Seminar in the framework of the PDE Afternoon



09.01.2018
Type seminar
Time 15:00 - 15:45
Place University of Vienna, Faculty of Mathematics, Oskar-Morgenstern-Platz, 1, Vienna (map)
Room From 15:00 to 15:45: Hörsaal 2 (ground floor) - from 16:00 to 17:00: WPI Seminarraum (8th floor)
Speaker Pavel Krejčí (Academy of Sciences, Czech Republic)
Title A model for water freezing in a deformable container
Abstract There is a big difference between the specific volumes of water and ice. Freezing water in a container thus produces high stresses which may change the shape of the container. The changes can be reversible if the container is elastic, or irreversible if the container is elastoplastic. We propose a model explaining these phenomena. The unknowns of the resulting evolution problem, namely the local volume increment, the absolute temperature, and the liquid fraction, are found as solutions of the system consisting of the mechanical equilibrium equation, energy balance equation, and phase dynamics equation. The influence of gravity on the asymptotic stability of the equilibria will also be discussed. This is a joint work with Elisabetta Rocca and Jürgen Sprekels.