An Introduction to Kam and Normal Form Methods for Pdes
A.Y. 2022/2023
Course offered to students on the PhD programme in
Visit the PhD website for the course schedule and other information
Lead instructor: Riccardo Montalto
In this course I will give an introduction to the perturbative methods used in order to analyze the Dynamics of evolution PDEs, with a particular focus on dispersive PDEs and PDEs arising from fluid-dynamics (like Euler, Water Waves equations and some of their approximate models). More precisely I shall treat the following topics: 1) The problem of energy transfer to high frequency modes for linear Schrödinger type equations with time dependent potentials
2) The problem of constructing quasi-periodic solutions for nonlinear equations (Kolmogorov-Arnold-Moser theory for PDEs).
2) The problem of constructing quasi-periodic solutions for nonlinear equations (Kolmogorov-Arnold-Moser theory for PDEs).
Mandatory for students of the Phd programme in " Mathematical Sciences" at first year, 38th cycle
Assessment methods
Giudizio di approvazione
Assessment result
superato/non superato
How to enrol
Deadlines
The course enrolment deadline is usually the 27th day of the month prior to the start date.
How to enrol
- Access enrolment on PhD courses online service using your University login details
- Select the desired programme and click on Registration (Iscrizione) and then on Register (Iscriviti)
Ignore the option "Exam session date” that appears during the enrolment procedure.
Contacts
For help please contact [email protected]
Professor(s)
Reception:
Wednesday, 13.30-17.30
Room 1005, Department of Mathematics, Via Saldini 50, 20133, Milan