Speaker:
Stefan Hollands
Coordinator:
Jörg Lehnert
Address:
Inselstraße 22
04103 Leipzig
Germany
Contact:
+49(0)341-9959-641
+49(0)341-9959-658
IMPRS
Analysis
Scientific Members working in this area
- Tatjana Eisner (Mathematical Institute of Leipzig University)
- Jonas Hirsch (Mathematical Institute of Leipzig University)
- Bernd Kirchheim (Mathematical Institute of Leipzig University)
- Felix Otto (MPI for Mathematics in the Sciences)
- Felix Pogorzelski (Mathematical Institute of Leipzig University)
- László Székelyhidi (Mathematical Institute of Leipzig University)
Description of Research
The research in this topic focuses on the study of continuum models in physics and material sciences. Mostly this leads to questions in partial differential equations, dynamical systems and change of scale. Geometric measure theory, convex integration, ergodic theorems, entropy estimates, and multiscale limits are important tools.
Current PhD Students
| Surname, first name | Phone | Office | Homepage | |
| Giardi, Matteo | Matteo.Giardi | 847 | G2 11 | |
| Hauger, Lukas | Lukas.Hauger | 846 | G2 11 | |
| Hruška, David | David.Hruska | 666 | ---- | |
| Ried, Sandra | Sandra.Ried | 848 | G2 11 | |
| Sattig, Gabriel | Gabriel.Sattig | 837 | G2 03 | |
| Tempelmayr, Markus | Markus.Tempelmayr | 972 | F2 15 | external |
| Ullrich, Anton | Anton.Ullrich | 976 | F2 10 | |
| Wagner, Christian | Christian.Wagner | 974 | F2 15 |
Alumni
| Name | Advisor | Graduation | Topic |
| Michael Baldus | Stephan Luckhaus | 2015 | Homogenization via correctors |
| Tristan Buckmaster | László Székelyhidi | 2014 | Onsager's conjecture (see more) |
| Marcello Carioni | Bernd Kirchheim | 2017 | Existence of calibrations for the Mumford-Shah functional and the reinitialization of the distance function in the framework of Chan and Vese algorithms (see more) |
| Lukas Döring | Felix Otto | 2015 | Asymmetric domain walls in soft ferromagnetic films |
| Elias Esselborn | Felix Otto | 2015 | Gradient flows for nonconvex energies : asymptotics and stability for two models from fluid mechanics |
| Clemens Förster | Laszlo Szekelyhidi | 2018 | Piecewise constant subsolutions for the incompressible Euler and IPM equations (see more) |
| Arianna Giunti | Felix Otto | 2017 | Green's function estimates for elliptic and parabolic operators : Applications to quantitative stochastic homogenization and invariance principles for degenerate random environments and interacting particle systems (see more) |
| Manuel Gnann | Felix Otto | 2014 | The moving contact line in viscous thin films : a singular free boundary problem |
| Gianluca Lauteri | Stephan Luckhaus | 2017 | The emergence of cosserat-type structures in metal plasticity (see more) |
| Tim Bastian Laux | Felix Otto | 2017 | Convergence of phase-field models and thresholding schemes via the gradient flow structure of multi-phase mean-curvature flow (see more) |
| Pablo Linares | Felix Otto | 2022 | On a tree-free approach to regularity structures for quasi-linear stochastic partial di erential equations (see more) |
| Philippe Logaritsch | Emanuele Spadaro | 2016 | An obstacle problem for mean curvature flow (see more) |
| Camilla Nobili | Felix Otto | 2015 | Rayleigh-Bénard convection : bounds on the Nusselt number (see more) |
| Claudia Raithel | Felix Otto | 2019 | Some large-scale regularity results for linear elliptic equations with random coefficients and on the well-posedness of singular quasilinear SPDEs (see more) |
| André Schlichting | Stephan Luckhaus | 2012 | The Eyring-Kramers formula for Poincaré and logoarithmic Sobolev inequalities (see more) |
| Michael Schnurr | Tatjana Eisner | 2018 | Generic properties of extensions (see more) |
| Thilo Martin Simon | Felix Otto | 2018 | Materials science-inspired problems in the calculus of variations : rigidity of shape memory alloys and multi-phase mean curvature flow (see more) |
| Jens Wohlgemuth | Stephan Luckhaus | 2013 | Study of a model for reference-free plasticity (see more) |