Objective 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. Fields of science 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 Topic(s) MSCA-IF-2015-EF - Marie Skłodowska-Curie Individual Fellowships (IF-EF) Call for proposal H2020-MSCA-IF-2015 See other projects for this call Funding Scheme MSCA-IF-EF-ST - Standard EF Coordinator THE UNIVERSITY OF WARWICK Net EU contribution € 195 454,80 Address Kirby Corner Road - University House CV4 8UW Coventry United Kingdom See on map Region West Midlands (England) West Midlands Coventry Activity type Higher or Secondary Education Establishments Links Contact the organisation Opens in new window Website Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Total cost € 195 454,80