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A variational approach to fluid-structure interactions

Speaker(s)
Sebastian Schwarzacher
Affiliation
Charles University
Date
Oct. 12, 2020, 2 p.m.
Information about the event
Zoom
Seminar
Monday's Nonstandard Seminar joint with Seminar of Section of Differential Equations

We introduce a two time-scale scheme which allows to extend the method of min-
imizing movements to hyperbolic problems. This method is used to show the existence of
weak solutions to a fluid-structure interaction problem between a nonlinear, visco-elastic, n-
dimensional bulk solid governed by a hyperbolic evolution and an incompressible fluid governed
by the (n-dimensional) Navier-Stokes equations for n ≥ 2.