Speaker(s):Francisco Gancedo (University of Seville and IAS, Mathematics)
In this talk we discuss two new results about vortex filament evolution for incompressible Navier-Stokes and Euler equations. For Navier-Stokes, we prove global-in-time regularity for initial helical vortex filament. For Euler, we give existence of weak dissipative solutions with initial vorticity concentrated in a circle.