General Information

Discontinuity phenomena modelled by partial differential equations arise in many aspects of everyday life. Weather front propagation, traffic flow, melting or solidification of materials, financial mathematics, chemical reactions and combustion theory are just few examples of these issues. This is an interdisciplinary field which has developed rapidly over past years with many demands and new problems from applied sciences. In fact the more industrial and applied science problems are posed quantitatively using computers, the more these phenomena appear. There is recently an increasing interaction between mathematicians and other scientists to understand the range of validity of different models, the accuracy of simulations and the analytical theory that sustains these issues. Several research groups in various countries have been contributing in a relevant way and are at the forefront of current development in this field. It has been extremely difficult to actually bridge the scientific community and fortify the strength and quality of interactions, so that deeper theoretical methods can be effectively applied to real problems. This will create new perspectives for both mathematicians and more applied scientists. Therefore there is a great demand for training both mathematicians and more applied scientists in the subject. The conference will contribute in achieving these goals. Experts covering a broad range of different aspects of the subject have been invited. In addition to providing an overall review of the issues, keynote speakers will outline the recent progress and the need for further development of the field.

The conference is sponsored mainly by the European Commission under FPG-Marie Curie Action (MC Conferences and Training Courses - Series of Events) and by "Global and Geometric Aspects of Nonlinear Partial Differential Equations", a programme of the European Science Foundation (ESF).

The European Commission supports young researchers to enable them to participate in the conferences for training purposes. The researchers should be nationals of the countries which are Member States of the E.U. or Associated States, but there is also a certain amount of support available for young researchers from other countries as well. Graduate students are especially encouraged to participate. In general, young researchers should have a maximum of ten years researh experience since obtaining a degree that gives them access to doctoral studies. (Some limited funds from other sources will also be available to support participants not belonging to the above group). The financial support may cover all or parts of the travel, living and registration expenses.

Organizers: I. Athanasopoulos (Crete) and L.A. Caffarelli (Texas).

Local Organizing Committee: I. Athanasopoulos, M. Milakis.