Stochastic stability of the Ekman spiral

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Nonlinear stability of Ekman boundary layers

Consider the initial value problem for the three dimensional Navier-Stokes equations with rotation in the half-space R+ subject to Dirichlet boundary conditions as well as the Ekman spiral which is a stationary solution to the above equations. It is proved that the Ekman spiral is nonlinearly stable with respect to L2-perturbations provided the corresponding Reynolds number is small enough. Mor...

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ژورنال

عنوان ژورنال: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE

سال: 2013

ISSN: 2036-2145,0391-173X

DOI: 10.2422/2036-2145.201008_003