Stochastic stability of the Ekman spiral

Matthias Georg Hieber, Wilhelm Stannat

Research output: Contribution to journalArticle

2 Citations (Scopus)

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 languageEnglish
Pages (from-to)189-208
Number of pages20
JournalAnnali della Scuola Normale - Classe di Scienze
Volume12
Issue number1
Publication statusPublished - 2013
Externally publishedYes

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Stochastic Stability
Navier-Stokes
Martingale
Boundary conditions
Stationary Solutions
Dirichlet Boundary Conditions
Analogue

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Mathematics (miscellaneous)

Cite this

Stochastic stability of the Ekman spiral. / Hieber, Matthias Georg; Stannat, Wilhelm.

In: Annali della Scuola Normale - Classe di Scienze, Vol. 12, No. 1, 2013, p. 189-208.

Research output: Contribution to journalArticle

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