05/05/2005 06/05/2005

Workshop on Continuous Diversity, Complex Mixtures and Applications

A medium with continuous diversity can be interpreted as an assemblage of various interacting open systems with smoothly differing qualities. Such a concept is clearly intrinsic to many natural systems. In fact, whenever the populations in a large aggregate can be distinguished by a few continuously varying characteristics, like size, color, personality, orientation, age, shape, resilience, physiology, rugosity, etc., one faces a mixture which, in the limit of a very large number of individuals, is endowed with a continuous diversity of species.
The main objective of the workshop is to bring together leading specialists in several fields of science, giving them a unique opportunity to learn and exchange new mathematical methods, models and ideas concerning continuous diversity, which have recently been developed in completely different contexts, yet being applied to problems which have a common mathematical structure. Topics to be addressed by the workshop include: granular media, structured populations and biodiversity, mechanics and thermodynamics of polycrystals, iceberg and sea ice dynamics, polymeric solutions, liquid crystals and electromagnetic media, chemical reactions in complex multicomponent (continuous) mixtures.


May 5, 2005
14:20 - 14:40
14:40 - 15:40 Heiko Briesen (RWTH Aachen, Aachen, Germany)
Continuous composition representation and multiscale solution method for refinery simulation and optimization
15:40 - 16:40 Kolumban Hutter (Technische Universität Darmstadt, Darmstadt, Germany)
Thermodynamics of polycrystalline materials within the theory of mixtures with continuous diversity
16:40 - 17:00
17:00 - 18:00 Bob Svendsen (University of Dortmund, Dortmund, Germany)
Continuum thermodynamic formulation of models for materials characterized by an evolving microstructural distribution
18:00 - 19:00 Mats Gyllenberg (University of Helsinki, Helsinki, Finland)
On the formulation and analysis of structured population models
19:00 - 20:00
20:00 - 21:00
May 6, 2005
09:30 - 10:30 Daniel Feltham (University College London, London, United Kingdom)
Continuous diversity in sea ice dynamics and thermodynamics: Some recent research
10:30 - 11:20 Luca Placidi (Università degli studi La Sapienza di Roma, Roma, Italy)
Characterization of grain boundary migration and polygonization with the use of the postulate of global action
11:20 - 11:30
11:30 - 12:00


Heiko Briesen

Isaac Chenchiah

Nicolas Dirr

Sergio Faria

Daniel Feltham

Mats Gyllenberg

Kolumban Hutter

Faustino Maestre Caballero

Stefan Müller

Walter Pedra

Luca Placidi

Marcello Ponsiglione

Patrick Shipman

Bob Svendsen

Scientific Organizers

Sergio H. Faria

Max-Planck-Institut für Mathematik in den Naturwissenschaften

Administrative Contact

Katja Bieling

Max Planck Institute for Mathematics in the Sciences Contact via Mail