The next seminar “Modelling of materials – theory, model reduction and efficient numerical methods” will take place next Monday (November 11, 2019) in the room K2 from 9:00 till 10:00. The talk will be given by Miroslav Bulíček. Please see the details below.
Speaker: Miroslav Bulíček
Title: Mathematical analysis of viscoelastic fluids with stress diffusion
Abstract: We discuss the long-time existence of weak solutions for large-data to a system of nonlinear partial differential equations. The system of interest governs the motion of non-Newtonian fluids described by a viscoelastic rate-type model with a stress-diffusion term. We focus on the thermodynamical compatibility of the models and propose also the proper convergence scheme that will lead to the existence of a solution.