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On global well-posedness for the periodic derivative nonlinear Schrödinger equation on the torus
Multi angle
Authors : Perelman, Galina (Author of the conference)
CIRM (Publisher )
35B15 - Almost and pseudo-almost periodic solutions of PDE
37K15 - Integration of completely integrable systems by inverse spectral and scattering methods
CIRM (Publisher )
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Abstract :
In this talk I will review some recent results regarding global well-posedness of the derivative nonlinear Schrödinger equation on the circle. The talk will be based on a joint work with Hajer Bahouri.
Keywords : derivative nonlinear Schrödinger equation; global well-posedness; integrable systems; profile decomposition
MSC Codes : Keywords : derivative nonlinear Schrödinger equation; global well-posedness; integrable systems; profile decomposition
35B15 - Almost and pseudo-almost periodic solutions of PDE
37K15 - Integration of completely integrable systems by inverse spectral and scattering methods
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Information on the Video
Film maker : Récanzone, LucaLanguage : English Available date : 13/05/2023 Conference Date : 28/04/2025 Subseries : Research talks arXiv category : Analysis of PDEs Mathematical Area(s) : PDE Format : MP4 (.mp4) - HD Video Time : 00:58:32 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2025-04-28_Perelman.mp4 
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Information on the Event
Event Title : Dispersive Integrable Equations: Pathfinders in Infinite-Dimensional Hamiltonian Systems / Équations Intégrables Dispersives, Pionniers des Systèmes Hamiltoniens en Dimension InfinieEvent Organizers : Gérard, Patrick ; Grava, Tamara ; Miller, Peter ; Visan, Monica Dates : 28/04/2025 - 02/05/2025 Event Year : 2025 Event URL : https://conferences.cirm-math.fr/3209.html
Citation Data
DOI : 10.24350/CIRM.V.20344703Cite this video as: Perelman, Galina (2025). On global well-posedness for the periodic derivative nonlinear Schrödinger equation on the torus. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20344703 URI : http://dx.doi.org/10.24350/CIRM.V.20344703 |
See Also
- [Multi angle] Global well posedness and soliton resolution for the half-wave maps equation with rational data / Author of the conference Lenzmann, Enno.
- [Multi angle] Continuum Calogero–Moser models / Author of the conference Laurens, Thierry.
- [Multi angle] Long-time behavior for the Benjamin-Ono equation: an example / Author of the conference Gassot, Louise.
- [Multi angle] Extreme superposition: rogue waves of infinite order / Author of the conference Bilman, Deniz.
Bibliography
- H. BAHOURI, G. PERELMAN, ”Global well-posedness for the derivative nonlinear Schrödinger equation with
periodic boundary condition”, - https://hal.science/hal-04654023v1 - H. BAHOURI, G. PERELMAN, ”Global well-posedness for the derivative nonlinear Schrödinger equation”, Invent.
Math. 229 (2022), no. 2, 639–688. - https://doi.org/10.1007/s00222-022-01113-0
Imagette Video
