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arXiv · 1902.10609

Enhanced convergence rates and asymptotics for a dispersive Boussinesq-type system with large ill-prepared data

Frederic Charve
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Abstract

In this article we prove highly improved and flexible Strichartz-type estimates allowing us to generalize the asymptotics we obtained for a stratified and rotating incompressible Navier-Stokes system: for large (and less regular) initial data, we obtain global well-posedness, asymptotics (as the Rossby number $\epsilon$ goes to zero) and convergence rates as a power of the small parameter $\epsilon$. Our approach is lead by the special structure of the limit system: the 3D quasi-geostrophic system.

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Frederic Charve. 2019-02-27. Enhanced convergence rates and asymptotics for a dispersive Boussinesq-type system with large ill-prepared data. https://doi.org/10.2140/paa.2020.2.477

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