Regensburg 2016 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 14: Complex Systems

DY 14.2: Vortrag

Montag, 7. März 2016, 16:30–16:45, H47

Fractional interpolation methods for two phase flow in porous media — •Pradeep Kumar, Rouven Steinle, Bakkyraj Thangarashu, and Rudolf Hilfer — Institute for Computational Physics, University Stuttgart, Germany

Two phase flow in porous media is described macroscopically using the generalized Darcy theory with hysteresis. Recently, numerical solutions for various hysteresis models were found to exhibit non-monotone profiles [1] and [2]. In this talk, we will focus on analytical solutions of this model by using the theory of semigroups and fractional interpolation methods [3]. In this framework uniqueness, global existence and maximal regularity of the solutions are also discussed.

Hilfer, R. and Steinle, R., Eur. Phys. J. ST, 223, 2323 (2014)
Steinle, R. and Hilfer, R., Transp. Porous Media, (in print) 2016
. Yagi, A., Abstract parabolic evolution equations and their applications, Springer-Verlag, Berlin (2010)