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Séminaire de EDP - Physique Mathématique

Viscous capillary fluids in fast rotation

Francesco Fanelli

Salle 2

le 12 mai 2015 à 11:00

- Résumé: In the present talk we are interested in a singular limit problem for a Navier-Stokes-Korteweg system under the action of strong Coriolis force. This is a model for compressible viscous capillary fluids, when the rotation of the Earth is taken into account. Supposing both the Mach and Rossby numbers to be proportional to a small parameter \veps\veps, we are interested in the asymptotic behavior of a family of weak solutions to our model, for \veps\veps going to 00. We consider this problem in the regimes of both constant and vanishing capillarity: we prove the convergence of the model to 22-D Quasi-Geostrophic type equations for the limit density function. The case of variations of the rotation axis will be discussed as well.