Pierre Germain (Courant Institute, New York U): Soliton stability in nonlinear dispersive PDEs set on the line - online
Lecture Course (250 072 VO):
Time: Tuesday, 13:30 - 15:00 h
Start: April 13, 2021
End: June 1, 2021
Note: There is no lecture on Tuesday, April 27, 2021
Abstract: This class will provide an overview of the subject of soliton stability in dimension one. Solitons are fundamental objects in nonlinear wave equations, or nonlinear physics in general, and the question of their stability is the first one to ask. Much progress has been made since the 70's, but much remains to be done in this exciting field! The mathematical tools which come into play are nonlinear functional analysis and Fourier analysis.
Content of the lecture course (tentative):
1. The Physics and the structure of the equations
2. The distorted Fourier transform
3. Linear estimates: dispersive and Strichartz estimates
4. Orbital stability
5. Asymptotic stability & modulation
6. Asymptotic stability & resonances
7. Internal modes and Bremsstrahlung
Aim of the course: Provide an overview of the subject of soliton stability in dimension one
Due to the current COVID situation the course will be held online via zoom. Zoom coordinates will be available on request.
Soliton stability in nonlinear dispersive PDEs set on the line, I
Soliton stability in nonlinear dispersive PDEs set on the line, II
Soliton stability in nonlinear dispersive PDEs set on the line, III - cancelled
Soliton stability in nonlinear dispersive PDEs set on the line, III
Soliton stability in nonlinear dispersive PDEs set on the line, IV
Soliton stability in nonlinear dispersive PDEs set on the line, V
Soliton stability in nonlinear dispersive PDEs set on the line, VI
Soliton stability in nonlinear dispersive PDEs set on the line, VII
Attendees
| Name | Affiliation |
|---|---|
| Biswajit Basu | Trinity College |
| Paul Blochas | University of Rennes 1 |
| Andreia Chapouto | University of Edinburgh |
| Piotr T. Chruściel | University of Vienna |
| Thuyen Dang | University of Houston |
| Tushar Das | University of Wisconsin, La Crosse |
| Charlotte Dietze | Ludwig-Maximilians-University Munich |
| Pierre Germain | Courant Institute of Mathematical Sciences |
| Luca Gerolla | Imperial College London |
| Irfan Glogić | University of Vienna |
| Susanna Haziot | University of Vienna |
| Gemma Hood | Imperial College London |
| Jérémie Joudioux | Max Planck Institute for Gravitational Physics |
| Jerzy Knopik | University of Vienna |
| Alexander Komech | University of Vienna |
| Aleksey Kostenko | University of Vienna |
| Vikas Krishnamurthy | University of Vienna |
| Sascha Lill | University of Tübingen |
| Xin Liu | Weierstrass Institut Berlin |
| Maciej Maliborski | University of Vienna |
| Katie Marsden | EPFL, Lausanne |
| Yu Mei | Northwestern Polytechnical University |
| Johanna Michor | University of Vienna |
| Jakob Möller | University of Vienna |
| Dinh Duong Nguyen | University of Rennes 1 |
| Tanja Rindler-Daller | University of Vienna |
| Jesus Sierra | University of Vienna |
| Marius Spoitu | University of Edinburgh |
| Cornelia Vogel | University of Tübingen |
| Riccardo Voso | University of Vienna |
| Zoe Wyatt | University of Cambridge |
| Angelo Zanni | University of Rome, La Sapienza |
| Younes Zine | University of Edinburgh |
- Type:
- SRF Course
- When:
- April 13, 2021 — June 1, 2021
- Where:
- Erwin Schrödinger Institute - virtual