Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg


Oberseminar zu Differentialgleichungen


Frau Erika Maringovį
Charles University in Prague

spricht am
Donnerstag, 16. November 2017
15:45 Uhr
Raum 2004 (L1)
über das Thema:

»On a Navier-Stokes-Fourier-like system capturing a transition between viscid and inviscid fluid regimes and between no slip and perfect slip boundary conditions«

We study a model with implicit constitutive relations that captures non-Newtonian fluids with temperature-dependent coefficients, in particular those which are able to describe the threshold slip phenomenon with the temperature-dependent activation criteria. Such a model is able to describe all states of the fluid from the yield stress, through the Newtonian fluid up to the inviscid case only by the temperature change. Also, concerning the boundary conditions, we are able to capture the standard Navier’s slip, but also the threshold slip case, i.e. the stick-slip or the perfect slip-slip condition. These models always include the activation, however, the standard constitutive relations (yield stress, inviscid fluid, no slip or perfect slip boundary conditions) are the limit cases when certain activating coefficient tends to infinity for some temperature. Finally, also the large-data and the long-time existence analysis is provided. This is a joint work with J. ˇabenskż.


Hierzu ergeht herzliche Einladung.
Prof. Dr. Lisa Beck

wwwadm@Math.Uni-Augsburg.DE,    Fr 20-Okt-2017 11:12:30 MESZ