72 citations · 287 across the 17 of their papers we have counts for
17 papers
Well posedness for systems of self-propelled particles
Marc Briant, Nicolas Meunier
This paper deals with the existence and uniqueness of solutions to kinetic equations describing alignment of self-propelled particles. The particularity of these models is that the…
Cauchy theory for general Vicsek models in collective dynamics and mean-field limit approximations
Marc Briant, Antoine Diez, Sara Merino-Aceituno
In this paper we provide a local Cauchy theory both on the torus and in the whole space for general Vicsek dynamics at the kinetic level. We consider rather general interaction ker…
Rigorous derivation of the Fick cross-diffusion system from the multi-species Boltzmann equation in the diffusive scaling
Marc Briant, Bérénice Grec
We present the arising of the Fick cross-diffusion system of equations for fluid mixtures from the multi-species Boltzmann in a rigorous manner in Sobolev spaces. To this end, we f…
Stability of the Maxwell-Stefan system in the diffusion asymptotics of the Boltzmann multi-species equation
Andrea Bondesan, Marc Briant
We investigate the diffusion asymptotics of the Boltzmann equation for gaseous mixtures, in the perturbative regime around a local Maxwellian vector whose fluid quantities solve a…
Perturbative Cauchy theory for a flux-incompressible Maxwell-Stefan system
Marc Briant, Andrea Bondesan
Recently, the authors proved [2] that the Maxwell-Stefan system with an incompressibility-like condition on the total flux can be rigorously derived from the multi-species Boltzman…
The Boltzmann equation with an external force on the torus: Incompressible Navier-Stokes-Fourier hydrodynamical limit
Marc Briant, Arnaud Debussche, Julien Vovelle
We study the Boltzmann equation with external forces, not necessarily deriving from a potential, in the incompressible Navier-Stokes perturbative regime. On the torus, we establish…