The next seminar “Modelling of materials – theory, model reduction and efficient numerical methods” will take place next Monday (November 18, 2019) in the room K2 from 9:00 till 10:00. The talk will be given by Tomáš Los. Please see the details below.
Speaker: Tomáš Los
Title: On planar flows of viscoelastic fluids of Burgers type
Abstract: Viscoelastic rate-type fluid models involving the stress and its observer-invariant time derivatives of higher order are used to describe materials with complex microstructure, for example geomaterials like asphalt, biomaterials such as vitreous in the eye, mussels. A standard model that belongs to the category of viscoelastic rate-type fluid models of second order is the model due to Burgers that can be viewed as a mixture of two Oldroyd-B models of the first order. This viewpoint allows one to develop the whole hierarchy of generalized models of a Burgers type. We study one such generalization. Carrying on the study by Massmoudi (2011), who briefly prove weak sequential stability of solutions to the Giesekus model, we prove long time and large data existence of weak solutions to a mixture of two Giesekus models in two spatial dimensions.