Special Session 9: 

Some regularity results for nonlocal Cahn-Hilliard/Navier-Stokes systems

SERGIO FRIGERI
Universita` Cattolica del Sacro Cuore, Brescia
Italy
Co-Author(s):    Sergio Frigeri
Abstract:
The talk will be focused on the presentation of some recent results concerning the regularity of solutions to Cahn-Hilliard/Navier-Stokes systems which describe flow and phase separation of mixtures of incompressible viscous binary fluids. Attention will be paid on the different situations in which these results have been established, regarding the mobility, the double-well potential and the viscosity. Some attention will also be given to the techniques employed, and, in particular, a recent approach based on maximal parabolic regularity theory will be mentioned. Furthermore, if time allows, some relevant applications will be discussed.