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Dispersive decay for small localized solutions to the Korteweg-de Vries equation
Multi angle
Authors : Koch, Herbert (Author of the conference)
CIRM (Publisher )
35Q53 - KdV-like (Korteweg-de Vries) equations
37K40 - Soliton theory, asymptotic behavior of solutions
CIRM (Publisher )
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Abstract :
I will report on joint work with Ifrim and Tataru on the asymptotics of small localized solutions to the Korteweg-de Vries equation up to a quartic time scale. Tools are conserved energies, energy estimates and Klainerman Sobolev inequalities. The difficulty of the problem comes from various resonances.
Keywords : Korteweg-de Vries equation; asymptotics
MSC Codes : Keywords : Korteweg-de Vries equation; asymptotics
35Q53 - KdV-like (Korteweg-de Vries) equations
37K40 - Soliton theory, asymptotic behavior of solutions
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 29/11/2019 Conference Date : 30/10/2019 Subseries : Research talks arXiv category : Analysis of PDEs Mathematical Area(s) : PDE Format : MP4 (.mp4) - HD Video Time : 00:33:02 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2019-10-30_Koch.mp4 
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Information on the Event
Event Title : Evolution Equations: Applied and Abstract Perspectives / Equations d'évolution: perspectives appliquées et abstraitesEvent Organizers : Disser, Karoline ; Haller-Dintelmann, Robert ; Kyed, Mads ; Saal, Jürgen Dates : 28/10/2019 - 01/11/2019 Event Year : 2019 Event URL : https://conferences.cirm-math.fr/2071.html
Citation Data
DOI : 10.24350/CIRM.V.19575303Cite this video as: Koch, Herbert (2019). Dispersive decay for small localized solutions to the Korteweg-de Vries equation. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19575303 URI : http://dx.doi.org/10.24350/CIRM.V.19575303 |
See Also
- [Multi angle] $L^p$-theory for Schrödinger systems / Author of the conference Rhandi, Abdelaziz.
- [Multi angle] Determining the global dynamics of the two-dimensional Navier-Stokes equations by a scalar ODE / Author of the conference Titi, Edriss S..
- [Multi angle] Global well-posedness for the primitive equations coupled to nonlinear moisture dynamics with phase changes / Author of the conference Li, Jinkai.
- [Post-edited] $L^{r}$-Helmholtz-Weyl decomposition in 3D exterior domains / Author of the conference Kozono, Hideo.
Bibliography
- IFRIM, Mihaela, KOCH, Herbert, et TATARU, Daniel. Dispersive decay of small data solutions for the KdV equation. arXiv preprint arXiv:1901.05934, 2019. - https://arxiv.org/abs/1901.05934
