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: May 25, 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.

Lecture Course Announcement (pdf)

Link to the course directory.

April 13, 2021
13:30 — 15:00
Pierre Germain (NY U)

Soliton stability in nonlinear dispersive PDEs set on the line, I

April 20, 2021
13:30 — 15:00
Pierre Germain (NY U)

Soliton stability in nonlinear dispersive PDEs set on the line, II

April 27, 2021
13:30 — 15:00
Pierre Germain (NY U)

Soliton stability in nonlinear dispersive PDEs set on the line, III

May 4, 2021
13:30 — 15:00
Pierre Germain (NY U)

Soliton stability in nonlinear dispersive PDEs set on the line, IV

May 11, 2021
13:30 — 15:00
Pierre Germain (NY U)

Soliton stability in nonlinear dispersive PDEs set on the line, V

May 18, 2021
13:30 — 15:00
Pierre Germain (NY U)

Soliton stability in nonlinear dispersive PDEs set on the line, VI

May 25, 2021
13:30 — 15:00
Pierre Germain (NY U)

Soliton stability in nonlinear dispersive PDEs set on the line, VII

  • Biswajit Basu (Trinity College, Dublin)
  • Paul Blochas (U Rennes 1)
  • Andreia Chapouto (U Edinburgh)
  • Piotr T. Chrusciel (U Vienna)
  • Thuyen Dang (U of Houston)
  • Tushar Das (U of Wisconsin, La Crosse)
  • Charlotte Dietze (LMU Munich)
  • Pierre Germain (CIMS, New York)
  • Luca Gerolla (Imperial College, London)
  • Irfan Glogić (U Vienna)
  • Susanna Haziot (U Vienna)
  • Gemma Hood (Imperial College, London)
  • Jérémie Joudioux (MPIGP, Potsdam)
  • Jerzy Knopik (U Vienna)
  • Aleksey Kostenko (U Vienna)
  • Vikas Krishnamurthy (U Vienna)
  • Sascha Lill (U Tübingen)
  • Xin Liu (WIAS, Berlin)
  • Katie Marsden (EPFL Lausanne)
  • Yu Mei (NPU)
  • Johanna Michor (U Vienna)
  • Jakob Möller (U Vienna)
  • Dinh Duong Nguyen (U Rennes 1)
  • Tanja Rindler-Daller (U Vienna)
  • Jesus Sierra (U Vienna)
  • Marius Spoitu (U Edinburgh)
  • Zoe Wyatt (U Cambridge)
  • Angelo Zanni (U of Rome, La Sapienza)
  • Younes Zine (U Edinburgh)
At a glance
Type:
SRF Course
When:
April 13, 2021 — May 25, 2021
Where:
Erwin Schrödinger Institute - virtual
Organizer(s):
Christoph Dellago (U Vienna)