4 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.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 wit…
math.AP2025
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.AP2024
From anisotropic Navier-Stokes equations to primitive equations for the ocean and atmosphere
Valentin Lemarié
We study the well-posedness of the primitive equations for the ocean and atmosphere on two particular domains : a bounded domain with periodic boundary condition…