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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 | |
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Abstract: Photonic crystals are dielectric materials in which electromagnetic waves with frequencies belonging to so-called photonic band gaps can not propagate. Due to this property they can be used as optical analogues to semiconductors. The challenging task is now to design a crystal in such a way that it has a photonic band gap around an initially given frequency. After discussing some basic ideas and notions for this problem I consider a special class of photonic crystals which are consisting of periodically ordered thin wires. It turns out that in order to answer the above question one has to investigate two partial differential operators. The analysis of them yields that I can design a photonic crystal of the above form such that specially polarized electromagnetic waves with the given frequency can not propagate in the crystal. This behavior coincides with experimental results. [hide 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 [show abstract] | |
| Victoria Paguio (KFU, advisor F. Kappel): Dynamics of fluid status of patients on hemodialysis [show abstract] |