The next seminar “Modelling of materials – theory, model reduction and efficient numerical methods” will take place on Wednesday from 9:00 till 10:00 in the room K3. The talk will be given by Michal Bathory. Please see the details below.
Speaker: Michal Bathory
Title: Existence of a weak solution for thermoviscoelastic incompressible fluids
Abstract: Properties of viscoelastic fluids usually depend on temperature in a substantial way. However, including a temperature evolution into conventional viscoelastic models leads to a badly-behaved system of nonlinear PDEs, where the integrability of the velocity gradient can no longer be read from the Navier-Stokes equation. By relying on the temperature and entropy inequalities instead, we show existence of a weak solution under optimal growth assumptions on the material coefficients.