Stochastic stability of the Ekman spiral

Matthias Georg Hieber; Wilhelm Stannat

Stochastic stability of the Ekman spiral

Matthias Georg Hieber, Wilhelm Stannat

Research output: Contribution to journal › Article › peer-review

Abstract

Consider the stochastic Navier-Stokes-Coriolis equations in T² × (0, b) subject to Dirichlet boundary conditions as well as the Ekman spiral which is a stationary solution to the deterministic equations. It is proved that the stochastic Navier-Stokes-Coriolis equation admits a weak martingale solution. Moreover, as an stochastic analogue of the existing deterministic stability results for the Ekman spiral, stochastic stability of the Ekman spiral is proved by considering stationary martingale solutions.

Original language	English
Pages (from-to)	189-208
Number of pages	20
Journal	Annali della Scuola Normale - Classe di Scienze
Volume	12
Issue number	1
Publication status	Published - 2013
Externally published	Yes

ASJC Scopus subject areas

Theoretical Computer Science
Mathematics (miscellaneous)

Cite this

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AB - Consider the stochastic Navier-Stokes-Coriolis equations in T2 × (0, b) subject to Dirichlet boundary conditions as well as the Ekman spiral which is a stationary solution to the deterministic equations. It is proved that the stochastic Navier-Stokes-Coriolis equation admits a weak martingale solution. Moreover, as an stochastic analogue of the existing deterministic stability results for the Ekman spiral, stochastic stability of the Ekman spiral is proved by considering stationary martingale solutions.

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Stochastic stability of the Ekman spiral

Abstract

ASJC Scopus subject areas

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