Mar 20 – 22, 2024
Institut de Mathématiques de Toulouse
Europe/Paris timezone

On the hydrostatic limit of the Euler-Boussinesq equations

Mar 20, 2024, 5:20 PM
30m
Amphithéâtre Laurent Schwartz, bâtiment 1R3 (Institut de Mathématiques de Toulouse)

Amphithéâtre Laurent Schwartz, bâtiment 1R3

Institut de Mathématiques de Toulouse

118 route de Narbonne\n31062 Toulouse Cedex

Speaker

Lucas Ertzbischoff

Description

I will talk about the hydrostatic approximation of the 2d Euler-Boussinesq system, describing the evolution of an inviscid stratified fluid where the vertical length scale is much smaller than the horizontal one. Even though of importance in oceanography, the justification of the hydrostatic limit in this context has remained an open problem. I will discuss some recent results showing that some instability mechanisms may prevent this limit to hold.

This is joint work with R. Bianchini (CNR Rome) and M. Coti Zelati (Imperial College London).

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