New solutions to the stationary and dissipative Ginzburg-Landau model

Seminar series

PDE CDT Lunchtime Seminar

Date

Thu, 27 Feb 2020
12:00

Location

Speaker

Juan Davila

Organisation

University of Bath

I will describe new solutions to the stationary Ginzburg-Landau equation in 3 dimensions with vortex lines given by interacting helices, with degree one around each filament and total degree an arbitrary positive integer. I will also present results on the asymptotic behavior of vortices in the entire plane for a dissipative Ginzburg-Landau equation. This is work in collaboration with Manuel del Pino, Remy Rodiac, Maria Medina, Monica Musso and Juncheng Wei.