3 papers
math.AP2026
Multiphase formulation of the Vlasov-Navier-Stokes equations
Valentin Lemarie
In this paper, we study a particular family of solutions of the Vlasov-Navier-Stokes system posed on (with ), and show their convergence to the unique solut…
math.AP2026
The Pressureless Euler--Navier--Stokes System
Valentin Lemarié
In this paper, we study the well-posedness of the pressureless Euler-Navier-Stokes system in (with ) in the critical regularity setting for a density close to .…
math.AP2025
The primitive equations for the ocean and atmosphere in anisotropic spaces
Valentin Lemarié
In this work, we study the well-posedness of the primitive equations for the ocean and the atmosphere on two specific domains: a bounded domain wi…