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Article Dans Une Revue Pure and Applied Analysis Année : 2020

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

Résumé

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 ε goes to zero) and convergence rates as a power of the small parameter ε. Our approach is lead by the special structure of the limit system: the 3D quasi-geostrophic system.
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Dates et versions

hal-02050137 , version 1 (26-02-2019)
hal-02050137 , version 2 (13-01-2020)
hal-02050137 , version 3 (02-12-2020)

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Citer

Frederic Charve. Enhanced convergence rates and asymptotics for a dispersive Boussinesq-type system with large ill-prepared data. Pure and Applied Analysis, 2020, 2 (2), pp.477-517. ⟨hal-02050137v3⟩
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