A singular limit problem for viscous compressible fluids in presence of capillarity


Francesco Fanelli, Ecole Normale Supérieure de Pise, Italie. 19 décembre 2014 14:00 edp 2:00:00
Abstract:

In the present talk we are interested in a singular limit problem for a compressible Navier-Stokes-Korteweg system under the action of high rotation of the Earth. We study the incompressible and high rotation limits simultaneously. Moreover, we consider both the constant capillarity and the vanishing capillarity regimes. We will find that the limit velocity field is divergence-free. Moreover, we will completely characterize the equation satisfied by the limit density, which can be interpreted as a sort of stream-function for the limit velocity field. The results are based on suitable applications of the RAGE theorem.