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Summer Term 2016, Doctoral School Events
2016-03-18 Doctoral School Seminar (Inst. Mathematik, Heinrichstr. 36, Raum 11.32, 13:15-15:45, KFU)
Niclas Technau (TU, advisor R. Tichy): On the regularity of primes in arithmetic progressions [show abstract]
Anna Zubkova (KFU, advisor V. Kovtunenko): Homogenization of the generalized Poisson-Nernst-Planck system with nonlinear interface conditions [show abstract]
Caroline Moosmüller (TU, advisor J. Wallner): Hermite subdivision on manifolds [show abstract]
2015-04-22 Doctoral School Seminar (Seminarraum 2 des Instituts für Geometrie, Kopernikusgasse 24, 10:30—11:30, TU)
Sebastian Engel (KFU, advisor K. Kunisch): Optimal Control of the Wave Equation with BV-Functions [show abstract]
Markus Holzmann (TU, advisor J. Behrndt): The mathematical model for 2D photonic crystal [show abstract]
2015-05-20 Doctoral School Seminar (Seminarraum 2 des Instituts für Geometrie, Kopernikusgasse 24, 10:30—13:00, TU)
Marco Zank (TU, advisor O. Steinbach): Time-Space Boundary Element Methods for the Wave Equation [show abstract]
Kwok Chi Chim (TU, advisor R. Tichy): On a variant of Pillai's problem [show abstract]
Michael Kniely (KFU, advisor K. Fellner): The Entropy Method for a Reaction-Diffusion System Modelling Band-Trapped States

Abstract: A semiconductor is basically characterised by two energy levels. The lower one is referred to as the valence band, and the upper one as the conduction band. By a sufficient amount of energy, electrons can be transferred from the lower to the upper energy level. Band-trapped states correspond to intermediate energy levels between the valence band and the conduction band. In this talk, we first discuss the reason for considering trapped levels and introduce an appropriate reaction-diffusion system. Next, we will review the so-called entropy approach used to obtain an entropy entropy-dissipation inequality. A major part of the talk shall also focus on the derivation of this EED-inequality itself. At the end, exponential convergence to the equilibrium will be proven.[hide abstract]

Victoria Paguio (KFU, advisor F. Kappel): Dynamics of fluid status of patients on hemodialysis [show abstract]