79 citations · 443 across the 55 of their papers we have counts for
60 papers
Initial layer instability of the kinetic Lamb-Oseen Vortex
Michele Dolce, Isabelle Gallagher
It is well-known that solutions to the incompressible Navier-Stokes system are limits in various contexts (weak or strong), of solutions to the Boltzmann equation, when the Mach an…
Falsification of a Vision-based Automatic Landing System
Sara Shoouri, Shayan Jalili, Jiahong Xu +5
At smaller airports without an instrument approach or advanced equipment, automatic landing of aircraft is a safety-critical task that requires the use of sensors present on the ai…
A Linear Stochastic Model of Turbulent Cascades and Fractional Fields
Gabriel B. Apolinário, Geoffrey Beck, Laurent Chevillard +2
Turbulent cascades characterize the transfer of energy injected by a random force at large scales towards the small scales. In hydrodynamic turbulence, when the Reynolds number is…
Dynamics of dilute gases at equilibrium: from the atomistic description to fluctuating hydrodynamics
Thierry Bodineau, Isabelle Gallagher, Laure Saint-Raymond +1
We derive linear fluctuating hydrodynamics as the low density limit of a deterministic system of particles at equilibrium. The proof builds upon previous results of the authors whe…
Spectral summability for the quartic oscillator with applications to the Engel group
Hajer Bahouri, Davide Barilari, Isabelle Gallagher +1
In this article, we investigate spectral properties of the sublaplacian on the Engel group, which is the main example of a Carnot group of step 3. We develop a new approac…
Cluster expansion for a dilute hard sphere gas dynamics
Thierry Bodineau, Isabelle Gallagher, Laure Saint-Raymond +1
In [7], a cluster expansion method has been developed to study the fluctuations of the hard sphere dynamics around the Boltzmann equation. This method provides a precise control on…