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On the stability of the Ekman boundary layer
Author(s) -
Giga Yoshikazu,
Saal Jürgen
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200701067
Subject(s) - ekman layer , stability (learning theory) , ekman number , boundary layer , mathematical analysis , space (punctuation) , boundary (topology) , rotation (mathematics) , fourier transform , mathematics , physics , fourier analysis , geometry , mechanics , computer science , flow (mathematics) , machine learning , operating system
We present a result on well‐posedness and stability of the Ekman boundary layer problem in the space FM(ℝ 2 , L 2 (ℝ + ) 3 ), i.e., in the space of L 2 (ℝ + ) 3 ‐valued Fourier transformed finite Radon measures. In particular we obtain stability in the angle velocity of rotation, which is important in the analysis of fast oscillating singular limits. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)