Objective "There is a broad spectrum of problems in scientific disciplines that are dominated by the nonlinear interaction of physical processes across many length and time scales, ranging from the microscopic to the macroscopic. The evolution laws governing such phenomena on macroscopic scales describe quantities which are derived by averaging over many degrees of freedom of a finer length scale. The deviations from this average due to thermal effects or material impurities are often negligible. In some situations, however, they can trigger effects which are observable on the macroscopic length scale. The topic of this proposal is to develop a mathematical methodology which is suitable for a rigorous mathematical analysis of the effects of thermal fluctuations (""noise"") and/or spatial heterogeneities on large spatial and temporal scales by focusing on a special type of partial differential equations, the so-called reaction-diffusion equations. These are widely accepted as modeling important qualitative features of e.g. materials with different phases, but are as well used in other applied areas, like mathematical biology." Fields of science natural sciencesmathematicspure mathematicsmathematical analysisdifferential equationspartial differential equationssocial scienceslaw Keywords Applied mathematics Physical sciences Programme(s) FP7-PEOPLE - Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) Topic(s) PEOPLE-2007-4-3.IRG - Marie Curie Action: "International Reintegration Grants" Call for proposal FP7-PEOPLE-2007-4-3-IRG See other projects for this call Funding Scheme MC-IRG - International Re-integration Grants (IRG) Coordinator IDRYMA TECHNOLOGIAS KAI EREVNAS EU contribution € 100 000,00 Address N PLASTIRA STR 100 70013 Irakleio Greece See on map Region Νησιά Αιγαίου Κρήτη Ηράκλειο Activity type Research Organisations Administrative Contact Charalambos Makridakis (Prof.) Links Contact the organisation Opens in new window Website Opens in new window Total cost No data
