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Stability of Large Ekman Boundary Layers in Rotating Fluids

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Abstract.

The aim of this paper is to investigate the stability of Ekman boundary layers for rotating fluids when the Ekman number and the Rossby number go to zero. More precisely, we prove that spectral stability implies linear and nonlinear stabilities of approximate solutions. In particular, we replace the smallness condition obtained with energy methods in [5] by a weaker spectral condition which is sharp.

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  1. CNRS, Laboratoire J.A. Dieudonné, Université de Nice, Parc Valrose, 06108, Nice Cedex, 02, France

    F. Rousset

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  1. F. Rousset
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Rousset, F. Stability of Large Ekman Boundary Layers in Rotating Fluids. Arch. Rational Mech. Anal. 172, 213–245 (2004). https://doi.org/10.1007/s00205-003-0302-5

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