The next seminar “Modelling of materials – theory, model reduction and efficient numerical methods” will take place next Monday (February 17, 2020) in the room K2 from 9:00 till 10:00. The talk will be given by Michal Bathory. Please see the details below.
Speaker: Michal Bathory
Title: Existence analysis of rate-type viscoelastic fluids with stress diffusion
Abstract: In the talk, we will first recall some standard models for unsteady flows of incompressible viscoelastic fluids, such as the Navier-Stokes coupled with Oldroyd-B or Giesekus models. Then, we will discuss the main difficulties that arise when one tries to prove an existence of a weak solution for such models. And finally, we show how to get around these difficulties by strengthening of the dissipation, or of the energy storage mechanism.