Monday, August 22, 2022 - 14:00 in V2-210/216
Convergence to equilibria for weak solutions of heat conducting non-Newtonian fluids
A talk in the BI.discrete Workshop series by
Miroslav Bulíček from Prague
| Abstract: |
We consider a flow of non-Newtonian heat conducting incompressible fluid in a bounded domain subjected to the homogeneous Dirichlet boundary condition for the velocity field and the spatially inhomogeneous Dirichlet boundary condition for the temperature. The ultimate goal is to show that the fluid converges to equilibrium as time tends to infinity and also if possible to get as good as possible rate of the convergence. We discuss what is the proper metric for measuring the distance to equilibrium and show how it is affected by material parameters. Moreover, we show that formally (for sufficiently smooth solutions) we have the exponential rate of the convergence for most of the classical models. Finally, we discuss when such exponential decay can be justified also rigorously for any weak/entropy/suitable or in general “proper notion" of solution.
Within the CRC this talk is associated to the project(s): B7 |
Back
