April 12 - 15, 2021

All lectures will be held online

Organizers: Esther S. Daus (TU Wien), Annalisa Iuorio (University of Vienna), Cinzia Soresina (University of Graz)

Description: A large amount of real-life phenomena - spread through chemistry, ecology, and biology - can be mathematically described by means of diffusive systems such as reaction-diffusion systems with linear or nonlinear diffusion, nonlocal diffusion, and cross-diffusion systems. These systems are extremely interesting to investigate not only due to their importance in applications (reaction chemistry, population dynamics, collective phenomena in life sciences), but also because they give rise to a rich variety of complex behaviours, such as pattern formation and bifurcations.

The aim of this School is to bring together experts from different communities to cover the investigation of diffusive systems from several viewpoints: analytically, combining methods and techniques from Partial Differential Equations (PDEs) and dynamical systems to derive and analyse mathematical models for the applied phenomena; numerically, reviewing the most recent techniques and softwares for the computation of bifurcation diagrams and continuation with respect to the systems´parameters; and, last but not least, from the applied - in particular biological - viewpoint: the starting point of investigations in biology as a quantitative science in the last decades has led to a revival in the application of mathematics in biology, showing how a constant exchange of knowledge between the theoretical investigations and the experimental data is crucial in advancing the research in this area.

Key Speakers: The following speakers will give a lecture series:

• José A. Carrillo, University of Oxford, UK: Aggregation-Diffusion equations and systems in mathematical biology: stationary states, phase transitions and qualitative behavior
• Anna Marciniak-Czochra, Heidelberg University, Germany: Pattern formation in reaction-diffusion-ODE systems: Stability analysis and emergence of singularities
• Mariya Ptashnyk, Heriot-Watt University, UK: Multiscale modelling and analysis of biological systems
• Vivi Rottschäfer, Universiteit Leiden, Netherlands: Pattern formation in reaction-diffusion systems

If you are interested in attending the Hausdorff School, please click here for online registration.

Click here for the abstracts.

Click here for the schedule.

In case of questions, please contact the organizers at diffusivesystems@hcm.uni-bonn.de

_{"If the situation allows, the school will be made up on site in 2022".}