Alexandre Rege: Catalogue data in Spring Semester 2022 |
| Name | Dr. Alexandre Rege |
| Address | Dep. Mathematik ETH Zürich, HG E 64 Rämistrasse 101 8092 Zürich SWITZERLAND |
| Telephone | +41 44 632 55 47 |
| alexandre.rege@math.ethz.ch | |
| Department | Mathematics |
| Relationship | Lecturer |
| Number | Title | ECTS | Hours | Lecturers | |
|---|---|---|---|---|---|
| 401-4820-22L | An Introduction to Mean-Field Limits for Vlasov Equations   Limited number of participants. | 4 credits | 2S | M. Iacobelli, A. Rege | |
| Abstract | This course aims to give an introductory description of the classical approaches to the problem of the mean-field limit in mathematical analysis. In particular, the intent is to learn essential tools and techniques for studying Partial Differential Equations while applying them to Vlasov equations. | ||||
| Learning objective | |||||
| Content | Content of the course: Transport equations Characteristic method Weak solutions to conservative transport equations Kinetic theory of Plasmas Mean field limit From particles model to Vlasov-Poisson Dobrushin’s stability theorem | ||||
| Prerequisites / Notice | Required: Notions in functional analysis, differential equations and Lebesgue integration Optional: Distribution theory, Sobolev spaces, notions in elliptic PDEs | ||||