3 papers
physics.flu-dyn2026
Numerical study of the sharp stratification limit towards bilayer models
Théo Fradin
In the study of oceanic flows at the geophysical scale, the phenomenon of density stratification plays a central role in the dynamics of the system. Two categories of mathematical…
math.AP2025
Well-posedness of the Euler equations in a stably stratified ocean in isopycnal coordinates
Théo Fradin
This article is concerned with the well-posedness of the incompressible Euler equations describing a stably stratified ocean, reformulated in isopycnal coordinates. Our motivation…
math.AP2025
Free-surface Euler equations with density variations, and shallow-water limit
Théo Fradin
In this paper we study the well-posedness in Sobolev spaces of the incompressible Euler equations in an infinite strip delimited from below by a non-flat bottom and from above by a…