Publikation: Nonlinear stability of Ekman boundary layers
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2010
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Bulletin of the London Mathematical Society. Wiley-Blackwell. 2010, 42(4), pp. 691-706. ISSN 0024-6093. eISSN 1469-2120. Available under: doi: 10.1112/blms/bdq029
Zusammenfassung
Consider the initial value problem for the three‐dimensional Navier–Stokes equations with rotation in the half‐space ℝ3+ subject to Dirichlet boundary conditions as well as the Ekman spiral, which is a stationary solution to the above equations. It is proved that the Ekman spiral is nonlinearly stable with respect to L2‐perturbations provided that the corresponding Reynolds number is small enough. Moreover, the decay rate can be computed in terms of the decay of the corresponding linear problem.
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510 Mathematik
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HESS, Matthias, Matthias HIEBER, Alex MAHALOV, Jürgen SAAL, 2010. Nonlinear stability of Ekman boundary layers. In: Bulletin of the London Mathematical Society. Wiley-Blackwell. 2010, 42(4), pp. 691-706. ISSN 0024-6093. eISSN 1469-2120. Available under: doi: 10.1112/blms/bdq029BibTex
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year={2010},
doi={10.1112/blms/bdq029},
title={Nonlinear stability of Ekman boundary layers},
number={4},
volume={42},
issn={0024-6093},
journal={Bulletin of the London Mathematical Society},
pages={691--706},
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<dcterms:abstract xml:lang="eng">Consider the initial value problem for the three‐dimensional Navier–Stokes equations with rotation in the half‐space ℝ<sup>3</sup><sub>+</sub> subject to Dirichlet boundary conditions as well as the Ekman spiral, which is a stationary solution to the above equations. It is proved that the Ekman spiral is nonlinearly stable with respect to L<sup>2</sup>‐perturbations provided that the corresponding Reynolds number is small enough. Moreover, the decay rate can be computed in terms of the decay of the corresponding linear problem.</dcterms:abstract>
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