In this semester the seminar “Modelling of materials – theory, model reduction and efficient numerical methods” will take place every Wednesday from 9:00 till 10:00 in the room K3. This week the talk will be given by Malte Kampschulte. Please see the details below.
Speaker: Malte Kampschulte
Title: Viscoelastodynamics from a mathematical point of view
Abstract: The aim of this talk is to give an overview of the current state of the mathematical study of the (visco-)elastodynamics of (bulk) solids, with a focus on existence theory. In the spirit of the interdisciplinary nature of the seminar, the goal will be to give an insight into what can and what cannot be done (yet), with the hope that this will prove useful to those whose work intersects the theory from the side of modelling, numerics, coupling with other theories and so on. In particular I will detail the ambivalent nature of the involved nonlinearities, which are the unavoidable source of some of the biggest problems and at the same time contain the keys to their solution. For this I will try to present the intuition behind some older and some more recent results on the topic and contrast the different approaches.