Dresden 2017 – wissenschaftliches Programm
Bereiche | Tage | Auswahl | Suche | Aktualisierungen | Downloads | Hilfe
DY: Fachverband Dynamik und Statistische Physik
DY 13: Complex Systems
DY 13.1: Vortrag
Montag, 20. März 2017, 17:30–17:45, ZEU 147
Sufficient conditions for the existence of solutions for two phase flow in porous media — •Pradeep Kumar, Rouven Steinle, Tillmann Kleiner, and Rudolf Hilfer — Institute for Computational Physics, University of Stuttgart, Germany
In this talk, we consider a jump-type hysteresis model for two phase flow in porous media. It is shown that, after abstract formulation of the hysteresis model into a Cauchy problem on a Hilbert space X=L2(0, 1), the solutions of the corresponding model are governed by an analytic semigroup defined on X.
[1] Steinle, R. and Hilfer, R.; Transp. Porous Media, (2016) (DOI 10.1007/s11242-015-0598-2)
[2] Hilfer, R. and Steinle, R.; Eur. Phy. J., 223, (2014)
[3] Pazy, A.; Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer-Verlag, (1983)