Dispersive decay for small localized solutions to the Korteweg-de Vries equation | Vidéo | Carmin.tv

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Dispersive decay for small localized solutions to the Korteweg-de Vries equation

By Herbert Koch

Appears in collection : Evolution Equations: Applied and Abstract Perspectives / Equations d'évolution: perspectives appliquées et abstraites

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.

Information about the video

Date of recording 30/10/2019
Date of publication 29/11/2019
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19575303
Cite this video Koch, Herbert (30/10/2019). Dispersive decay for small localized solutions to the Korteweg-de Vries equation. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19575303
URL https://dx.doi.org/10.24350/CIRM.V.19575303

Domain(s)

Analysis of PDEs

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

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