Analysis Seminar

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On the evolution of vortex filaments

Speaker: Francisco Gancedo, Universidad de Sevilla

Location: Warren Weaver Hall 1302

Date: Thursday, March 6, 2025, 11 a.m.

Synopsis:

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.