3 papers
math.AP2026
A linear model of separation for western boundary currents with bathymetry and stratification
Anne-Laure Dalibard, Corentin Gentil
This paper is devoted to the asymptotic analysis of strongly rotating and stratified fluids, under a -plane approximation, and within a three-dimensional spatial domain with str…
math.AP2024
Strichartz estimates for geophysical fluid equations using Fourier restriction theory
Corentin Gentil, Côme Tabary
We prove Strichartz estimates for the semigroups associated to stratified and/or rotating inviscid geophysical fluids using Fourier restriction theory. We prove new results for rot…
math.AP2021
A remark on restriction theorems and their application to Strichartz estimates
Corentin Gentil, Côme Tabary
We present an elementary approach to prove restriction theorems for particular surfaces for which the Tomas-Stein theorem does not apply, which in turn provide short proofs for wel…