Objectif Understanding fundamental phenomena in fluid mechanics, such as formation of vortices at wingtips of a plane taking off or development of repetitive turbulent patterns of clouds, requires studying special flows which are characterized by a jump of velocity across certain interfaces. These singular flows correspond to solutions of the classical Euler equations from inviscid fluid dynamics, called vortex sheets. Remarkably, the existence and uniqueness of vortex sheets remain outstanding open problems even though they are of vital importance in applications in aerodynamics and climatology.We aim to approach these problems from a new point of view and thus contribute to the development of the area. To achieve our goals we will- construct a new family of vortex sheets called 'vortex cusps',- study singularities, which vortex cusps may develop,- study related models to gain further intuitions.The project will be conducted at the University of Warwick under the supervision of a leading researcher in the field, J.L. Rodrigo. It will also include a secondment in Seville, hosted by F. Gancedo and short visits to other experts in the field (D. Cordoba, Ch. Fefferman, T.Cieslak). This setup guarantees the highest quality of academic training, which will significantly broaden the previous interdisciplinary expertise of G. Jamroz (who finished his PhD in Warsaw in January 2015 and is currently a postdoc in Basel) and will, in combination with an intensive transferable skills training, lead him to an independent researcher position. What is more, the project will strengthen the position of the University of Warwick as a top mathematical research centre by extending its network of collaborations across Europe. The results of the research will be actively and frequently communicated both to experts and general public by open-access and peer-reviewed publications as well as conferences and general public events, thus ensuring maximum outreach of the proposed action. Champ scientifique natural sciencesphysical sciencesclassical mechanicsfluid mechanicsfluid dynamicsnatural sciencesearth and related environmental sciencesatmospheric sciencesclimatologyengineering and technologymechanical engineeringvehicle engineeringaerospace engineeringaeronautical engineeringnatural sciencesmathematicspure mathematicsmathematical analysisdifferential equationspartial differential equations Programme(s) H2020-EU.1.3. - EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions Main Programme H2020-EU.1.3.2. - Nurturing excellence by means of cross-border and cross-sector mobility Thème(s) MSCA-IF-2015-EF - Marie Skłodowska-Curie Individual Fellowships (IF-EF) Appel à propositions H2020-MSCA-IF-2015 Voir d’autres projets de cet appel Régime de financement MSCA-IF-EF-ST - Standard EF Coordinateur THE UNIVERSITY OF WARWICK Contribution nette de l'UE € 195 454,80 Adresse Kirby Corner Road - University House CV4 8UW Coventry Royaume-Uni Voir sur la carte Région West Midlands (England) West Midlands Coventry Type d’activité Higher or Secondary Education Establishments Liens Contacter l’organisation Opens in new window Site web Opens in new window Participation aux programmes de R&I de l'UE Opens in new window Réseau de collaboration HORIZON Opens in new window Coût total € 195 454,80