Marco Bravin (Universidad de Cantabria)
Biography
TITLE: Well-posedness and regularity for the Stokes system in domains with corners
ABSTRACT: In this talk I will present a recent result where we study the Stokes system in a wedge domain. This system appears naturally in the study of the lubrification approximation to deduce the thin film equations from the Navier-Stokes system with free boundary.
Having in mind this goal we study existence and regularity in weighted Sobolev spaces of solutions to the Stokes system with Navier-Slip boundary conditions in the case the angle is small enough. Moreover, we show estimates uniform in the angle to be able to study the limiting system when the angle tends to zero.
This is a joint work with Gnann, Knüpfe, Masmoudi, Roodenburg, Sauer.
