Asymptotics for the rotating fluids and primitive systems with large ill-prepared initial data in critical spaces
Analysis of PDEs
2023-04-26 v2
Abstract
In this article 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 2D horizontal part and a very large 3D part. We also provide explicit convergence rates.
Keywords
Cite
@article{arxiv.2204.05563,
title = {Asymptotics for the rotating fluids and primitive systems with large ill-prepared initial data in critical spaces},
author = {Frederic Charve},
journal= {arXiv preprint arXiv:2204.05563},
year = {2023}
}