Organiser(s):
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Valeria Giunta , University of Sheffield
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Annalisa Iuorio , University of Vienna
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Cinzia Soresina , University of Graz
About:
The aim of this workshop was 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 software 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: a constant exchange of knowledge between the theoretical investigations and the experimental data is in fact crucial in order to advance the research in this area.
The speakers illustrated the most recent advancements in these fields, and foster the creation of new research directions with a concluding description of three open research questions aimed at colleagues working in fields different from their own. This allowed researchers with different backgrounds to learn ultimate techniques, connect with experts from various areas, and collaborate with fellow participants to produce new, cutting-edge research.
For full information, click here to visit the organisers' google website.
Public Lecture:
Jonathan Sherratt delivered the public lecture, Diffusion in Deserts: Explaining Patterned Vegetation.
Programme:
| Monday 11 September | ||
| Registration & Refreshments | ||
| Welcome & Housekeeping | ||
| Christina Kuttler, Technische Universität München | Who is there, when, where and why? How diffusion helps bacteria to learn more about their environment | |
| Refreshments | ||
| Ariane Trescases, Cnrs (Toulouse) | Cross diffusive aggregation and local sensing | |
| Discussion | ||
| Lunch & Discussion | ||
| Mariya Ptashnyk, Heriot-Watt University | Multiscale analysis for cross-diffusion models in environments with periodic and random microstructures | |
| Antoine Zurek, Université de Technologies de Compiègne | Design and analysis of finite volume schemes for some cross-diffusion systems | |
| Refreshments | ||
| Discussion | ||
| Welcome Reception & Posters | ||
| Tuesday 12 September | ||
| Giancarlo Consolo, University of Messina | Hyperbolic reaction-transport equations in dryland ecological modeling | |
| Refreshments | ||
| Philip Pearce, University College London | Pattern formation by living droplets in chemoattractant gradients | |
| Discussion | ||
| Lunch & Discussion | ||
| Nikolaos Sfakianakis, University of St Andrews | A mathematical path to a hybrid 3-D multi-organ cancer invasion framework and virtual patient environment | |
| Giuseppe Pontrelli, IAC-CNR | Mass diffusion in non-homogenous materials with application to drug delivery | |
| Refreshments | ||
| Discussion | ||
| Public Lecture | Diffusion in Deserts: Explaining Patterned Vegetation by Jonathan Sherratt | |
| Wednesday 13 September | ||
| Jonathan Potts, University of Sheffield | Nonlocal advection-diffusion models for modelling organism movement and space use | |
| Ricardo Martínez-García, Center for Advanced Systems Understanding (CASUS) | The effect of space-dependent movement on critical patch size | |
| Refreshments | ||
| Ulrike Feudel, ICBM, Carl von Ossietzky University Oldenburg | Metaecosystems – network approaches in population dynamics | |
| Discussion | ||
| Free Afternoon & Social Activities | ||
| Thursday 14 September | ||
| Pierre Degond, CNRS, Institut de Mathématiques de Toulouse | Geometry and topology in collective dynamics models | |
| Laura Kanzler, CEREMADE - Université Paris-Dauphine | One-dimensional short-range nearest-neighbour interaction and its nonlinear diffusion limit | |
| Refreshments | ||
| Marie-Therese Wolfram, University of Warwick | Active Crowds | |
| Discussion | ||
| Lunch & Discussion | ||
| Martina Chirilus-Bruckner, Leiden University | Dynamics of exotic front solutions in reaction-diffusion systems | |
| Hannes Uecker, Carl von Ossietzky Universität Oldenburg | Numerical Bifurcation Analysis for differential geometric PDEs | |
| Refreshments | ||
| Discussion | ||
| Mentoring | ||
| Workshop Dinner | ||
| Friday 15 September | ||
| Andrew Krause, Durham University | Pattern Formation via Blackboards and Web Browsers | |
| Lukas Eigentler, University of Bielefeld | Pattern migration (or not?) of dryland vegetation stripes | |
| Refreshments | ||
| Frits Veerman, University of Leiden | Mechanochemical pattern formation: far-from-equilibrium patterns on a deforming surface | |
| Discussion | ||
| Lunch & Closing |
