APDE seminar@UPV/EHU: Continuous density variations in the ocean

Data: Og, Urr 9 2025

Ordua: 12:00 - 13:00

Lekua: UPV/EHU (Leioa)

Hizlariak: Théo Fradin (University of Bordeaux)

Abstract

The aim of this talk is to study the well-posedness of the incompressible Euler equations in an oceanic setting, including continuous density variations. Because of specific features of our setting (presence of a free-surface, small scale ratios, i.e. the shallow water parameter), a first approach will consist in studying the case of small density variations, which will lead to the justification of the well-known non-linear shallow water equations. We then move to a case where large density variations can be studied, which is when the density is strictly decreasing with height. This setting of so-called stable stratification is widely used in the study of geophysical flows, and is one of the main ingredients that contribute to the global oceanic circulation, regulating the Earth' climate.

Antolatzaileak:

APDE Bilbao (BCAM & UPV/EHU)

Hizlari baieztatuak:

Théo Fradin - University of Bordeaux