Vortex filament solutions for the Navier-Stokes equations
Pierre Germain (Courant Institute of Mathematical Sciences)
17-Sep-2020, 14:00-14:50 (4 years ago)
Abstract: I will present a construction of solutions of the Navier-Stokes equations for data whose vorticity are concentrated on 1D curves (as measures). This corresponds to large locally self-similar data, for which the usual perturbative approach to local well-posedness does not apply, and for which a number of interesting questions arise. These data are also of fundamental importance from a physical perspective, since vortex filaments are expected to play a crucial role in 3D flows.
analysis of PDEs
Audience: researchers in the topic
Organizer: | Quoc-Hung Nguyen* |
*contact for this listing |
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