Global existence and long-time asymptotics for rotating fluids in a 3D layer - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Mathematical Analysis and Applications Année : 2009

Global existence and long-time asymptotics for rotating fluids in a 3D layer

Thierry Gallay
  • Fonction : Auteur
  • PersonId : 857123

Résumé

The Navier-Stokes-Coriolis system is a simple model for rotating fluids, which allows to study the influence of the Coriolis force on the dynamics of three-dimensional flows. In this paper, we consider the NSC system in an infinite three-dimensional layer delimited by two horizontal planes, with periodic boundary conditions in the vertical direction. If the angular velocity parameter is sufficiently large, depending on the initial data, we prove the existence of global, infinite-energy solutions with nonzero circulation number. We also show that these solutions converge toward two-dimensional Lamb-Oseen vortices as t → ∞.
Fichier principal
Vignette du fichier
NSCor6.pdf (251.92 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-01227471 , version 1 (11-11-2015)

Identifiants

Citer

Thierry Gallay, Violaine Roussier-Michon. Global existence and long-time asymptotics for rotating fluids in a 3D layer. Journal of Mathematical Analysis and Applications, 2009, 360 (1), pp.14-34. ⟨10.1016/j.jmaa.2009.06.001⟩. ⟨hal-01227471⟩
281 Consultations
53 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More