Objective "The ``FLUX'' project is devoted to the mathematical analysis of an array of problems originating from different domains of real world applications. They include: fluid mechanics, aerodynamics, geophysics, phase transitions and image processing, meteorology. The language for rigorous formulation of models of these phenomena is the theory of partial differential equations. In addition, we face free boundary problems.Our goal is the complete analysis of the model equations. This begins with establishing global in time existence of properly defined solutions. This is a well-known fact that the notion of solution has to be adjusted to the specific problem we study. Once the first task is complete, the regularity and asymptotic behavior will be tackled.Although these equations describe different phenomena, they share common features and hence similar techniques can be applied to analyze the solutions. The cooperation within the project should result in the development of new mathematical tools to deal with problems appearing in the mentioned above applications. The wide exchange on the level of PhD students and young researchers, that we are planning, will lay down foundations of a long lasting cooperation. Many researchers from the external institutions are world-renowned experts in their fields. Their participation in the project should clearly benefit the European partners.This project is a revised and greatly improved version of the ``TOUCH'' proposal, which we submit aware of the fact, that the previous proposal constitutes a lower bound for evaluation of this one. We have thoroughly studied all pointed out weaknesses and corrected them by: reducing the number of both involved nodes and of packages and, simultaneously, creating comparatively small network of nodes with possibly numerous interactions; specifying previously lacking managerial and financial aspects, as well as giving more precise justification for detailed shape of the proposal." Fields of science natural sciencesmathematicspure mathematicsmathematical analysisnatural sciencesphysical sciencesclassical mechanicsfluid mechanicsnatural sciencesmathematicspure mathematicsmathematical analysisdifferential equationspartial differential equations 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) FP7-PEOPLE-2012-IRSES - Marie Curie Action "International Research Staff Exchange Scheme" Call for proposal FP7-PEOPLE-2012-IRSES See other projects for this call Funding Scheme MC-IRSES - International research staff exchange scheme (IRSES) Coordinator INSTYTUT MATEMATYCZNY POLSKIEJ AKADEMII NAUK EU contribution € 102 300,00 Address UL. SNIADECKICH 8 00-656 WARSZAWA Poland See on map Region Makroregion województwo mazowieckie Warszawski stołeczny Miasto Warszawa Activity type Higher or Secondary Education Establishments Administrative Contact Wojciech Zajączkowski (Prof.) Links Contact the organisation Opens in new window Website Opens in new window Total cost No data Participants (2) Sort alphabetically Sort by EU Contribution Expand all Collapse all UNIWERSYTET WARSZAWSKI Poland EU contribution € 42 900,00 Address KRAKOWSKIE PRZEDMIESCIE 26/28 00-927 WARSZAWA See on map Region Makroregion województwo mazowieckie Warszawski stołeczny Miasto Warszawa Activity type Higher or Secondary Education Establishments Administrative Contact Piotr Rybka (Prof.) Links Contact the organisation Opens in new window Website Opens in new window Total cost No data TECHNISCHE UNIVERSITAT DARMSTADT Germany EU contribution € 82 200,00 Address KAROLINENPLATZ 5 64289 Darmstadt See on map Region Hessen Darmstadt Darmstadt, Kreisfreie Stadt Activity type Higher or Secondary Education Establishments Administrative Contact Reinhard Farwig (Prof.) Links Contact the organisation Opens in new window Website Opens in new window Total cost No data