The next seminar “Modelling of materials – theory, model reduction and efficient numerical methods” will take place next Wednesday (April 21, 2021) from 9:00 till 10:00. The talk will be given by Erika Maringová. Please see the details below.
Speaker: Erika Maringová
Title: On dynamic boundary condition
Abstract: In the talk, we discuss a response of the fluid on the boundary, which acts as a delayed slip due to material properties. In the moment when the slip changes rapidly, the wall shear stress and the slip can exhibit a sudden overshoot and subsequent relaxation. When these effects become significant, the so-called dynamic slip phenomenon occurs. We develop a mathematical analysis of Navier-Stokes-like problems with dynamic slip boundary condition, which requires a proper generalisation of the Gelfand triplet and the corresponding function spaces setting. It is a joint work with Anna Abbatiello and Miroslav Bulíček.