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MARCO SAMMARTINO

Zero Viscosity Limit for Analytic Solutions of the Primitive Equations

  • Autori: Kukavica, I.; Lombardo, M.; Sammartino, M.
  • Anno di pubblicazione: 2016
  • Tipologia: Articolo in rivista (Articolo in rivista)
  • OA Link: http://hdl.handle.net/10447/201082

Abstract

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.