Zero Viscosity Limit for Analytic Solutions of the Primitive Equations

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13 Citazioni (Scopus)


The aim of this paper is to prove that the solutions of the primitive equations converge, in the zero viscosity limit, to the solutions of the hydrostatic Euler equations. We construct the solution of the primitive equations through a matched asymptotic expansion involving the solution of the hydrostatic Euler equation and boundary layer correctors as the first order term, and an error that we show to be O(ν). The main assumption is spatial analyticity of the initial datum.
Lingua originaleEnglish
pagine (da-a)15-45
Numero di pagine31
RivistaArchive for Rational Mechanics and Analysis
Stato di pubblicazionePublished - 2016

All Science Journal Classification (ASJC) codes

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  • ???subjectarea.asjc.2600.2601???
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