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Asymptotics for the
rotating fluids and primitive systems with large ill-prepared
initial data in critical spaces
Frédéric Charve |
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Vol. 5 (2023), No. 1, 171–213
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Abstract |
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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. |
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Keywords
rotating fluids, primitive system, 3D quasigeostrophic
system, Strichartz estimates, ill-prepared initial data,
convergence rate estimates
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Mathematical Subject Classification
Primary: 35Q35
Secondary: 35B40, 35Q86, 76D50, 76U05
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Milestones
Received: 10 April 2022
Accepted: 13 September 2022
Published: 20 April 2023
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Authors |
| Frédéric Charve | |
| LAMA (UMR 8050) Université Paris-Est Créteil Créteil France |
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| © 2023 MSP (Mathematical Sciences Publishers). |
