Stability of oscillating boundary layers in rotating fluids

Nader Masmoudi, Frédéric Rousset

Research output: Contribution to journalArticle

Abstract

We prove the linear and non-linear stability of oscillating Ekman boundary layers for rotating fluids in the so-called ill-prepared case under a spectral hypothesis. Here, we deal with the case where the viscosity and the Rossby number are both equal to ε. This study generalizes the study of [23] where a smallness condition was imposed and the study of [26] where the well-prepared case was treated.

Original languageEnglish (US)
Pages (from-to)955-1002
Number of pages48
JournalAnnales Scientifiques de l'Ecole Normale Superieure
Volume41
Issue number6
DOIs
StatePublished - 2008

ASJC Scopus subject areas

  • Mathematics(all)

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