3 citations · 7 across the 5 of their papers we have counts for
6 papers
Multiphasic formulation of Vlasov equations and applications
Aymeric Baradat, Lucas Ertzbischoff, Daniel Han-Kwan
This work is a mathematical study of the multiphasic formulation of the Vlasov equation, which consists in recasting this collisionless kinetic equation as a system of coupled pres…
Ill-posedness of the hydrostatic Euler-Boussinesq equations and failure of hydrostatic limit
Roberta Bianchini, Michele Coti Zelati, Lucas Ertzbischoff
We investigate the hydrostatic approximation for inviscid stratified fluids, described by the two-dimensional Euler-Boussinesq equations in a periodic channel. Through a perturbati…
On well-posedness for thick spray equations
Lucas Ertzbischoff, Daniel Han-Kwan
In this paper, we prove the local in time well-posedness of thick spray equations in Sobolev spaces, for initial data satisfying a Penrose-type stability condition. This system is…
Global derivation of a Boussinesq-Navier-Stokes type system from fluid-kinetic equations
Lucas Ertzbischoff
We study a hydrodynamic limit of the Vlasov-Navier-Stokes system with external gravity force, following the framework introduced by Han-Kwan and Michel in [Han-Kwan - Michel, arXiv…
Decay and absorption for the Vlasov-Navier-Stokes system with gravity in a half-space
Lucas Ertzbischoff
This paper is devoted to the large time behavior of weak solutions to the three-dimensional Vlasov-Navier-Stokes system set on the half-space, with an external gravity force. This…
Concentration versus absorption for the Vlasov-Navier-Stokes system on bounded domains
Lucas Ertzbischoff, Daniel Han-Kwan, Ayman Moussa
We study the large time behavior of small data solutions to the Vlasov-Navier-Stokes system set on , for a smooth bounded domain of , with h…