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401-5743-DRL 2 Credits DR D-MATH

Dispersive Equations and Wave Turbulence Theory

Lecturers & Examiners: Dr. Gigliola Staffilani
Doctoral students of I-Math (UZH) need to send an email to Jessica Bolsinger ( ) with the course number. The email should have the subject „Graduate course registration (ETH)“.
VVZ CR n/a

Last Updated: 2026-02-05 16:29:40

Abstract

Nachdiplom lecture

Content

In this course we will investigate questions of weak turbulence theory by using as explicit example of wave interactions the solutions to periodic and nonlinear Schrödinger equations. We will start with Strichartz estimates in the periodic setting, then we will move to well-posedness. We will then present two different ways of introducing the evolution of the energy spectrum. We will first work on a method proposed by Bourgain and involving the growth of high Sobolev norms. Then, we will give some ideas of how to derive rigorously the effective dynamics of the energy spectrum itself (wave kinetic equation), when one considers weakly nonlinear dispersive equations.

General Information

Language
English
Levels
DR

Examination

Type
ungraded semester performance

Course Components

Type Title Time & Place Hours
lecture Dispersive Equations and Wave Turbulence Theory
If you would like to attend the lecture, please register by 22 September. For the registration form see
  • Tue 10:15-12:00 (HG G 43)
  • 24.09 Date 10:15-12:00 (HG G 19.2)
24 h semesterly

Offered In