Dr. Th. Eiter (WIAS Berlin)
Wednesday, May 12, 2021 - 15:15
Online Event
Berliner Oberseminar “Nichtlineare partielle Differentialgleichungen” (Langenbach-Seminar), --- ---
Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (Langenbach-Seminar)
Subject of the talk is a fluid model including viscoelastic and viscoplastic effects. The state is given by the fluid velocity and an internal stress tensor that is transported along the flow with the Zaremba--Jaumann derivative. Moreover, the stress tensor obeys a nonlinear and nonsmooth dissipation law as well as stress diffusion. After a discussion of the model, the existence of global-in-time weak solutions, which satisfy an energy inequality, is shown under general Dirichlet conditions for the velocity field and Neumann conditions for the stress tensor.
submitted by eismann (andrea.eismann@wias-berlin.de, 030 20372320)