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Giovanni Ortenzi, Department of Mathematical Sciences, University of Milano-Bicocca – Applied Mathematics Colloquium
November 16, 2018 @ 4:00 pm - 5:00 pm
Title: Boundary-interface interaction in fluid dynamics models
Abstract: The interaction between a fluid and a solid boundary is a phenomenon not completely understood. An example is the interplay between an interface separating two fluids and the bottom of a channel: in the simplest case, when one of the two fluid is the air, the mechanism of “drying” or “wetting” some regions of the boundary seems to be possible also in absence of the classical mechanisms based on surface tension or dissipation. In the last years we have concentrated our works on mathematical structures that can capture such wetting phenomena in the case of really simple models such as shallow water models or their multi-layer counterparts.