Seminario del 2015

Giugno
15
2015
Francesco Fanelli (Centro di Ricerca Matematica "Ennio De Giorgi", Scuola Normale Superiore)
Viscous capillary fluids in fast rotation
nell'ambito della serie: SEMINARI DI ANALISI MATEMATICA BRUNO PINI
analisi matematica
In the present talk we are interested in a singular limit problem for a compressible 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 $\veps$, we are interested in the asymptotic behavior of a family of weak solutions to our model, for $\veps$ going to $0$. We consider this problem in the regimes of both constant and vanishing capillarity: we prove the convergence of the model to $2$-D Quasi-Geostrophic type equations for the limit density function. The case of variations of the rotation axis will be discussed as well.
organizzato da: Alessia Kogoj e Alberto Parmeggiani

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