Download this article
Download this article For screen
For printing
Recent Issues
Volume 5, Issue 1
Volume 4, Issue 4
Volume 4, Issue 3
Volume 4, Issue 2
Volume 4, Issue 1
Volume 3, Issue 4
Volume 3, Issue 3
Volume 3, Issue 2
Volume 3, Issue 1
Volume 2, Issue 4
Volume 2, Issue 3
Volume 2, Issue 2
Volume 2, Issue 1
Volume 1, Issue 4
Volume 1, Issue 3
Volume 1, Issue 2
Volume 1, Issue 1
The Journal
About the Journal
Statement, 2023
Editorial Board
Submission Guidelines
Submission Form
Policies for Authors
Ethics Statement
ISSN (electronic): 2576-7666
ISSN (print): 2576-7658
Author Index
To Appear
Other MSP Journals
Asymptotics for the rotating fluids and primitive systems with large ill-prepared initial data in critical spaces

Frédéric Charve

Vol. 5 (2023), No. 1, 171–213

We study the lifespan and asymptotics (in the large rotation and stratification regime) for the primitive system for highly ill-prepared initial data in critical spaces. Compared to our previous works, we simplified the proof and made it adaptable to the rotating fluids system with highly ill-prepared initial data decomposed as a sum of a 2D horizontal part and a very large 3D part. We also provide explicit convergence rates.

rotating fluids, primitive system, 3D quasigeostrophic system, Strichartz estimates, ill-prepared initial data, convergence rate estimates
Mathematical Subject Classification
Primary: 35Q35
Secondary: 35B40, 35Q86, 76D50, 76U05
Received: 10 April 2022
Accepted: 13 September 2022
Published: 20 April 2023
Frédéric Charve
LAMA (UMR 8050)
Université Paris-Est Créteil