
Mélissa D. Menu, Ludovic Petitdemange, Sébastien Galtier
The dynamo effect is the most popular candidate to explain the non-primordial magnetic fields of astrophysical objects. Although many systematic studies of parameters have already…
Wave turbulence: the case of capillary waves (a review)
Sebastien Galtier
Capillary waves are perhaps the simplest example to consider for an introduction to wave turbulence. Since the first paper by Zakharov and Filonenko (1967), capillary wave turbulen…
Inverse cascade of hybrid helicity in -MHD turbulence
Mélissa D. Menu, Sébastien Galtier, Ludovic Petitdemange
We investigate the impact of a solid-body rotation on the large-scale dynamics of an incompressible magnetohydrodynamic turbulent flow in presence of a background magnetic fi…
On exact laws in incompressible Hall magnetohydrodynamic turbulence
Renaud Ferrand, Sébastien Galtier, Fouad Sahraoui +3
A comparison is made between several existing exact laws in incompressible Hall magnetohydrodynamic (IHMHD) turbulence in order to show their equivalence, despite stemming from dif…
An alternative formulation for exact scaling relations in hydrodynamic and magnetohydrodynamic turbulence
Supratik Banerjee, Sebastien Galtier
We propose an alternative formulation for the exact relations in three-dimensional homogeneous turbulence using two-point statistics. Our finding is illustrated with incompressible…
Chiral Exact Relations for Helicities in Hall Magnetohydrodynamic Turbulence
Supratik Banerjee, Sebastien Galtier
Besides total energy, three-dimensional incompressible Hall magnetohydrodynamics (MHD) possesses two inviscid invariants which are the magnetic helicity and the generalized helicit…
Direct Evidence of the Transition from Weak to Strong MHD Turbulence
Romain Meyrand, Sebastien Galtier, Khurom H. Kiyani
One of the most important predictions in magnetohydrodynamics (MHD) is that in the presence of a uniform magnetic field a transition from weak to strong wave turbu…
Anomalous spectral laws in differential models of turbulence
Simon Thalabard, Sergey Nazarenko, Sebastien Galtier +1
Differential models for hydrodynamic, passive-scalar and wave turbulence given by nonlinear first- and second-order evolution equations for the energy spectrum in the -space wer…
Theory for helical turbulence under fast rotation
Sebastien Galtier
Recent numerical simulations have shown the strong impact of helicity on \ADD{homogeneous} rotating hydrodynamic turbulence. The main effect can be summarized through the following…
A Kolmogorov-Like Exact Relation for Compressible Polytropic Turbulence
Supratik Banerjee, Sébastien Galtier
Compressible hydrodynamic turbulence is studied under the assumption of a polytropic closure. Following Kolmogorov, we derive an exact relation for some two-point correlation funct…
Exact Relation with Two-point Correlation Functions and Phenomenological Approach for Compressible Magnetohydrodynamic Turbulence
Supratik Banerjee, Sébastien Galtier
Compressible isothermal magnetohydrodynamic turbulence is analyzed under the assumption of statistical homogeneity and in the asymptotic limit of large kinetic and magnetic Reynold…
Development of Anisotropy in Incompressible Magnetohydrodynamic Turbulence
Barbara Bigot, Sebastien Galtier, Helene Politano
We present a set of three-dimensional (3D) direct numerical simulations of incompressible decaying magnetohydrodynamic turbulence in which we investigate the influence of an extern…
Energy decay laws in strongly anisotropic MHD turbulence
Barbara Bigot, Sebastien Galtier, Helene Politano
We investigate the influence of a uniform magnetic field on energy decay laws in incompressible magnetohydrodynamic (MHD) turbulence. The nonlinear transfer red…
Anisotropic fluxes and nonlocal interactions in MHD turbulence
A. Alexakis, B. Bigot, H. Politano
We investigate the locality or nonlocality of the energy transfer and of the spectral interactions involved in the cascade for decaying magnetohydrodynamic (MHD) flows in the prese…