Objectif "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." Champ scientifique 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) Thème(s) FP7-PEOPLE-2012-IRSES - Marie Curie Action "International Research Staff Exchange Scheme" Appel à propositions FP7-PEOPLE-2012-IRSES Voir d’autres projets de cet appel Régime de financement MC-IRSES - International research staff exchange scheme (IRSES) Coordinateur INSTYTUT MATEMATYCZNY POLSKIEJ AKADEMII NAUK Contribution de l’UE € 102 300,00 Adresse UL. SNIADECKICH 8 00-656 WARSZAWA Pologne Voir sur la carte Région Makroregion województwo mazowieckie Warszawski stołeczny Miasto Warszawa Type d’activité Higher or Secondary Education Establishments Contact administratif Wojciech Zajączkowski (Prof.) Liens Contacter l’organisation Opens in new window Site web Opens in new window Coût total Aucune donnée Participants (2) Trier par ordre alphabétique Trier par contribution de l’UE Tout développer Tout réduire UNIWERSYTET WARSZAWSKI Pologne Contribution de l’UE € 42 900,00 Adresse KRAKOWSKIE PRZEDMIESCIE 26/28 00-927 WARSZAWA Voir sur la carte Région Makroregion województwo mazowieckie Warszawski stołeczny Miasto Warszawa Type d’activité Higher or Secondary Education Establishments Contact administratif Piotr Rybka (Prof.) Liens Contacter l’organisation Opens in new window Site web Opens in new window Coût total Aucune donnée TECHNISCHE UNIVERSITAT DARMSTADT Allemagne Contribution de l’UE € 82 200,00 Adresse KAROLINENPLATZ 5 64289 Darmstadt Voir sur la carte Région Hessen Darmstadt Darmstadt, Kreisfreie Stadt Type d’activité Higher or Secondary Education Establishments Contact administratif Reinhard Farwig (Prof.) Liens Contacter l’organisation Opens in new window Site web Opens in new window Coût total Aucune donnée