Aula Magna – Dipartimento di Matematica.
In this talk I will present some results concerning the analysis of the existence of finite energy weak solutions of the Navier-Stokes-Korteweg equations, which model the dynamic of a viscous compressible fluid with capillarity effect. These kind of model are useful to study the dynamic of fluid near vacuum regions. A general theory of global existence is still missing, however for some particular cases of physical interest, it is possible to prove global existence of weak solutions and I will review some recent results regarding these cases. The talk is based on a series of joint works with Paolo Antonelli (GSSI – Gran Sasso Science Institute, L’Aquila) The seminar will be only in presence, those interested in joining the seminar have to register following the link below.