Mathematical Methods for Complex Phenomena
Regensburg, March 9-11, 2022
Mission statement: In many material systems one observes complex structures which have a decisive influence on the macroscopic properties of these systems. In recent years, mathematical tools have been developed in order to understand these phenomena within models from continuum mechanics. This workshop brings together experts from two DFG funded initiatives which address these challenges: The DFG Research and Training Group 2339 Interfaces, Complex Structures, and Singular Limits and the DFG Priority Programme 2256 Varational Methods for Predicting Complex Phenomena in Engineering Structures and Materials. This meeting is preceded by the workshop of the PDEs for surfaces and interfaces organized by the FOR 3013 and the RTG 2339.
Organizers
- Georg Dolzmann, Universität Regensburg, Germany
- Harald Garcke, Universität Regensburg, Germany
Speakers
- Sebastian Aland, TU Freiberg, Germany
- Helmut Abels, Universität Regensburg, Germany
- Rufat Badal, Friedrich-Alexander-Universität Erlangen-Nürnberg, Deutschland
- Florian Behr, Universität Regensburg, Germany
- Peter Bella, TU Dortmund, Germany
- Eberhard Bänsch, Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany
- Patrick Dondl, Albert-Ludwigs-Universität Freiburg, Germany
- Stephan Gärttner, Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany
- Paul Hüttl, Universität Regensburg, Germany
- Patrik Knopf, Universität Regensburg, Germany
- Yadong Liu, Universität Regensburg, Germany
- Maria Neuss-Radu, Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany
- Nadja Ray, Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany
- Angkana Rüland, Universität Heidelberg, Germany
- Ben Schweizer, TU Dortmund, Germany
- Steve Wolff-Vorbeck, Universität Freiburg, Germany
- Patrick Weiß, Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany
- Cateria Zeppieri, Universität Münster, Germany
Schedule
- In the first half of the same week there is a workshop on PDEs for Surfaces and Interfaces, jointly organized by the DFG-Research Unit 3013 and GRK 2339.
- Although, the workshop will be held in person, the talks can be followed online.
- Talks will take place in the lecture hall H31, while coffee breaks will be in the seminar room M103.
- The workshop dinner will be held at the Brauhaus am Schloss. Address: Waffnergasse 6, 93047 Regensburg
Wednesday
Time | Title | Presenter |
14:00 - 14:45 | On Rigidity, Flexibility and Scaling Laws for Some Matrix-Valued m-Well Problems: The Tartar Square | Angkana Rüland |
14:45 - 15:30 | Large Time Existence and Convergence for Thin Vibrating Rods | Helmut Abels |
15:30 - 16:00 | Coffee break(M104) | |
16:00 - 16:45 | The Buongiorno model for nanofluids | Eberhard Bänsch |
16:45 - 17:15 | Connected coulomb columns: analysis and numerics | Steve Wolff-Vorbeck |
17:15 - 17:45 | Phase-Field Approximations in Spectral Shape and Topology Optimization | Paul Hüttl |
Thursday
Time | Title | Presenter |
9:00 - 9:45 | Gamma-convergence and homogenisation of singularly-perturbed elliptic functionals | Caterina Zeppieri |
9:45 - 10:15 | On multiphase Cahn--Hilliard--Brinkman/Darcy models for stratified tumor growth with chemotaxis | Patrik Knopf |
10:15 - 10:45 | Coffee break(M104) | |
10:45 - 11:30 | Upscaling reactive flow and transport in evolving porous media | Nadja Ray |
11:30 - 12:00 | Estimating permeability of real-rock micro-CT images by physics-informed neural networks | Stephan Gärttner |
12:00 - 14:00 | Lunch break | |
14:00 - 14:45 | A Proof of Taylor (or Friedel) Scaling for the Critical Resolved Shear Stress | Patrick Dondl |
14:45 - 15:30 | Two-scale tools for homogenization and dimension reduction of porous thin layers and application to problems from elasticity | Maria Neuss-Radu |
15:30 - 16:00 | Coffee break(M104) | |
16:00 - 16:45 | Two-scale tools for homogenization and dimension reduction of porous thin layers and application to problems from elasticity | Ben Schweizer |
16:45 - 17:15 | Relaxation methods in pressure-dependent plasticity | Florian Behr |
17:15 - 17:45 | On the field-induced transport of magnetic nanoparticles in incompressible flow | Patrik Weiss |
19:00 | Workshop dinner |
Friday
Time | Title | Presenter |
9:00 - 9:45 | Wrinkled to flat region - Gamma-Convergence and beyond | Peter Bella |
9:45 - 10:15 | Nonlinear and Linearized Models in Thermoviscoelasticity | Rufat Badal |
10:15 - 10:45 | Coffee break(M104) | |
10:45 - 11:30 | A combined sharp/diffuse interface approach for wetting of elastic substrates | Sebastian Aland |
11:30 - 12:00 | On a fluid-structure interaction problem for plaque growth: cylindrical domain | Yadong Liu |
12:00 - 14:00 | Lunch break |