Seminar

Analysis and PDEs Seminar

New Conservation Laws and Energy Cascade for 1d Cubic NLS

Speaker:  Luis Vega (BCAM, UPV/EHU)
Date:  Wednesday, 26 January 2022 - 15:00
Online:  us06web.zoom.us/j/81491079139?pwd=OWo1TWc0NEExNDJZUFljWVRIdkZRQT09 (ID: 814 9107 9139; Access code: 937701)

Abstract:

I’ll present some recent results concerning the IVP of 1d cubic NLS  at the critical level of regularity. I’ll also exhibit a cascade of energy for the 1D Schrödinger map which is related to NLS through the so called Hasimoto transformation. For higher regularity these two equations are completely integrable systems and therefore no cascade of energy is possible.