Seminario impartido por Alberto Enciso (ICMAT)
Abstract: The Gross–Pitaevskii equation is a nonlinear Schrödinger equation that models the behavior of a Bose-Einstein condensate. The quantum vortices of the condensate are defined by the zero set of the wave function at time $t$. In this talk we will present recent work about how these quantum vortices can break and reconnect in arbitrarily complicated ways. As observed in the physics literature, the distance between the vortices near the breakdown time, say $t = 0$, scales like the square root of $t$: it is the so-called $t^{1/2}$ law. At the heart of the proof — which ultimately entails understanding the evolution of curves in space — lies a remarkable global approximation property for the linear Schrödinger equation. The talk is based on joint work with Daniel Peralta-Salas.
Datos de acceso a la sala virtual:
- Titulo de la reunión: Seminario de Geometría
- La reunión tendrá lugar en la Sala NEWTON
- Para entrar en la reunión, pulse el siguiente enlace: http://csirc.ugr.es/redes/VideoconferenciaWeb/accesosala.jsp?IDSALA=22965918
- Contraseña de la reunión: 443047
- Fecha: Martes, 16 de junio de 2020
- Hora: 11:00 – 12:00
- Organiza: Instituto de Matemáticas Iemath-GR
- Más información: iemath@ugr.es