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
StatePublished - Nov 2008

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Rotating Fluid
Nonlinear Stability
Boundary Layer
Viscosity
Generalise

ASJC Scopus subject areas

  • Mathematics(all)

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Stability of oscillating boundary layers in rotating fluids. / Masmoudi, Nader; Rousset, Frédéric.

In: Annales Scientifiques de l'Ecole Normale Superieure, Vol. 41, No. 6, 11.2008, p. 955-1002.

Research output: Contribution to journalArticle

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