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Uniform exponential stability of the Ekman spiral

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/84177

Title: Uniform exponential stability of the Ekman spiral
Authors: GIGA, YOSHIKAZU Browse this author
Jurgen, Saal Browse this author
Keywords: Stability
vector-valued Radon measures
nondecaying functions
operator-valued multipliers
rotating boundary layers
uniform well-posedness
Ekman layer
Issue Date: 19-Apr-2013
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 1033
Start Page: 2
End Page: 17
Abstract: This paper studies stability of the Ekman boundary layer. We utilize a new approach developed by the authors in [12] based on Fourier transformed finite vector Radon measures which yields exponential stability of the Ekman spiral. By this method we can also derive very explicit bounds for solutions of the linearized and the nonlinear Ekman system. For example, we can prove these bounds to be uniform with respect to the angular velocity of rotation which has proved to be relevant for several aspects. Another advantage of this approach is that we obtain well-posedness in classes containing nondecaying vector fields such as almost periodic functions. These outcomes give respect to the nature of boundary layer problems and cannot be obtained by approaches in standard function spaces such as Lebesgue, Bessel-potential, H¨older or Besov spaces.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/69837
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

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