22 nov 2021 -- 14:30   [open in google calendar]

Aula Magna, Dipartimento di Matematica di Pisa

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Abstract.

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)

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